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)

sample763.0ms (11.2%)

Results

752.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess111.0ms (1.6%)

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)

simplify117.0ms (1.7%)

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
▶	0.1b	(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	0.1b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	0.1b	(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
▶	0.1b	(.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 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
✓	0.1b	(*.f64 x -6450306886639899/50000000000000000)

New

Error

Program

✓

0.1b

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

✓

0.1b

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

✓

0.1b

(*.f64 x -6450306886639899/50000000000000000)

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

rewrite151.0ms (2.2%)

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

Inputs

(*.f64 x -6450306886639899/50000000000000000)

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

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

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 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 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))) (#(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 (.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 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 (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 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -6450306886639899/50000000000000000))))) (#(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 (*.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 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)))))))

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-/r*`
1310×	`unswap-sqr`
866×	`distribute-lft-in`
836×	`distribute-rgt-in`
686×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1339
1	283	1321
2	1321	1277
3	6514	1277

Stop Event

1×	node limit

Counts

87 → 76

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite97.0ms (1.4%)

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)))))))

simplify62.0ms (0.9%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 14 computations (57.6% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`add-sqr-sqrt`
1526×	`*-un-lft-identity`
1436×	`add-cube-cbrt`
1424×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	184	27
2	2051	27

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

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

Outputs

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

((#(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 (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 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 1 (*.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 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 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 238732414637843/250000000000000) x))))) (#(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 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)))))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1690×	`distribute-lft-in`
1686×	`distribute-rgt-in`
1554×	`associate-+l+`
1550×	`associate-+r+`
694×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	717
1	203	651
2	801	579
3	2540	579

Stop Event

1×	node limit

Counts

61 → 44

Calls

Call 1

Inputs
(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 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 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (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 (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))
(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 1 (*.f64 x 238732414637843/250000000000000)) 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 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(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)))
(exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))

Outputs
(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 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.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 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(pow.f64 (*.f64 x (cbrt.f64 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 (*.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000))
(log.f64 (pow.f64 (exp.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)
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(pow.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(sqrt.f64 (.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000)))
(fabs.f64 (*.f64 x 238732414637843/250000000000000))
(log.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(cbrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 3))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 x 238732414637843/250000000000000)
(log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))
(+.f64 1 (-.f64 (*.f64 x 238732414637843/250000000000000) 1))
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 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))
✓	0.1b	(*.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	@	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	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

rewrite125.0ms (1.8%)

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))))))))

simplify103.0ms (1.5%)

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))

eval100.0ms (1.5%)

Compiler: Compiled 2777 to 1968 computations (29.1% saved)

prune39.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	215	10	225
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	218	11	229

Error

Counts

229 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
✓	0.1b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
▶	7.4b	(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))
	3.7b	(.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)))
▶	3.6b	(.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)))
	0.1b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
▶	49.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
	49.3b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
▶	13.0b	(*.f64 x 238732414637843/250000000000000)
	49.3b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

Compiler

Compiled 244 to 170 computations (30.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 238732414637843/250000000000000 x)
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.1b	(.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	@	0	(.f64 x (.f64 x -6450306886639899/50000000000000000))
0.0ms	x	@	inf	(.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)

rewrite121.0ms (1.8%)

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)))))))

simplify81.0ms (1.2%)

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)

rewrite69.0ms (1%)

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)))))))

simplify68.0ms (1%)

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)
✓	0.1b	(.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)))

rewrite73.0ms (1.1%)

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)))))))

simplify61.0ms (0.9%)

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))

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	3.7b	(/.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)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite132.0ms (1.9%)

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)))

(*.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)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 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 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (neg.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (*.f64 1 (neg.f64 (/.f64 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simplify166.0ms (2.4%)

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
(+.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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
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(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
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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)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 2))
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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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(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
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(.f64 -6450306886639899/50000000000000000 (.f64 x x))
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(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) -56993165798814994692847692649/62500000000000000000000000000)) (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 x (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 4) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) (.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (+.f64 (.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 4) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (fma.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000 56993165798814994692847692649/62500000000000000000000000000)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 4) -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) -238732414637843/250000000000000)) (/.f64 x (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) 56993165798814994692847692649/62500000000000000000000000000)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 6) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)) (.f64 (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 4)))))
(/.f64 (/.f64 (.f64 x (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 6) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)) (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 -238732414637843/250000000000000)) (+.f64 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 4) (*.f64 (pow.f64 x 4) 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 6) -185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) -238732414637843/250000000000000)) (/.f64 x (+.f64 (pow.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 4) (fma.f64 (pow.f64 x 4) 2371283812203608275065352481777961351963433289154219221992449/156250000000000000000000000000000000000000000000000000000000000 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))))
(/.f64 (.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (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)))
(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (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)))
(/.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)))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))
✓	0.1b	(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
✓	0.6b	(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
✓	24.1b	(sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
0.0ms	x	@	0	(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))
0.0ms	x	@	inf	(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))
0.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
0.0ms	x	@	inf	(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`*-commutative`
920×	`sqrt-prod`
784×	`unswap-sqr`
650×	`swap-sqr`
416×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	241	48
2	2760	48

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))
(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
(.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))
(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))

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 (.f64 x 6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 6450306886639899/50000000000000000) (pow.f64 1 1/2))))) (#(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 6450306886639899/50000000000000000 x)))) (#(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 (sqrt.f64 x) (.f64 6450306886639899/50000000000000000 (sqrt.f64 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 (.f64 x 6450306886639899/50000000000000000) (cbrt.f64 (.f64 x 6450306886639899/50000000000000000)))))))) (#(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 (cbrt.f64 (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)) (sqrt.f64 (.f64 x (cbrt.f64 (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (sqrt.f64 (.f64 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simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
1242×	`associate-/l*`
740×	`associate-r`
714×	`associate-/r*`
602×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	2984
1	791	2848
2	3237	2766

Stop Event

1×	node limit

Counts

164 → 169

Calls

Call 1

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

eval365.0ms (5.4%)

Compiler: Compiled 11671 to 8255 computations (29.3% saved)

prune113.0ms (1.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	550	5	555
Fresh	2	3	5
Picked	1	0	1
Done	0	5	5
Total	553	13	566

Error

Counts

566 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
	60.0b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.1b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
▶	0.1b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
▶	3.7b	(.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)))
✓	3.6b	(.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)))
▶	0.1b	(.f64 x (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
✓	49.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
▶	55.6b	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
▶	49.3b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	13.0b	(*.f64 x 238732414637843/250000000000000)
	49.3b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

Compiler

Compiled 236 to 165 computations (30.1% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`add-sqr-sqrt`
1282×	`*-un-lft-identity`
1198×	`add-cube-cbrt`
1182×	`add-cbrt-cube`
1170×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	144	13
2	1732	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1138×	`log-prod`
832×	`distribute-rgt-in`
808×	`distribute-lft-in`
804×	`associate-+r+`
774×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	299
1	84	299
2	314	299
3	1971	299
4	7686	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 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -6450306886639899/50000000000000000))) 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))))

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (1.1%)

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	1729	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (#(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))))))))

((#(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 -6450306886639899/50000000000000000 x)) 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))))))))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-+r+`
1470×	`associate-+l+`
1416×	`associate-r`
1250×	`associate-l`
412×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	151	598
2	607	598
3	3700	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 -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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(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))))
(-.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 -6450306886639899/50000000000000000 x)) 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))))

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 -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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(.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))
(-.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 -6450306886639899/50000000000000000 x)) 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))

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1824×	`add-cube-cbrt`
1806×	`add-cbrt-cube`
186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	197	36
2	2413	36

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

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

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

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

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1490×	`associate-+r+`
1324×	`associate-+l+`
1322×	`associate-/l*`
838×	`unswap-sqr`
540×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1956
1	311	1742
2	1220	1686
3	4478	1686

Stop Event

1×	node limit

Counts

78 → 81

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

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
✓	0.2b	(.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
	0.6b	(*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)
	24.1b	(sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
0.0ms	x	@	0	(.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))
0.0ms	x	@	inf	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
0.0ms	x	@	0	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
0.0ms	x	@	-inf	(.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))

rewrite122.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`add-sqr-sqrt`
1808×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1656×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	201	32
2	2365	32

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs

(*.f64 x (sqrt.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))))

(*.f64 x (*.f64 x (sqrt.f64 (*.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))

Outputs

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1152×	`fma-def`
1076×	`distribute-lft-out`
838×	`log-prod`
702×	`unswap-sqr`
420×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	650
1	154	650
2	636	650
3	2805	650
4	6030	650

Stop Event

1×	node limit

Counts

50 → 35

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

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

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.1b	(.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)))
✓	0.3b	(.f64 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)
✓	3.7b	(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)) -56993165798814994692847692649/62500000000000000000000000000) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))

Compiler

Compiled 76 to 43 computations (43.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite254.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`associate-*r/`
886×	`associate-*l/`
818×	`associate-/r*`
606×	`associate-/l*`
504×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	113
1	336	97
2	4111	97

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs

(/.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 x x) 41606458931834106848498498730201/2500000000000000000000000000000000)

(*.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)))

Outputs

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(*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 1)) (*.f64 (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)) -56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -56993165798814994692847692649/62500000000000000000000000000 (*.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 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simplify228.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-/l*`
636×	`associate-/l/`
574×	`times-frac`
558×	`associate-l`
546×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	10427
1	1324	10343
2	6367	10343

Stop Event

1×	node limit

Counts

235 → 281

Calls

Call 1

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

eval365.0ms (5.4%)

Compiler: Compiled 11456 to 8541 computations (25.4% saved)

prune132.0ms (1.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	600	1	601
Fresh	0	3	3
Picked	0	1	1
Done	0	9	9
Total	600	14	614

Error

Counts

614 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
▶	60.0b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.1b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
✓	0.1b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
✓	3.7b	(.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)))
✓	3.6b	(.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)))
✓	0.1b	(.f64 x (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
✓	49.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	55.6b	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
▶	60.6b	(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))
✓	49.3b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	13.0b	(*.f64 x 238732414637843/250000000000000)
▶	49.3b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

Compiler

Compiled 156 to 108 computations (30.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1597	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 (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))))))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1088×	`distribute-rgt-out`
1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
892×	`log-prod`
638×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	99	209
2	322	143
3	1696	143
4	6831	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.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))))

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`add-sqr-sqrt`
1274×	`*-un-lft-identity`
1188×	`add-cube-cbrt`
1174×	`add-cbrt-cube`
1162×	`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 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))

Outputs

((#(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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (#(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))))))))

((#(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 6450306886639899/50000000000000000 x)) 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))))))))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-+r+`
1470×	`associate-+l+`
1416×	`associate-r`
1250×	`associate-l`
412×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	151	598
2	607	598
3	3699	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 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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(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))))
(-.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 6450306886639899/50000000000000000 x)) 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))))

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 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 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))
(.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))
(-.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 6450306886639899/50000000000000000 x)) 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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x 238732414637843/250000000000000)
✓	5.4b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (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)

rewrite69.0ms (1%)

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)))))

simplify71.0ms (1%)

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)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.3b	(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
✓	0.3b	(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))

Compiler

Compiled 44 to 31 computations (29.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`*-commutative`
734×	`associate-*r/`
694×	`unswap-sqr`
592×	`associate-/r*`
552×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	249	48
2	2665	48

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

Inputs

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 x (fma.f64 x 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simplify160.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1614×	`distribute-rgt-in`
1608×	`distribute-lft-in`
998×	`associate-/r/`
682×	`associate-/l/`
476×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	5022
1	863	4738
2	3243	4728

Stop Event

1×	node limit

Counts

156 → 196

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 250000000000000/238732414637843 x)
(+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 x) (.f64 250000000000000/238732414637843 (/.f64 1 x)))
(+.f64 (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 3)) (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 x) (*.f64 250000000000000/238732414637843 (/.f64 1 x))))
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(.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(.f64 (/.f64 1 (cbrt.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)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(.f64 (/.f64 1 x) (/.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (/.f64 1 x) (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1))
(.f64 -1 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) (/.f64 1 x))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 -1 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2))) (/.f64 -1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (pow.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) -1) (/.f64 1 x))
(.f64 (pow.f64 (sqrt.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))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2) -1) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -1) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 2) -1))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) 1) (pow.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)) 1) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)) -1) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(.f64 (/.f64 (/.f64 1 x) (-.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000)) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 (/.f64 (/.f64 1 x) (+.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000) 56993165798814994692847692649/62500000000000000000000000000) (.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (cbrt.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (pow.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)))) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3/2))
(.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/6))
(pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2) 2)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(exp.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.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))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.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))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(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))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(/.f64 250000000000000/238732414637843 x)
(+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 x) (.f64 250000000000000/238732414637843 (/.f64 1 x)))
(fma.f64 8062883608299873750000000000/56993165798814994692847692649 x (/.f64 250000000000000/238732414637843 x))
(fma.f64 x 8062883608299873750000000000/56993165798814994692847692649 (/.f64 250000000000000/238732414637843 x))
(+.f64 (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 3)) (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 x) (*.f64 250000000000000/238732414637843 (/.f64 1 x))))
(fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 3) (fma.f64 8062883608299873750000000000/56993165798814994692847692649 x (/.f64 250000000000000/238732414637843 x)))
(fma.f64 (pow.f64 x 3) 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (fma.f64 x 8062883608299873750000000000/56993165798814994692847692649 (/.f64 250000000000000/238732414637843 x)))
(+.f64 (.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 3)) (+.f64 (.f64 8062883608299873750000000000/56993165798814994692847692649 x) (+.f64 (.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 5)) (.f64 250000000000000/238732414637843 (/.f64 1 x)))))
(fma.f64 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow.f64 x 3) (fma.f64 8062883608299873750000000000/56993165798814994692847692649 x (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 5) (/.f64 250000000000000/238732414637843 x))))
(fma.f64 (pow.f64 x 3) 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (fma.f64 x 8062883608299873750000000000/56993165798814994692847692649 (fma.f64 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow.f64 x 5) (/.f64 250000000000000/238732414637843 x))))
(/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (/.f64 1 (pow.f64 x 5))) (.f64 50000000000000000/6450306886639899 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 5)) (/.f64 50000000000000000/6450306886639899 (pow.f64 x 3))))
(+.f64 (/.f64 -2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 5)) (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))
(-.f64 (/.f64 -2387324146378430000000000000000000/41606458931834106848498498730201 (pow.f64 x 5)) (/.f64 50000000000000000/6450306886639899 (pow.f64 x 3)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -2)) (.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2)) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) -2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) -1/2))))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3/2))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/6))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(pow.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) -1)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (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)) -1/2) 2)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (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)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 3)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3) 1/3)
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(neg.f64 (/.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (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 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 3))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(exp.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(/.f64 (/.f64 1 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(/.f64 1 (fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))

eval153.0ms (2.3%)

Compiler: Compiled 5453 to 4185 computations (23.3% saved)

prune54.0ms (0.8%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	342	3	345
Fresh	0	0	0
Picked	1	0	1
Done	1	12	13
Total	344	15	359

Error

Counts

359 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	13.4b	(/.f64 1 (/.f64 250000000000000/238732414637843 x))
	0.2b	(/.f64 1 (/.f64 1 (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))))
	49.3b	(/.f64 1 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))
✓	60.0b	(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
✓	0.1b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 x))
✓	0.1b	(+.f64 (.f64 (.f64 x -6450306886639899/50000000000000000) (.f64 x x)) (.f64 x 238732414637843/250000000000000))
✓	3.6b	(.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)))
✓	0.1b	(.f64 x (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
✓	49.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	55.6b	(.f64 x (.f64 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
✓	60.6b	(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))
✓	49.3b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
✓	13.0b	(*.f64 x 238732414637843/250000000000000)
✓	49.3b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

Compiler

Compiled 153 to 109 computations (28.8% saved)

regimes29.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 1 (/.f64 250000000000000/238732414637843 x))
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(+.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 1 (/.f64 1 (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(/.f64 1 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))
(.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 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))
(fma.f64 238732414637843/250000000000000 x (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (fma.f64 x (sqrt.f64 (.f64 x (*.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000))) 238732414637843/250000000000000))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (pow.f64 x 3/2) 2)))
(.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)))

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

Calls

2 calls:

12.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
11.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 239 to 158 computations (33.9% saved)

regimes24.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(/.f64 1 (/.f64 250000000000000/238732414637843 x))
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 (*.f64 x 238732414637843/250000000000000) 1) 1)
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(+.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 1 (/.f64 1 (+.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) x) (.f64 238732414637843/250000000000000 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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(/.f64 1 (/.f64 -50000000000000000/6450306886639899 (pow.f64 x 3)))
(.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 x (sqrt.f64 (.f64 x (.f64 x 41606458931834106848498498730201/2500000000000000000000000000000000)))))
(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))

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

Calls

2 calls:

10.0ms	x
9.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 190 to 125 computations (34.2% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.050608467318289	44549819249.27567
16.0ms	-3.9415777385387534	-3.540589467759464e-8

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes12.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

10.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.050608467318289	44549819249.27567
15.0ms	-3.9415777385387534	-3.540589467759464e-8

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 282 to 201 computations (28.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.4b remaining (-3.3%)

Threshold costs -0.4b (-3.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 238732414637843/250000000000000)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
13.0b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	198
1	48	198

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

Compiler

Compiled 81 to 56 computations (30.9% saved)

soundness406.0ms (6%)

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)

end85.0ms (1.3%)

Compiler: Compiled 76 to 49 computations (35.5% saved)