Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
71.4%	62.5%	25%	0%	12.5%	0%	0%	5
83.3%	62.5%	12.5%	0%	25%	0%	0%	6
91.3%	65.6%	6.2%	0%	28.1%	0%	0%	7
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	8
97.7%	66.4%	1.6%	0%	32%	0%	0%	9
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	10
99.4%	66.6%	0.4%	0%	33%	0%	0%	11
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample936.0ms (10.7%)

Results

924.0ms	8256×	body	256	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess118.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1428×	`fma-neg`
1342×	`fma-def`
886×	`distribute-lft-neg-in`
840×	`distribute-lft-in`
704×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	24	21
2	54	21
3	125	21
4	212	21
5	352	21
6	735	21
7	1452	21
8	2360	21
9	5036	21
10	6260	21
11	6920	21
12	7165	21
13	7477	21
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-neg`
1342×	`fma-def`
886×	`distribute-lft-neg-in`
840×	`distribute-lft-in`
704×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	24	21
2	54	21
3	125	21
4	212	21
5	352	21
6	735	21
7	1452	21
8	2360	21
9	5036	21
10	6260	21
11	6920	21
12	7165	21
13	7477	21

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

eval1.0ms (0%)

Compiler: Compiled 47 to 29 computations (38.3% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	0.2b	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
▶	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
✓	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

New

Error

Program

✓

0.1b

(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

✓

0.1b

(*.f64 x -6450306886639899/50000000000000000)

✓

0.2b

(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	inf	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	0	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	0	(*.f64 x -6450306886639899/50000000000000000)
0.0ms	x	@	-inf	(*.f64 x -6450306886639899/50000000000000000)

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1542×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	181	43
2	2049	43

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

Inputs

(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

(*.f64 x -6450306886639899/50000000000000000)

(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -6450306886639899/50000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-/r*`
1310×	`unswap-sqr`
862×	`distribute-lft-in`
836×	`distribute-rgt-in`
690×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1339
1	284	1321
2	1325	1277
3	6611	1277

Stop Event

1×	node limit

Counts

87 → 74

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3) 1/3)
(sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 x -6450306886639899/50000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 x -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))
(+.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))
(+.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)
(.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
✓	0.2b	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
0.0ms	x	@	0	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
0.0ms	x	@	-inf	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
0.0ms	x	@	inf	(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
0.0ms	x	@	-inf	(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	181	36
2	2048	36

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1672×	`associate-+r+`
1550×	`associate-+l+`
784×	`unswap-sqr`
600×	`distribute-lft-in`
578×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1154
1	228	1136
2	1020	1104
3	4328	1104

Stop Event

1×	node limit

Counts

62 → 57

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)
(pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
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(+.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1) 238732414637843/250000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1)
(.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
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(.f64 (sqrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))

Outputs
(*.f64 238732414637843/250000000000000 x)
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(/.f64 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))
(/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) (.f64 -6450306886639899/50000000000000000 (.f64 x x)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 x (.f64 x (.f64 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x (*.f64 x -1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (fma.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) (fma.f64 x (.f64 x 1539897338202650532481239097857/12500000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 1)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 2))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000) 3))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(.f64 (.f64 x x) x)
✓	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))

Compiler

Compiled 33 to 14 computations (57.6% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 238732414637843/250000000000000 x)
0.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
0.0ms	x	@	-inf	(*.f64 238732414637843/250000000000000 x)
0.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
0.0ms	x	@	-inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))

rewrite186.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`*-commutative`
696×	`unswap-sqr`
622×	`swap-sqr`
550×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	224	48
2	2838	48

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

Inputs
(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
(*.f64 238732414637843/250000000000000 x)
(.f64 (.f64 x x) x)
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))
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simplify254.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-+l-`
1260×	`associate-+r-`
1194×	`+-commutative`
854×	`fma-def`
648×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	11909
1	1477	10231
2	6587	10231

Stop Event

1×	node limit

Counts

265 → 305

Calls

Call 1

Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
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(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 6) (pow.f64 x 6)))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) 3) (pow.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 3)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (.f64 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))))) (/.f64 1 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (+.f64 (.f64 (pow.f64 x 6) 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) 1) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 1 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (.f64 (pow.f64 x 3) 0))
(fma.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))

Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) 1)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(*.f64 x 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 x 238732414637843/250000000000000)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 x 238732414637843/250000000000000)
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(.f64 (/.f64 (.f64 x x) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(.f64 (.f64 x x) (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (neg.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(/.f64 (.f64 (neg.f64 x) (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) (-.f64 (.f64 x -238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 2) (.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (fma.f64 x 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (fma.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 x 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(fabs.f64 (.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))
(log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 1 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (.f64 (pow.f64 x 3) 0))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (*.f64 (pow.f64 x 3) 0))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
✓	0.2b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
0.0ms	x	@	-inf	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	0	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	inf	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1750×	`*-un-lft-identity`
1654×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	210	34
2	2257	34

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-/l*`
668×	`distribute-lft-neg-in`
620×	`distribute-rgt-neg-in`
590×	`associate-/r*`
490×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1156
1	228	1134
2	990	1128
3	3835	1128

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)
(.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(.f64 1 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 3) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (-.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 (.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 1 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 (pow.f64 x 6) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (fma.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 (pow.f64 x 3) 6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 3) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (-.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (-.f64 (+.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 x (.f64 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (-.f64 (fma.f64 x (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 x (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x (+.f64 (.f64 1539897338202650532481239097857/12500000000000000000000000000000 (pow.f64 x 3)) (.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))
(/.f64 (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (fma.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x (+.f64 (.f64 x 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 3) 1539897338202650532481239097857/12500000000000000000000000000000)))))
(pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (sqrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (cbrt.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(pow.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(sqrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (exp.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(exp.f64 (.f64 (log.f64 (fma.f64 238732414637843/250000000000000 x (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval352.0ms (4%)

Compiler: Compiled 10775 to 8248 computations (23.5% saved)

prune98.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	473	11	484
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	476	12	488

Error

Counts

488 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.7b	(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
	27.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (.f64 x -238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	0.2b	(+.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
▶	0.2b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
	46.1b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
	0.2b	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
	4.4b	(.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
▶	4.3b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
▶	46.1b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
	46.1b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
▶	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 346 to 248 computations (28.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) x)
✓	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (.f64 x -6450306886639899/50000000000000000))
0.0ms	x	@	0	(.f64 x (.f64 x -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(.f64 x (.f64 x -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) x)
0.0ms	x	@	inf	(.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) x)

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`add-sqr-sqrt`
1290×	`*-un-lft-identity`
1202×	`add-cube-cbrt`
1182×	`add-cbrt-cube`
1168×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1648	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in`
1094×	`distribute-rgt-in`
1086×	`associate-+r+`
1050×	`associate-+l+`
914×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	598
1	147	598
2	608	598
3	1948	598

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 1)
(pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 1)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6450306886639899/50000000000000000)))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	inf	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	-inf	(*.f64 x 238732414637843/250000000000000)

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`associate-l`
902×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
826×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

836×	`log-prod`
820×	`distribute-rgt-out`
782×	`+-commutative`
690×	`fma-def`
624×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	85	161
2	261	161
3	1817	161
4	3909	161
5	6076	161

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(*.f64 238732414637843/250000000000000 x)
(sqrt.f64 (.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(*.f64 238732414637843/250000000000000 x)
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms	x	@	inf	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms	x	@	-inf	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1296×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1188×	`add-cbrt-cube`
1174×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	142	13
2	1666	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1144×	`log-prod`
832×	`distribute-rgt-in`
808×	`distribute-lft-in`
802×	`associate-+r+`
774×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	299
1	84	299
2	321	299
3	1982	299
4	7714	299

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓	0.2b	(.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	4.4b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

Compiler

Compiled 88 to 61 computations (30.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
0.0ms	x	@	0	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
0.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite179.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-/r/`
906×	`associate-/l/`
778×	`distribute-lft-in`
302×	`add-sqr-sqrt`
286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	115
1	304	55
2	4204	55

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

(*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))

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Outputs

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simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-+r+`
966×	`associate-r`
830×	`associate-+l+`
774×	`+-commutative`
666×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	394	7632
1	1255	6628
2	6639	6628

Stop Event

1×	node limit

Counts

178 → 234

Calls

Call 1

Inputs
238732414637843/250000000000000
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(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
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(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
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(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
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(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))

Outputs
238732414637843/250000000000000
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(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) -238732414637843/250000000000000))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))
(/.f64 (.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) -238732414637843/250000000000000))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000))) (neg.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)))
(/.f64 x (/.f64 (neg.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))
(.f64 1 (/.f64 (.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) -238732414637843/250000000000000)))
(pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)) 2))
(fabs.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
✓	0.2b	(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
✓	5.8b	(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	21.4b	(/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x)

Compiler

Compiled 82 to 53 computations (35.4% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x)
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x)
0.0ms	x	@	0	(.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
0.0ms	x	@	0	(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x)

rewrite147.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`associate-/r/`
1252×	`associate-/l/`
374×	`add-sqr-sqrt`
362×	`*-un-lft-identity`
360×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	389	118
2	5343	118

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x)
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)
(.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 (.f64 x x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 1 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x x) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 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simplify169.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-r`
1288×	`associate-l`
1138×	`associate-/l*`
924×	`associate-*r/`
808×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	9296
1	1610	8690

Stop Event

1×	node limit

Counts

236 → 280

Calls

Call 1

Inputs
(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
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(.f64 (/.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (/.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))) (cbrt.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) (cbrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(.f64 (/.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000)) 2) (/.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))) (cbrt.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))))) (cbrt.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))
(pow.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x)) 1)
(pow.f64 (sqrt.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x)) 3) 1/3)
(pow.f64 (/.f64 1 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))) -1)
(neg.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 (-.f64 -238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 x (*.f64 x x)))))
(sqrt.f64 (pow.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x)) 2))
(log.f64 (exp.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x)))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 (.f64 x x) x)) 3) (pow.f64 (fma.f64 (.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))))
(exp.f64 (log.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (*.f64 x x) x))) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 (.f64 x x) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 1)
(pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 41606458931834106848498498730201/2500000000000000000000000000000000) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
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(+.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)) (.f64 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 x x)))
(+.f64 (.f64 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 x x)) (.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))) 1)
(/.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 1)
(/.f64 (.f64 (.f64 x x) (-.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (.f64 (.f64 x x) (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3))) (+.f64 (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 (*.f64 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)))
(/.f64 (.f64 (-.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8))) (.f64 x x)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (.f64 (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3)) (.f64 x x)) (+.f64 (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 (*.f64 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)))
(pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 1)
(pow.f64 (.f64 x (sqrt.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3))
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(exp.f64 (log.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))

Outputs
(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
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(*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5))
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(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 x (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 5)))
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(/.f64 (.f64 (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3)) (.f64 x x)) (+.f64 (.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8)) (+.f64 (*.f64 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)))
(/.f64 (.f64 x x) (/.f64 (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8) (fma.f64 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 4) 3) 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 4) 3) 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (fma.f64 1731097424846398127433932987101239209263670418016908009389500401/6250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 8) (fma.f64 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))) (*.f64 x x))
(pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 1)
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(pow.f64 (.f64 x (sqrt.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 2)
(pow.f64 (.f64 x (sqrt.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 3)
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(pow.f64 (pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3) 1/3)
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) 2)))
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))) (.f64 x x)))
(.f64 (.f64 x x) (log.f64 (exp.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))))))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)))) 3))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(cbrt.f64 (.f64 (pow.f64 x 6) (pow.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) 3)))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) 3) (pow.f64 x 6)))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(exp.f64 (log.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))) 1))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (+.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000))))))
(fma.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6) (.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x)))
(fma.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x) (.f64 -41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))

eval468.0ms (5.3%)

Compiler: Compiled 16016 to 11103 computations (30.7% saved)

prune133.0ms (1.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	657	5	662
Fresh	2	4	6
Picked	1	0	1
Done	0	5	5
Total	660	14	674

Error

Counts

674 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	16.5b	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
	0.7b	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
	60.2b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	0.2b	(+.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
✓	0.2b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
▶	0.2b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
▶	46.1b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
▶	0.2b	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
✓	4.3b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓	46.1b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
▶	46.2b	(.f64 x (.f64 x (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))
▶	46.1b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 278 to 205 computations (26.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
	0.1b	(*.f64 x 238732414637843/250000000000000)
✓	0.2b	(.f64 (.f64 x -6450306886639899/50000000000000000) (*.f64 x x))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x -6450306886639899/50000000000000000) (*.f64 x x))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
0.0ms	x	@	inf	(.f64 (.f64 x -6450306886639899/50000000000000000) (*.f64 x x))

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`*-commutative`
822×	`unswap-sqr`
648×	`swap-sqr`
436×	`distribute-lft-in`
432×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	218	34
2	2825	34

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(.f64 (.f64 x -6450306886639899/50000000000000000) (*.f64 x x))
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000))) (-.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) (exp.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 238732414637843/250000000000000 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 238732414637843/250000000000000 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (*.f64 238732414637843/250000000000000 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule 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simplify197.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1552×	`associate-/r*`
1170×	`associate-*r/`
992×	`associate-*l/`
506×	`associate-r`
420×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	7137
1	874	6559
2	3822	6349

Stop Event

1×	node limit

Counts

133 → 183

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)))) (cbrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1) (+.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)) (cbrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 4) (.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000)))) (+.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) 3) (pow.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3)) (/.f64 1 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000)))) (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 4) (+.f64 (.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 6) (.f64 (pow.f64 x 6) 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))))) (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (*.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 3) (pow.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))))) (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 6) (.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) x) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) 1) (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (sqrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000)))) (sqrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x -238732414637843/250000000000000))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (.f64 (cbrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000))) (cbrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000))))) (cbrt.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x -238732414637843/250000000000000))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (+.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) (-.f64 (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (sqrt.f64 (*.f64 x 238732414637843/250000000000000))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))) 1) (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000)))))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -56993165798814994692847692649/62500000000000000000000000000)) (+.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (neg.f64 (*.f64 x -238732414637843/250000000000000)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))))))
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 1 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 x 238732414637843/250000000000000))
(fma.f64 1 (.f64 x 238732414637843/250000000000000) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x (*.f64 x 238732414637843/250000000000000))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (sqrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 -6450306886639899/50000000000000000 (.f64 x x))
✓	0.2b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 -6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	0	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
0.0ms	x	@	-inf	(.f64 -6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	-inf	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`add-sqr-sqrt`
1274×	`*-un-lft-identity`
1190×	`add-cube-cbrt`
1176×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	144	26
2	1727	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))))))))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-+r+`
1508×	`associate-r`
1468×	`associate-+l+`
1238×	`associate-l`
412×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	151	598
2	607	598
3	3754	598

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 1 (.f64 -6450306886639899/50000000000000000 (.f64 x x))) 1)
(pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) x) 2)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 -6450306886639899/50000000000000000 (.f64 x x))) 1)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 1)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))) 3)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(pow.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 3) 1/3)
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) (*.f64 x x)))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 3))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(exp.f64 (log.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))

✓

0.1b

(*.f64 (*.f64 x x) -6450306886639899/50000000000000000)

✓

0.2b

(*.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
0.0ms	x	@	0	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
0.0ms	x	@	-inf	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
0.0ms	x	@	inf	(+.f64 238732414637843/250000000000000 (.f64 (.f64 x x) -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(+.f64 238732414637843/250000000000000 (.f64 (.f64 x x) -6450306886639899/50000000000000000))

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1900×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	194	49
2	2422	49

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs

(*.f64 (+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)

(*.f64 (*.f64 x x) -6450306886639899/50000000000000000)

(+.f64 238732414637843/250000000000000 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x) (*.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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#<rule egg-rr> (2) ((x *.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 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56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (*.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)))))

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-/l*`
874×	`unswap-sqr`
846×	`distribute-lft-in`
834×	`associate-/r*`
828×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2343
1	382	2171
2	1408	2111
3	5910	2111

Stop Event

1×	node limit

Counts

105 → 92

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x))
(+.f64 (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(+.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (.f64 x 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(/.f64 (.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))))
(/.f64 (.f64 x (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x)))))
(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))))
(/.f64 (.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x)))))
(pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 1)
(pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 1)
(-.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x)))) (/.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x)))))
(.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))))
(/.f64 1 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x)))) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (*.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))))
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (neg.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(.f64 x (.f64 x -6450306886639899/50000000000000000))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(.f64 x (.f64 x -6450306886639899/50000000000000000))
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
238732414637843/250000000000000
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(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
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(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
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(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
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(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
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(/.f64 (.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))))
(.f64 (/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) x)
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))
(/.f64 (.f64 x (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x)))))
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(/.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))
(.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 (.f64 1539897338202650532481239097857/12500000000000000000000000000000 x) x))))
(/.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (neg.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) (neg.f64 (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x)))))
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(/.f64 (fma.f64 (pow.f64 x 4) -41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))
(/.f64 (neg.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 -1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x))))))
(.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) -1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 (.f64 1539897338202650532481239097857/12500000000000000000000000000000 x) x))))
(/.f64 (fma.f64 (pow.f64 x 6) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 (fma.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)))
(pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 1)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) 1/3)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 2))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) (.f64 x (sqrt.f64 -6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) 238732414637843/250000000000000)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

Compiler

Compiled 12 to 9 computations (25% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))
✓	0.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3)))
✓	0.4b	(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
✓	29.2b	(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))

Compiler

Compiled 36 to 27 computations (25% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
0.0ms	x	@	0	(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
0.0ms	x	@	-inf	(.f64 x (cbrt.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3)))
0.0ms	x	@	-inf	(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`add-sqr-sqrt`
1810×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1686×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	231	46
2	2448	46

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(.f64 x (cbrt.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3)))
(.f64 x (.f64 x (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x -6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (pow.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -6450306886639899/50000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -6450306886639899/50000000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) 1/3) (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 x -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 x -6450306886639899/50000000000000000) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x -6450306886639899/50000000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -6450306886639899/50000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 -6450306886639899/50000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -6450306886639899/50000000000000000 (.f64 x (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -6450306886639899/50000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 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simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`unswap-sqr`
830×	`distribute-lft-neg-in`
822×	`distribute-rgt-neg-in`
806×	`*-commutative`
666×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1734
1	427	1734
2	1631	1734
3	6235	1734

Stop Event

1×	node limit

Counts

130 → 103

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
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(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
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(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
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(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))

Outputs
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (neg.f64 x))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
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(*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (neg.f64 x))
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(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
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(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
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(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2))
(.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (.f64 x x))
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(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2)))
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(.f64 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (neg.f64 x)) x)
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(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3))
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(neg.f64 (*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
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(neg.f64 (*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
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(neg.f64 (*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(*.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (neg.f64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 x (pow.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 1/3))
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(.f64 (.f64 x -6450306886639899/50000000000000000) 1)
(*.f64 x -6450306886639899/50000000000000000)
(.f64 1 (.f64 x -6450306886639899/50000000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)))
(*.f64 x -6450306886639899/50000000000000000)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))
(*.f64 x -6450306886639899/50000000000000000)
(.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 2))
(*.f64 x -6450306886639899/50000000000000000)
(.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) 1/3))
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(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
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(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2)) (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) 3) (pow.f64 (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2) 3) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(sqrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 6))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(cbrt.f64 (pow.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(expm1.f64 (log1p.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 x -6450306886639899/50000000000000000))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x -6450306886639899/50000000000000000))) 1))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(log1p.f64 (expm1.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 1)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 2)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 2))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -6450306886639899/50000000000000000) x) x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(exp.f64 (log.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 2)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

eval172.0ms (2%)

Compiler: Compiled 8468 to 6237 computations (26.3% saved)

prune129.0ms (1.5%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	445	1	446
Fresh	0	4	4
Picked	1	0	1
Done	0	9	9
Total	446	14	460

Error

Counts

460 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	0.7b	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
▶	60.2b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	0.2b	(+.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
✓	0.2b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
✓	0.2b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
✓	46.1b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	0.2b	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
✓	4.3b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓	46.1b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
▶	46.2b	(.f64 x (.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))))
✓	46.1b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 250 to 184 computations (26.4% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
✓	0.2b	(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
	0.2b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	30.5b	(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))

Compiler

Compiled 88 to 70 computations (20.5% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
1.0ms	x	@	inf	(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
0.0ms	x	@	0	(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
0.0ms	x	@	0	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

rewrite254.0ms (2.9%)

Algorithm

3×	egg-rewrite
1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1768×	`add-sqr-sqrt`
1750×	`*-un-lft-identity`
1728×	`*-un-lft-identity`
1654×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	270	75
2	2970	75
0	10	27
1	209	13
2	2244	13
0	7	13
1	149	13
2	1595	13
0	10	21
1	210	21
2	2256	21

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs

(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))

(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))

(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 0)) (sqrt.f64 (*.f64 (pow.f64 x 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 0)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x 238732414637843/250000000000000)) (-.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/l/`
912×	`fma-def`
704×	`associate-/r/`
632×	`associate-*r/`
574×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1134
1	391	1052
2	1405	986
3	5489	986

Stop Event

1×	node limit

Counts

82 → 78

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 0))) 1)
(*.f64 (pow.f64 x 3) 0)
(.f64 (.f64 (pow.f64 x 3) 0) 1)
(.f64 1 (.f64 (pow.f64 x 3) 0))
(.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 0)) (sqrt.f64 (*.f64 (pow.f64 x 3) 0)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 0)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 0)) 2) (cbrt.f64 (*.f64 (pow.f64 x 3) 0)))
(/.f64 (-.f64 (.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 3) (pow.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3)) (+.f64 (.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))
(pow.f64 (*.f64 (pow.f64 x 3) 0) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 0)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 0)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 0))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 0) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 0)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 0)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 0)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 0)))
(-.f64 (+.f64 1 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(pow.f64 (*.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
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(+.f64 (.f64 (.f64 x 238732414637843/250000000000000) 1) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) 1)
(.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 x 238732414637843/250000000000000) 3) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3)) (+.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (-.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) (.f64 (.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)
(pow.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2))
(log.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))
(cbrt.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))
(exp.f64 (.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
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localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x 238732414637843/250000000000000)
✓	3.7b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1524×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	179	7
2	2314	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 238732414637843/250000000000000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 0) (-.f64 (*.f64 x 238732414637843/250000000000000) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 0) (+.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 0 (*.f64 (*.f64 x 238732414637843/250000000000000) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 238732414637843/250000000000000 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 238732414637843/250000000000000 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)))))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1154×	`times-frac`
878×	`distribute-lft-neg-in`
814×	`distribute-rgt-neg-in`
720×	`associate-+r-`
550×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	911
1	271	851
2	878	851
3	4737	851

Stop Event

1×	node limit

Counts

63 → 59

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(+.f64 1 (fma.f64 x 238732414637843/250000000000000 -1))
(+.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(.f64 (.f64 x 238732414637843/250000000000000) 1)
(.f64 1 (.f64 x 238732414637843/250000000000000))
(.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (.f64 x 238732414637843/250000000000000) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (.f64 x 238732414637843/250000000000000) 2))))
(.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 0) (-.f64 (*.f64 x 238732414637843/250000000000000) 0))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 0) (+.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 0 (.f64 (*.f64 x 238732414637843/250000000000000) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(fma.f64 x 238732414637843/250000000000000 0)
(fma.f64 238732414637843/250000000000000 x 0)
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) 0)
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)
(fma.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 0)
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (fma.f64 x 238732414637843/250000000000000 -1))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (fma.f64 x 238732414637843/250000000000000 1) -1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(+.f64 -1 (fma.f64 x 238732414637843/250000000000000 1))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(.f64 (.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(.f64 1 (.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))
(*.f64 238732414637843/250000000000000 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (/.f64 1 (+.f64 (.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 238732414637843/250000000000000 x 2)) (fma.f64 238732414637843/250000000000000 x 2))
(.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (.f64 x 238732414637843/250000000000000) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 x -238732414637843/250000000000000 -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 238732414637843/250000000000000 x)
(.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 238732414637843/250000000000000 x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 1))
(*.f64 238732414637843/250000000000000 x)
(/.f64 1 (/.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 238732414637843/250000000000000 x 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 x -238732414637843/250000000000000 -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 238732414637843/250000000000000 x 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1) (-.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 238732414637843/250000000000000 x 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 x -238732414637843/250000000000000 -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (-.f64 1 (*.f64 (fma.f64 x 238732414637843/250000000000000 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 x -238732414637843/250000000000000 -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 0) (-.f64 (*.f64 x 238732414637843/250000000000000) 0))
(*.f64 238732414637843/250000000000000 x)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 0) (+.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 0 (.f64 (*.f64 x 238732414637843/250000000000000) 0))))
(*.f64 238732414637843/250000000000000 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2)) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 238732414637843/250000000000000 x 2)) (fma.f64 238732414637843/250000000000000 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (+.f64 (*.f64 x 238732414637843/250000000000000) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 1) 2) (fma.f64 x 238732414637843/250000000000000 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 2) (fma.f64 238732414637843/250000000000000 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (-.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 x -238732414637843/250000000000000 -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 238732414637843/250000000000000 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 238732414637843/250000000000000 x 1) (fma.f64 238732414637843/250000000000000 x 2))))
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(sqrt.f64 (.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 238732414637843/250000000000000))))
(*.f64 238732414637843/250000000000000 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))
(*.f64 238732414637843/250000000000000 x)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(*.f64 238732414637843/250000000000000 x)
(fma.f64 x 238732414637843/250000000000000 0)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 238732414637843/250000000000000 x 0)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 1 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 1 (fma.f64 x 238732414637843/250000000000000 1) -1)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 0)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 0)
(*.f64 238732414637843/250000000000000 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) 2) (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 1)) -1)
(*.f64 238732414637843/250000000000000 x)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x)))
✓	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 x x))
✓	0.3b	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	0.4b	(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	-inf	(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)
0.0ms	x	@	inf	(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)

rewrite138.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`associate-/r*`
1288×	`associate-*r/`
1114×	`*-commutative`
1106×	`associate-/l*`
910×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	241	62
2	3148	62

Stop Event

1×	node limit

Counts

4 → 179

Calls

Call 1

Inputs
(*.f64 56993165798814994692847692649/62500000000000000000000000000 x)
(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (/.f64 1 (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 238732414637843/250000000000000 (sqrt.f64 (/.f64 (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) x))) (/.f64 238732414637843/250000000000000 (sqrt.f64 (/.f64 (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (/.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))) (pow.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))) 2) (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 x (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)) 2) (/.f64 (cbrt.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x)) (fma.f64 6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 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simplify221.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

712×	`distribute-lft-neg-in`
672×	`times-frac`
660×	`associate-r`
632×	`associate-/l*`
592×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	8341
1	1264	7699
2	6338	7699

Stop Event

1×	node limit

Counts

215 → 279

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5)) (*.f64 238732414637843/250000000000000 x)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5)) (.f64 238732414637843/250000000000000 x))))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(-.f64 (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x)) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (+.f64 (.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/.f64 1 (pow.f64 x 7))) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3)))))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
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(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (+.f64 (.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/.f64 1 (pow.f64 x 7))) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x))) 1)
(pow.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x) 1)
(pow.f64 (*.f64 238732414637843/250000000000000 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x)) 3)
(pow.f64 (pow.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 56993165798814994692847692649/62500000000000000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x))))
(cbrt.f64 (pow.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x) 3))
(expm1.f64 (log1p.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x)))
(exp.f64 (log.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x)))
(log1p.f64 (expm1.f64 (*.f64 56993165798814994692847692649/62500000000000000000000000000 x)))
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(/.f64 (.f64 (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 3)) (/.f64 1 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (+.f64 (.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 (.f64 (-.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3) (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000))))) (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) 3)))
(/.f64 (.f64 (+.f64 2518851221883474806474308879239472301455129235700566435468270085429879651608189242904843217797706922650716830371161169609906877043/3814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000))))) (-.f64 (+.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3) (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3))) (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3))))
(/.f64 (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) 1) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(/.f64 (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (sqrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))) (sqrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(/.f64 (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 (cbrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (cbrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))) (cbrt.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(/.f64 (/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (*.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000))))
(/.f64 (/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)))))
(/.f64 (/.f64 (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x x) 1539897338202650532481239097857/12500000000000000000000000000000)))))
(pow.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 2))
(log.f64 (exp.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 1 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (*.f64 x 6450306886639899/50000000000000000) x 238732414637843/250000000000000)

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5)) (*.f64 238732414637843/250000000000000 x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5) (*.f64 238732414637843/250000000000000 x)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5)) (.f64 238732414637843/250000000000000 x))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow.f64 x 7) (fma.f64 41606458931834106848498498730201/2387324146378430000000000000000000 (pow.f64 x 5) (*.f64 238732414637843/250000000000000 x))))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(-.f64 (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x)) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (-.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (+.f64 (.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/.f64 1 (pow.f64 x 7))) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (+.f64 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (-.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (+.f64 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(-.f64 (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x)) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (*.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (-.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (/.f64 1 (pow.f64 x 5))) (.f64 56993165798814994692847692649/8062883608299873750000000000 (/.f64 1 x))) (+.f64 (.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/.f64 1 (pow.f64 x 7))) (.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (+.f64 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (-.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (+.f64 (/.f64 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(+.f64 (/.f64 56993165798814994692847692649/8062883608299873750000000000 x) (+.f64 (/.f64 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow.f64 x 5)) (-.f64 (/.f64 -13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (pow.f64 x 3)) (/.f64 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (pow.f64 x 7)))))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
238732414637843/250000000000000
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
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(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(exp.f64 (log.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (*.f64 x x) 6450306886639899/50000000000000000 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 1 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)
(fma.f64 (.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 238732414637843/250000000000000)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (cbrt.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 238732414637843/250000000000000)
(fma.f64 (*.f64 x 6450306886639899/50000000000000000) x 238732414637843/250000000000000)
(fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.5b	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
✓	0.8b	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	0	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	-inf	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
0.0ms	x	@	0	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))

rewrite343.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`associate-*r/`
938×	`*-commutative`
756×	`associate-/r*`
646×	`unswap-sqr`
638×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	228	42
2	2788	42

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs

(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000)))) (*.f64 1 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) 6450306886639899/50000000000000000)) (*.f64 (neg.f64 x) -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1) (*.f64 (*.f64 x 238732414637843/250000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 6450306886639899/50000000000000000) (neg.f64 x)) (*.f64 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simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1226×	`associate-*r/`
1214×	`associate-/r*`
1202×	`associate-/l*`
958×	`*-commutative`
872×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	286	4041
1	744	3801
2	2512	3801

Stop Event

1×	node limit

Counts

127 → 152

Calls

Call 1

Inputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (+.f64 (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)) (*.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))) (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))) (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (*.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 2))) (.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)
(.f64 1 (/.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2))
(.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 -1 (/.f64 -1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
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(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))

Outputs
250000000000000/238732414637843
(+.f64 250000000000000/238732414637843 (*.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)))
(+.f64 250000000000000/238732414637843 (.f64 8062883608299873750000000000/56993165798814994692847692649 (.f64 x x)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 (*.f64 x x) 250000000000000/238732414637843)
(+.f64 250000000000000/238732414637843 (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 (pow.f64 x 2)) (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (.f64 x x) (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4))))
(+.f64 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (.f64 x x) 250000000000000/238732414637843) (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4)))
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(+.f64 250000000000000/238732414637843 (fma.f64 8062883608299873750000000000/56993165798814994692847692649 (.f64 x x) (fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 4) (.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 6)))))
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(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 2))
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(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))))
✓	0.2b	(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)) x) -6450306886639899/50000000000000000)))
✓	0.4b	(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
✓	29.2b	(cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))

Compiler

Compiled 64 to 35 computations (45.3% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
0.0ms	x	@	0	(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
0.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))
0.0ms	x	@	inf	(cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`sqrt-prod`
1040×	`unswap-sqr`
868×	`swap-sqr`
444×	`sqr-pow`
436×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	263	52
2	3167	52

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))
(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)) x) -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x -6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x 6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -6450306886639899/50000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 6450306886639899/50000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) (.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 41606458931834106848498498730201/2500000000000000000000000000000000) x) (cbrt.f64 -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 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simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1400×	`distribute-lft-in`
1398×	`distribute-rgt-in`
714×	`times-frac`
646×	`associate-/l*`
562×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3077
1	684	2731
2	2506	2677

Stop Event

1×	node limit

Counts

157 → 167

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 2))
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(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2))
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2))
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2))
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2)))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2)))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 2)))
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(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3))
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(.f64 -1 (.f64 (cbrt.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) (pow.f64 x 3)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -6450306886639899/50000000000000000))) 1)
(*.f64 x -6450306886639899/50000000000000000)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 -6450306886639899/50000000000000000 x)
(.f64 (.f64 x -6450306886639899/50000000000000000) 1)
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(.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (.f64 x -6450306886639899/50000000000000000))))
(.f64 (.f64 (sqrt.f64 x) 6450306886639899/50000000000000000) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) (sqrt.f64 (sqrt.f64 (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 x -6450306886639899/50000000000000000))
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(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (sqrt.f64 x) 6450306886639899/50000000000000000))) (sqrt.f64 (cbrt.f64 -6450306886639899/50000000000000000))) (.f64 (cbrt.f64 (.f64 x (*.f64 (sqrt.f64 x) 6450306886639899/50000000000000000))) (sqrt.f64 (cbrt.f64 -6450306886639899/50000000000000000))))
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(.f64 (pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) 1/4) (pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 3/2) (pow.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000)) 3/2))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (*.f64 x -6450306886639899/50000000000000000))
(.f64 (sqrt.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 (.f64 x -6450306886639899/50000000000000000)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 x -6450306886639899/50000000000000000))))
(.f64 (sqrt.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 (cbrt.f64 41606458931834106848498498730201/2500000000000000000000000000000000) x))) (sqrt.f64 (cbrt.f64 -6450306886639899/50000000000000000)))
(.f64 (sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
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(sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))
(fabs.f64 (*.f64 x -6450306886639899/50000000000000000))
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(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (*.f64 x x)))) 1))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)))))
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Outputs
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000) x)
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
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(expm1.f64 (log1p.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))))
(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
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(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
(log1p.f64 (expm1.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))))
(.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) -1)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 1)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 1))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))))
(pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 1)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 2)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(pow.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3) 1/3)
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(sqrt.f64 (.f64 x (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 3))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(fabs.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log.f64 (pow.f64 (exp.f64 (*.f64 x -6450306886639899/50000000000000000)) x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(cbrt.f64 (.f64 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3)))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(exp.f64 (log.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))))) -1)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))))) 1)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))) 1))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000))) (log1p.f64 (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (exp.f64 (.f64 2 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))
(pow.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 1)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 2)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))) 3)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3) 1/3)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 4))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(fabs.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))))
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(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log.f64 (pow.f64 (exp.f64 x) (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
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(cbrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
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(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3)))
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(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(cbrt.f64 (.f64 (pow.f64 x 6) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
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(cbrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 3) (pow.f64 x 3)))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(exp.f64 (log.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

eval755.0ms (8.6%)

Compiler: Compiled 17634 to 13337 computations (24.4% saved)

prune178.0ms (2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	852	5	857
Fresh	0	0	0
Picked	1	0	1
Done	5	8	13
Total	858	13	871

Error

Counts

871 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	46.2b	(/.f64 x (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))
	16.9b	(/.f64 x 250000000000000/238732414637843)
	61.9b	(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
✓	60.2b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.2b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
✓	46.1b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	0.2b	(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
	46.1b	(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
	60.8b	(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
✓	46.1b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	46.1b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 100 to 69 computations (31% saved)

regimes38.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 x (.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (.f64 x (cbrt.f64 (pow.f64 (*.f64 x -6450306886639899/50000000000000000) 3))))
(.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000) (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (.f64 x -238732414637843/250000000000000) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (+.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))

Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))

Calls

2 calls:

16.0ms	x
14.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 296 to 191 computations (35.5% saved)

regimes30.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(/.f64 (.f64 56993165798814994692847692649/62500000000000000000000000000 x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 x (.f64 x (cbrt.f64 (.f64 (.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 x x)) x) -6450306886639899/50000000000000000))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000))) x) (+.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

Outputs
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))

Calls

2 calls:

12.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
12.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 208 to 128 computations (38.5% saved)

regimes10.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)

Outputs
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 63 to 37 computations (41.3% saved)

regimes20.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(/.f64 x (/.f64 -50000000000000000/6450306886639899 (*.f64 x x)))

Outputs
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))
(*.f64 x 238732414637843/250000000000000)
(.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 54 to 32 computations (40.7% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.17629152616732957	1464077889187204.8
13.0ms	-49.06158635727044	-1.8415758535651776

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))

Outputs
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x 238732414637843/250000000000000)
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.17629152616732957	1464077889187204.8
15.0ms	-49.06158635727044	-1.8415758535651776

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

regimes12.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

Outputs
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x 238732414637843/250000000000000)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.17629152616732957	1464077889187204.8
12.0ms	-49.06158635727044	-1.8415758535651776

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

regimes4.0ms (0%)

Accuracy

Total -45.4b remaining (-273.2%)

Threshold costs -45.4b (-273.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 56993165798814994692847692649/8062883608299873750000000000 x)
(/.f64 x 250000000000000/238732414637843)

Outputs
(*.f64 x 238732414637843/250000000000000)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.6b	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
4×	`+-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	249
1	55	249

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
(if (<=.f64 x -11/4) (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000)) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))))
(if (<=.f64 x -11/4) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -11/4) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(*.f64 x 238732414637843/250000000000000)

Outputs
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)))
(.f64 (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)) x)
(.f64 x (+.f64 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (*.f64 x x))))
(if (<=.f64 x -11/4) (.f64 (.f64 x x) (.f64 x -6450306886639899/50000000000000000)) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 (.f64 x x) (*.f64 x -6450306886639899/50000000000000000))))
(if (or (<=.f64 x -11/4) (not (<=.f64 x 3039929748475085/1125899906842624))) (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 238732414637843/250000000000000 x))
(if (<=.f64 x -11/4) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -11/4) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 238732414637843/250000000000000 x) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -11/4) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3039929748475085/1125899906842624) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (or (<=.f64 x -11/4) (not (<=.f64 x 3039929748475085/1125899906842624))) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (.f64 238732414637843/250000000000000 x))
(*.f64 x 238732414637843/250000000000000)
(*.f64 238732414637843/250000000000000 x)

Compiler

Compiled 101 to 70 computations (30.7% saved)

soundness369.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-neg`
1342×	`fma-def`
886×	`distribute-lft-neg-in`
840×	`distribute-lft-in`
704×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	24	21
2	54	21
3	125	21
4	212	21
5	352	21
6	735	21
7	1452	21
8	2360	21
9	5036	21
10	6260	21
11	6920	21
12	7165	21
13	7477	21

Stop Event

1×	node limit

Compiler

Compiled 62 to 36 computations (41.9% saved)

end58.0ms (0.7%)

Compiler: Compiled 95 to 60 computations (36.8% saved)