Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
62.5%	25%	12.5%	5
62.5%	12.5%	25%	6
65.6%	6.2%	28.2%	7
65.6%	3.1%	31.3%	8
66.4%	1.6%	32.1%	9
66.4%	0.8%	32.8%	10
66.6%	0.4%	33%	11
66.6%	0.2%	33.2%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (17.3%)

Results

1.3s	8256×	body	256	valid
1.0ms	9×	body	256	invalid

preprocess198.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

986×	`fma-neg_binary64`
733×	`fma-def_binary64`
474×	`distribute-rgt-neg-in_binary64`
422×	`cancel-sign-sub-inv_binary64`
375×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	133	11
4	226	11
5	389	11
6	768	11
7	1680	11
8	2596	11
9	3798	11
10	4712	11
11	5471	11
12	5702	11
13	6005	11
14	6826	11
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))
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 (.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
733×	`fma-def_binary64`
474×	`distribute-rgt-neg-in_binary64`
422×	`cancel-sign-sub-inv_binary64`
375×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	133	11
4	226	11
5	389	11
6	768	11
7	1680	11
8	2596	11
9	3798	11
10	4712	11
11	5471	11
12	5702	11
13	6005	11
14	6826	11

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 20 to 14 computations (30% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 14 computations (57.6% saved)

series73.0ms (1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
1.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
1.0ms	x	@	-inf	(*.f64 238732414637843/250000000000000 x)
1.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
1.0ms	x	@	inf	(*.f64 238732414637843/250000000000000 x)

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
403×	`fma-def_binary64`
358×	`prod-exp_binary64`
341×	`exp-prod_binary64`
271×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	204	26
2	2609	26

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 238732414637843/250000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 238732414637843/250000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 238732414637843/250000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 238732414637843/250000000000000 x)) 2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 238732414637843/250000000000000 x))) 2)) (cbrt.f64 (log.f64 (.f64 238732414637843/250000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 238732414637843/250000000000000 x)))) (sqrt.f64 (log.f64 (.f64 238732414637843/250000000000000 x))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (.f64 238732414637843/250000000000000 x))))))) (#(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 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 238732414637843/250000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 238732414637843/250000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 238732414637843/250000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 238732414637843/250000000000000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 238732414637843/250000000000000 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 238732414637843/250000000000000 x)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)) 1/2)))) (#(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 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))) (#(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 log1p.f64 (expm1.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 6450306886639899/50000000000000000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 3/2)))) (#(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 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 x))) 2)) (cbrt.f64 (.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 x)))) (sqrt.f64 (.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 x) 1)))))))
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6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))))))))

simplify184.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
549×	`fabs-mul_binary64`
540×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	249
1	24	249
2	56	249
3	121	249
4	228	249
5	578	249
6	748	249
7	1071	249
8	2353	249
9	2454	249
10	2613	249
11	2820	249
12	3129	249
13	3557	249
14	4122	249
15	4802	249
16	5662	249
17	6326	249
18	6885	249
19	7443	249
20	7969	249

Stop Event

1×	node limit

Counts

308 → 279

Calls

Call 1

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

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

eval197.0ms (2.6%)

Compiler: Compiled 5396 to 4114 computations (23.8% saved)

prune48.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	264	15	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	264	16	280

Error

0.0b

Counts

280 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	44.6b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
	0.2b	(+.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
▶	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	33.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	0.8b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
	32.0b	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	17.7b	(*.f64 x 238732414637843/250000000000000)
	33.7b	(/.f64 1 (/.f64 (fma.f64 238732414637843/250000000000000 x (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))
	32.2b	(.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2)) (-.f64 (sqrt.f64 (.f64 238732414637843/250000000000000 x)) (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2)))
▶	42.2b	(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x)) 3))
	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	1.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	33.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (fma.f64 238732414637843/250000000000000 x (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))

Compiler

Compiled 438 to 330 computations (24.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.1b

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

✓

0.1b

(*.f64 x -6450306886639899/50000000000000000)

✓

0.2b

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.1%)

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	142	23
2	1594	23

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

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

(*.f64 x -6450306886639899/50000000000000000)

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

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

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

simplify185.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
530×	`fabs-mul_binary64`
414×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	252
1	34	252
2	61	252
3	125	252
4	358	252
5	1404	252
6	2777	252
7	2963	252
8	3213	252
9	3500	252
10	3879	252
11	4393	252
12	4996	252
13	5702	252
14	6173	252
15	6494	252
16	6762	252
17	6928	252
18	7018	252
19	7695	252

Stop Event

1×	node limit

Counts

81 → 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))
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
(*.f64 -6450306886639899/50000000000000000 x)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.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 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.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 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
(*.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 -6450306886639899/50000000000000000 x)
(*.f64 x -6450306886639899/50000000000000000)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

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)

series1.0ms (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)

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)) (log.f64 (pow.f64 (exp.f64 x) 238732414637843/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/125000000000000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 238732414637843/250000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) (+.f64 1 (*.f64 x 238732414637843/250000000000000))) 1) (+.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 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(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 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(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 (*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 238732414637843/250000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000))) 2))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

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)

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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x x) x)
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
✓	0.2b	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
✓	23.0b	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))

Compiler

Compiled 44 to 18 computations (59.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
0.0ms	x	@	inf	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
0.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
0.0ms	x	@	-inf	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	124	11
2	1397	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))
(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2))))) (#(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 (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 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 56993165798814994692847692649/62500000000000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 238732414637843/250000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 56993165798814994692847692649/62500000000000000000000000000 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 238732414637843/250000000000000))))) (#(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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))))))

simplify181.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
582×	`associate-l_binary64`
565×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	18	132
2	29	132
3	58	132
4	138	132
5	442	132
6	1604	132
7	2497	132
8	2661	132
9	2874	132
10	3094	132
11	3397	132
12	3799	132
13	4292	132
14	4860	132
15	5550	132
16	6383	132
17	6773	132
18	7057	132
19	7333	132
20	7409	132
21	7443	132

Stop Event

1×	node limit

Counts

62 → 42

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 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))

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 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 -238732414637843/250000000000000 x)
(*.f64 x -238732414637843/250000000000000)
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))
(*.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 x 2))
(.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 x x))
(.f64 x (.f64 x 56993165798814994692847692649/62500000000000000000000000000))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.6b	(cbrt.f64 (*.f64 238732414637843/250000000000000 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)

Compiler

Compiled 47 to 26 computations (44.7% saved)

series8.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 238732414637843/250000000000000 x))
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
1.0ms	x	@	inf	(cbrt.f64 (*.f64 238732414637843/250000000000000 x))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1398	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 238732414637843/250000000000000 x)) 3)
(cbrt.f64 (*.f64 238732414637843/250000000000000 x))

Outputs

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.3b	(pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x)) 3)
✓	41.4b	(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x)) 3))

Compiler

Compiled 40 to 31 computations (22.5% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
731×	`add-log-exp_binary64`
731×	`log1p-expm1-u_binary64`
731×	`expm1-log1p-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	215	36
2	2044	36

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 (pow.f64 x 3) -6450306886639899/50000000000000000) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 2) 1/3) (cbrt.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 x 238732414637843/250000000000000)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) (pow.f64 (*.f64 x 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simplify168.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

832×	`unswap-sqr_binary64`
660×	`sqr-pow_binary64`
578×	`fma-def_binary64`
504×	`cube-prod_binary64`
472×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	444
1	72	444
2	166	444
3	440	444
4	850	444
5	1967	444
6	2813	444
7	4076	444
8	4295	444
9	4617	444
10	5029	444
11	5659	444
12	6541	444
13	7207	444
14	7771	444

Stop Event

1×	node limit

Counts

107 → 64

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 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (*.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))
(+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))
(+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.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))

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 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.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 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3) (*.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)))
(fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (*.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7))))
(fma.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7))))
(fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))
(+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))
(+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))
(+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))))
(+.f64 (.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5)) (+.f64 (.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7)) (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (fma.f64 29798431215981019079801523275410942082344789329/625000000000000000000000000000000000000000000000 (pow.f64 x 7) (fma.f64 -1102870229530517762126474529396044480077207353/3125000000000000000000000000000000000000000000 (pow.f64 x 5) (*.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.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 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.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)))

eval149.0ms (2%)

Compiler: Compiled 5822 to 4167 computations (28.4% saved)

prune88.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	6	4	10
Picked	1	0	1
Done	3	2	5
Total	391	9	400

Error

Counts

400 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
▶	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	44.6b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
▶	44.6b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
	0.2b	(+.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
✓	17.7b	(*.f64 x 238732414637843/250000000000000)
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	6.3b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))

Compiler

Compiled 194 to 143 computations (26.3% saved)

localize12.0ms (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 -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	180	26
2	2320	26

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify189.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
534×	`fabs-mul_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	288
1	32	288
2	61	288
3	134	288
4	336	288
5	1367	288
6	2740	288
7	2926	288
8	3177	288
9	3464	288
10	3843	288
11	4355	288
12	4958	288
13	5670	288
14	6139	288
15	6460	288
16	6732	288
17	6902	288
18	6994	288
19	7671	288

Stop Event

1×	node limit

Counts

104 → 77

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (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)))

rewrite202.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1416	7

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 (pow.f64 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 3) 1/3)))) (#(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 (*.f64 x (sqrt.f64 (*.f64 x -6450306886639899/50000000000000000))) 2)))) (#(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 log1p.f64 (expm1.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)))))))

simplify172.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

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))

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))

localize60.0ms (0.8%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.2b

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

✓

0.2b

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	179	30
2	2233	30

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify253.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
487×	`associate-l_binary64`
465×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	288
1	35	288
2	68	288
3	152	288
4	424	288
5	1615	288
6	3009	288
7	3195	288
8	3445	288
9	3732	288
10	4111	288
11	4623	288
12	5226	288
13	5932	288
14	6405	288
15	6726	288
16	6998	288
17	7168	288
18	7262	288
19	7939	288

Stop Event

1×	node limit

Counts

94 → 70

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))

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 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 x -6450306886639899/50000000000000000))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

localize61.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
✓	0.2b	(.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	6.3b	(/.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)

series32.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	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)))
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))
1.0ms	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))
1.0ms	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)))
1.0ms	x	@	inf	(.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (*.f64 x -6450306886639899/50000000000000000)))

rewrite399.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
365×	`fma-def_binary64`
320×	`prod-diff_binary64`
269×	`fma-neg_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	283	29
2	3908	29

Stop Event

1×	node limit

Counts

3 → 251

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 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000)))) (sqrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))) (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000)) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 2) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) -238732414637843/250000000000000) (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000 -56993165798814994692847692649/62500000000000000000000000000))) -1)))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 3) (pow.f64 x 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 log1p.f64 (expm1.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))))))

simplify229.0ms (3%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
635×	`cube-prod_binary64`
593×	`pow-sqr_binary64`
541×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	288
1	39	288
2	75	288
3	179	288
4	601	288
5	1059	288
6	2414	288
7	2533	288
8	2707	288
9	2922	288
10	3205	288
11	3579	288
12	4025	288
13	4576	288
14	5260	288
15	5721	288
16	6032	288
17	6304	288
18	6510	288
19	6704	288
20	7487	288

Stop Event

1×	node limit

Counts

287 → 262

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))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.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))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.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 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 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 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 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 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 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 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 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 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 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 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 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 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 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 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 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 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
499×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1325	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify159.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

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))

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))

eval406.0ms (5.4%)

Compiler: Compiled 16288 to 11633 computations (28.6% saved)

prune89.0ms (1.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	510	1	511
Fresh	1	1	2
Picked	0	1	1
Done	0	6	6
Total	511	9	520

Error

Counts

520 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	44.6b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	44.6b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
▶	0.7b	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
✓	17.7b	(*.f64 x 238732414637843/250000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	6.3b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))

Compiler

Compiled 96 to 69 computations (28.1% saved)

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.7b	(cbrt.f64 x)
✓	0.8b	(pow.f64 (cbrt.f64 x) 9)

Compiler

Compiled 30 to 20 computations (33.3% saved)

series17.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9))
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 9)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 9)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 9)
1.0ms	x	@	0	(*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9))

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`pow1_binary64`
542×	`add-log-exp_binary64`
542×	`log1p-expm1-u_binary64`
542×	`expm1-log1p-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	146	14
2	1584	14

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 9)
(cbrt.f64 x)
(*.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) 9) (pow.f64 (pow.f64 x 1/6) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 18))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3)))))))

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

((#(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 (pow.f64 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 3) 1/3)))) (#(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 (*.f64 (sqrt.f64 6450306886639899/50000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (cbrt.f64 x) 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(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 log1p.f64 (expm1.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)))))))

simplify180.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

934×	`unswap-sqr_binary64`
749×	`sqr-pow_binary64`
641×	`cube-prod_binary64`
528×	`*-commutative_binary64`
462×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	30	116
2	87	116
3	283	116
4	1195	116
5	1819	116
6	3198	116
7	3286	116
8	3427	116
9	3585	116
10	3755	116
11	3984	116
12	4279	116
13	4631	116
14	5054	116
15	5582	116
16	6267	116
17	6575	116
18	6939	116
19	7269	116
20	7641	116
21	7959	116

Stop Event

1×	node limit

Counts

58 → 49

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 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (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 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 9)))
(.f64 (pow.f64 x 3) (.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 -1) 9)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 9)))
(.f64 (pow.f64 x 3) (.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 -1) 9)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 9)))
(.f64 (pow.f64 x 3) (.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 -1) 9)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 (cbrt.f64 -1) 9) (pow.f64 x 3)))
(.f64 -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 9)))
(.f64 (pow.f64 x 3) (.f64 -6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 -1) 9)))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
1.0ms	x	@	inf	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.0ms	x	@	-inf	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
0.0ms	x	@	inf	(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))

rewrite244.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
819×	`add-log-exp_binary64`
819×	`log1p-expm1-u_binary64`
819×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	22
2	2267	22

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

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

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64`
661×	`associate-/r*_binary64`
601×	`distribute-neg-frac_binary64`
496×	`fma-def_binary64`
439×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	345
1	129	331
2	360	329
3	1242	327
4	5660	327

Stop Event

1×	node limit

Counts

80 → 75

Calls

Call 1

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

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

eval63.0ms (0.8%)

Compiler: Compiled 2587 to 1931 computations (25.4% saved)

prune66.0ms (0.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	0	0	0
Picked	1	0	1
Done	2	6	8
Total	189	9	198

Error

Counts

198 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	44.6b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
	44.6b	(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
✓	44.6b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	17.7b	(*.f64 x 238732414637843/250000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
	18.0b	(/.f64 x 250000000000000/238732414637843)
	44.6b	(/.f64 x (/.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000))))

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes102.0ms (1.3%)

Counts

23 → 1

Calls

Call 1

Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(/.f64 x (/.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (cbrt.f64 x) 9)))
(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 238732414637843/250000000000000 x)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (fma.f64 238732414637843/250000000000000 x (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 238732414637843/250000000000000 x (.f64 6450306886639899/50000000000000000 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 238732414637843/250000000000000 x)) 3))
(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (.f64 238732414637843/250000000000000 x) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))))
(.f64 (fma.f64 (sqrt.f64 238732414637843/250000000000000) (sqrt.f64 x) (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2)) (-.f64 (sqrt.f64 (.f64 238732414637843/250000000000000 x)) (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 3/2)))

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

Calls

2 calls:

63.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
11.0ms	x

Results

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

Compiler

Compiled 292 to 197 computations (32.5% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 x 250000000000000/238732414637843)
(*.f64 x 238732414637843/250000000000000)
(/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(/.f64 x (/.f64 1 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000))) 56993165798814994692847692649/62500000000000000000000000000) (-.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000)))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)

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

Calls

2 calls:

6.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
6.0ms	x

Results

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

Compiler

Compiled 101 to 66 computations (34.7% saved)

regimes15.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.2847777077475873e-8	1511.9668374146165
18.0ms	-13.248795400824125	-7.478728095862077e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes17.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch178.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.2847777077475873e-8	1511.9668374146165
161.0ms	-13.248795400824125	-7.478728095862077e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.4b remaining (-2.3%)

Threshold costs -0.4b (-2.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 238732414637843/250000000000000)

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
17.7b	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	104
1	34	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
(if (<=.f64 x -3729204376891217/281474976710656) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 1726329226859991/75557863725914323419136) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -3729204376891217/281474976710656) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 1726329226859991/75557863725914323419136) (*.f64 x 238732414637843/250000000000000) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)

Outputs
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(.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 -3729204376891217/281474976710656) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 1726329226859991/75557863725914323419136) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -3729204376891217/281474976710656) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x)) (if (<=.f64 x 1726329226859991/75557863725914323419136) (*.f64 x 238732414637843/250000000000000) (/.f64 x (/.f64 (/.f64 -50000000000000000/6450306886639899 x) x))))
(*.f64 x 238732414637843/250000000000000)
(/.f64 x 250000000000000/238732414637843)

Compiler

Compiled 79 to 53 computations (32.9% saved)

soundness191.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
549×	`fabs-mul_binary64`
540×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	249
1	24	249
2	56	249
3	121	249
4	228	249
5	578	249
6	748	249
7	1071	249
8	2353	249
9	2454	249
10	2613	249
11	2820	249
12	3129	249
13	3557	249
14	4122	249
15	4802	249
16	5662	249
17	6326	249
18	6885	249
19	7443	249
20	7969	249

Stop Event

1×	node limit

Compiler

Compiled 82 to 57 computations (30.5% saved)

end79.0ms (1%)

Compiler: Compiled 74 to 48 computations (35.1% saved)

Details

analyze6.0ms (0.1%)

sample1.3s (17.3%)

preprocess198.0ms (2.6%)

simplify128.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize23.0ms (0.3%)

series73.0ms (1%)

rewrite134.0ms (1.8%)

simplify184.0ms (2.4%)

eval197.0ms (2.6%)

prune48.0ms (0.6%)

localize10.0ms (0.1%)

series5.0ms (0.1%)

rewrite97.0ms (1.3%)

simplify185.0ms (2.4%)

localize3.0ms (0%)

series1.0ms (0%)

rewrite57.0ms (0.8%)

simplify7.0ms (0.1%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite92.0ms (1.2%)

simplify181.0ms (2.4%)

localize20.0ms (0.3%)

series8.0ms (0.1%)

rewrite67.0ms (0.9%)

simplify6.0ms (0.1%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

rewrite99.0ms (1.3%)

simplify168.0ms (2.2%)

eval149.0ms (2%)

prune88.0ms (1.2%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite80.0ms (1.1%)

simplify189.0ms (2.5%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite202.0ms (2.7%)

simplify172.0ms (2.3%)

localize60.0ms (0.8%)

series5.0ms (0.1%)

rewrite109.0ms (1.4%)

simplify253.0ms (3.3%)

localize61.0ms (0.8%)

series32.0ms (0.4%)

rewrite399.0ms (5.3%)

simplify229.0ms (3%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite67.0ms (0.9%)

simplify159.0ms (2.1%)

eval406.0ms (5.4%)

prune89.0ms (1.2%)

localize54.0ms (0.7%)

series17.0ms (0.2%)

rewrite90.0ms (1.2%)

simplify180.0ms (2.4%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite244.0ms (3.2%)

simplify58.0ms (0.8%)

eval63.0ms (0.8%)

prune66.0ms (0.9%)

regimes102.0ms (1.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch35.0ms (0.5%)

regimes17.0ms (0.2%)

bsearch178.0ms (2.4%)

regimes11.0ms (0.1%)

simplify6.0ms (0.1%)

soundness191.0ms (2.5%)

end79.0ms (1%)

Profiling