Details

analyze13.0ms (0.2%)

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)

sample960.0ms (15.6%)

Results

943.0ms	8256×	body	256	valid
1.0ms	8×	body	256	invalid

preprocess90.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

986×	`fma-neg_binary64`
960×	`fma-def_binary64`
431×	`distribute-rgt-neg-in_binary64`
395×	`cancel-sign-sub-inv_binary64`
322×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	135	11
4	228	11
5	392	11
6	762	11
7	1595	11
8	2514	11
9	3707	11
10	4623	11
11	5379	11
12	5612	11
13	5906	11
14	6727	11
15	7855	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)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
960×	`fma-def_binary64`
431×	`distribute-rgt-neg-in_binary64`
395×	`cancel-sign-sub-inv_binary64`
322×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	135	11
4	228	11
5	392	11
6	762	11
7	1595	11
8	2514	11
9	3707	11
10	4623	11
11	5379	11
12	5612	11
13	5906	11
14	6727	11
15	7855	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)

prune1.0ms (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)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 33 to 14 computations (57.6% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite150.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	204	26
2	2604	26

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

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

simplify178.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

909×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
670×	`sqr-pow_binary64`
555×	`fabs-mul_binary64`
541×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	249
1	24	249
2	56	249
3	115	249
4	214	249
5	536	249
6	704	249
7	1027	249
8	2309	249
9	2410	249
10	2572	249
11	2781	249
12	3084	249
13	3512	249
14	4069	249
15	4721	249
16	5562	249
17	6224	249
18	6785	249
19	7349	249
20	7887	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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.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))

eval190.0ms (3.1%)

Compiler: Compiled 5396 to 4110 computations (23.8% saved)

prune81.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	268	11	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	268	12	280

Error

0.0b

Counts

280 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	43.2b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
	32.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	1.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	28.7b	(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	1.1b	(fma.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	0.2b	(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
	0.3b	(fma.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x))) (fma.f64 (neg.f64 x) (.f64 6450306886639899/50000000000000000 (.f64 x x)) (*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))))
▶	19.8b	(*.f64 238732414637843/250000000000000 x)
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	33.6b	(-.f64 (.f64 238732414637843/250000000000000 x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2))
	30.0b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (fma.f64 6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)))

Compiler

Compiled 304 to 218 computations (28.3% saved)

localize31.0ms (0.5%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite59.0ms (1%)

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	2228	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
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (pow.f64 (cbrt.f64 (+.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) 2))))) (#(struct:change 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Outputs

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

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

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

simplify164.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

969×	`sqr-pow_binary64`
563×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
531×	`fabs-mul_binary64`
478×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	288
1	35	288
2	68	288
3	152	288
4	389	288
5	1496	288
6	2897	288
7	3083	288
8	3334	288
9	3621	288
10	4000	288
11	4504	288
12	5118	288
13	5824	288
14	6293	288
15	6616	288
16	6886	288
17	7052	288
18	7142	288
19	7819	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 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 x) x)
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 6450306886639899/50000000000000000 (.f64 x x))
(.f64 (.f64 6450306886639899/50000000000000000 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)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

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

0 → 0

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series95.0ms (1.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
91.0ms	x	@	-inf	(*.f64 x -6450306886639899/50000000000000000)
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	@	inf	(fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)

rewrite63.0ms (1%)

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	1595	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 log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))))))

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

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

simplify156.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

969×	`sqr-pow_binary64`
566×	`pow-sqr_binary64`
563×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
532×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	252
1	34	252
2	61	252
3	126	252
4	323	252
5	1281	252
6	2642	252
7	2828	252
8	3078	252
9	3365	252
10	3744	252
11	4246	252
12	4860	252
13	5566	252
14	6037	252
15	6354	252
16	6626	252
17	6794	252
18	6886	252
19	7563	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 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(.f64 x (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 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)

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
	0.1b	(.f64 (.f64 x x) x)
	0.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.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))
✓	0.2b	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
✓	28.7b	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
3.0ms	x	@	-inf	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
1.0ms	x	@	inf	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`pow1_binary64`
548×	`add-log-exp_binary64`
548×	`log1p-expm1-u_binary64`
548×	`expm1-log1p-u_binary64`
535×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1531	13

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))

(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 2) (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) (sqrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))))

simplify155.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`sqr-pow_binary64`
715×	`pow-sqr_binary64`
530×	`cube-prod_binary64`
472×	`fabs-mul_binary64`
448×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	164
1	28	164
2	58	164
3	91	164
4	150	164
5	377	164
6	1245	164
7	1938	164
8	2057	164
9	2450	164
10	2608	164
11	2838	164
12	3160	164
13	3581	164
14	4081	164
15	4674	164
16	5394	164
17	5713	164
18	5999	164
19	6225	164
20	6405	164
21	6487	164
22	7427	164

Stop Event

1×	node limit

Counts

57 → 36

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))

Outputs
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(*.f64 (cbrt.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x)
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(.f64 -1 (.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (pow.f64 x 3))

localize22.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
	0.1b	(*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))
	0.1b	(*.f64 238732414637843/250000000000000 x)
	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2))
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.1b	(*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))
✓	0.2b	(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)

Compiler

Compiled 40 to 33 computations (17.5% saved)

series29.0ms (0.5%)

Counts

3 → 1

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(-.f64 (.f64 238732414637843/250000000000000 x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2))
4.0ms	x	@	0	(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
1.0ms	x	@	-inf	(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)
1.0ms	x	@	-inf	(-.f64 (.f64 238732414637843/250000000000000 x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2))

rewrite170.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`prod-diff_binary64`
509×	`log-prod_binary64`
298×	`pow2_binary64`
272×	`fma-def_binary64`
206×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	267	27
2	3138	27

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

Inputs

(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000)) 2)

(*.f64 (pow.f64 x 3/2) (sqrt.f64 6450306886639899/50000000000000000))

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

Outputs

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4

Stop Event

1×

saturated

Counts

256 → 256

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)

Outputs
(*.f64 238732414637843/250000000000000 x)

eval426.0ms (6.9%)

Compiler: Compiled 12242 to 9815 computations (19.8% saved)

prune113.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	531	6	537
Fresh	6	0	6
Picked	1	0	1
Done	2	3	5
Total	540	9	549

Error

Counts

549 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.6b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (-.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))))
✓	19.8b	(*.f64 238732414637843/250000000000000 x)
▶	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
▶	43.2b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
	1.5b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
▶	43.2b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
▶	0.5b	(.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) 3)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Compiler

Compiled 174 to 126 computations (27.6% saved)

localize24.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

rewrite70.0ms (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	2315	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) 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((#(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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))))))))

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

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

969×	`sqr-pow_binary64`
566×	`pow-sqr_binary64`
563×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
531×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	288
1	32	288
2	61	288
3	135	288
4	337	288
5	1303	288
6	2674	288
7	2860	288
8	3110	288
9	3397	288
10	3776	288
11	4277	288
12	4891	288
13	5597	288
14	6066	288
15	6383	288
16	6653	288
17	6823	288
18	6915	288
19	7592	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))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.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 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.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)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite45.0ms (0.7%)

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

simplify141.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`sqr-pow_binary64`
715×	`pow-sqr_binary64`
530×	`cube-prod_binary64`
470×	`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	57	84
4	116	84
5	315	84
6	1143	84
7	1828	84
8	1915	84
9	2048	84
10	2206	84
11	2436	84
12	2758	84
13	3179	84
14	3679	84
15	4274	84
16	4996	84
17	5315	84
18	5599	84
19	5821	84
20	6001	84
21	6083	84
22	7023	84
23	7997	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))

localize34.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -6450306886639899/50000000000000000 x)
	0.1b	(.f64 (.f64 -6450306886639899/50000000000000000 x) x)
	0.0b	(-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))
	0.0b	(-.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))
✓	0.1b	(*.f64 -6450306886639899/50000000000000000 x)
✓	0.1b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (-.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))))
✓	0.2b	(.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (*.f64 -6450306886639899/50000000000000000 x) x))
✓	6.5b	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (-.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))

Compiler

Compiled 88 to 61 computations (30.7% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite233.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`log-prod_binary64`
602×	`prod-diff_binary64`
290×	`fma-def_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	284	37
2	4045	33

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 -6450306886639899/50000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (sqrt.f64 (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) (fma.f64 (neg.f64 (/.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) (sqrt.f64 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) (sqrt.f64 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (cbrt.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 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41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x x) 3)))) (fma.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (.f64 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 56993165798814994692847692649/62500000000000000000000000000 (/.f64 1 (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) (neg.f64 (.f64 (/.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 (.f64 x x) 2)) (fma.f64 x (.f64 x 6450306886639899/50000000000000000) 238732414637843/250000000000000)) 1))) (fma.f64 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simplify156.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

983×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
639×	`pow-sqr_binary64`
636×	`cube-prod_binary64`
545×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	288
1	39	288
2	75	288
3	177	288
4	540	288
5	1009	288
6	2364	288
7	2483	288
8	2657	288
9	2867	288
10	3152	288
11	3524	288
12	3970	288
13	4523	288
14	5211	288
15	5670	288
16	5979	288
17	6249	288
18	6461	288
19	6659	288
20	7438	288

Stop Event

1×	node limit

Counts

292 → 266

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (0.8%)

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize147.0ms (2.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x))) 3)
	0.1b	(.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) 3)))
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 x x))
	0.0b	(-.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x))) 3))
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 x x))
✓	0.1b	(.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) 3)))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x))) 3)
✓	21.3b	(cbrt.f64 (.f64 6450306886639899/50000000000000000 (.f64 x x)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series8.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
361×	`prod-exp_binary64`
357×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	243	29
2	2664	27

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 6450306886639899/50000000000000000 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 6450306886639899/50000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 6450306886639899/50000000000000000 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 6450306886639899/50000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6450306886639899/50000000000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 6450306886639899/50000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 6450306886639899/50000000000000000) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)) (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6450306886639899/50000000000000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)) 5/6) (cbrt.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 6450306886639899/50000000000000000)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 6450306886639899/50000000000000000 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 6450306886639899/50000000000000000 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 6450306886639899/50000000000000000 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 6450306886639899/50000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 6450306886639899/50000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1/3) (log.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1) (log.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (*.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3/2) (log.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (sqrt.f64 6450306886639899/50000000000000000))) (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 6450306886639899/50000000000000000 x)) (*.f64 (log.f64 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6))) x) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) x) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (*.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (+.f64 56993165798814994692847692649/62500000000000000000000000000 (fma.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4) (*.f64 1539897338202650532481239097857/12500000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 56993165798814994692847692649/62500000000000000000000000000 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (fma.f64 6450306886639899/50000000000000000 (*.f64 x x) 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)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(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 fma.f64 x 238732414637843/250000000000000 (*.f64 x (*.f64 (*.f64 x x) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 238732414637843/250000000000000 x (*.f64 (*.f64 (*.f64 x x) -6450306886639899/50000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -6450306886639899/50000000000000000 238732414637843/250000000000000)) 1) (*.f64 (log.f64 x) 1)))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	5	12

Stop Event

1×

saturated

Counts

130 → 128

Calls

Call 1

Inputs
(*.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)

eval484.0ms (7.8%)

Compiler: Compiled 20110 to 13882 computations (31% saved)

prune79.0ms (1.3%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	576	2	578
Fresh	0	1	1
Picked	1	0	1
Done	0	7	7
Total	577	10	587

Error

Counts

587 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.6b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (-.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))))
✓	19.8b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	43.2b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	1.5b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
✓	43.2b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
▶	43.5b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	43.2b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

Compiler

Compiled 106 to 75 computations (29.2% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
502×	`add-log-exp_binary64`
502×	`log1p-expm1-u_binary64`
502×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	124	14
2	1462	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1272×	`sqr-pow_binary64`
566×	`pow-sqr_binary64`
563×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
536×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	23	168
2	48	168
3	106	168
4	269	168
5	1138	168
6	2299	168
7	2465	168
8	2716	168
9	3003	168
10	3382	168
11	3879	168
12	4484	168
13	5190	168
14	5661	168
15	5982	168
16	6256	168
17	6426	168
18	6518	168
19	7195	168

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

Outputs
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
	0.2b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
	0.1b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
	0.1b	(*.f64 x -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
✓	21.3b	(cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series18.0ms (0.3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)))
1.0ms	x	@	inf	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	23
2	1931	23

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify143.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`sqr-pow_binary64`
715×	`pow-sqr_binary64`
530×	`cube-prod_binary64`
470×	`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	57	84
4	116	84
5	315	84
6	1143	84
7	1828	84
8	1915	84
9	2048	84
10	2206	84
11	2436	84
12	2758	84
13	3179	84
14	3679	84
15	4274	84
16	4996	84
17	5315	84
18	5599	84
19	5821	84
20	6001	84
21	6083	84
22	7023	84
23	7997	84

Stop Event

1×	node limit

Counts

83 → 72

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))

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))
	0.1b	(*.f64 -6450306886639899/50000000000000000 x)
	0.1b	(.f64 (.f64 -6450306886639899/50000000000000000 x) x)
	0.0b	(+.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))
	0.1b	(*.f64 -6450306886639899/50000000000000000 x)
✓	0.1b	(.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))
✓	0.6b	(cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)

Compiler

Compiled 51 to 36 computations (29.4% saved)

series38.0ms (0.6%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x))))
1.0ms	x	@	inf	(cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x))))

rewrite107.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
367×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
317×	`prod-diff_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	247	35
2	2839	35

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 238732414637843/250000000000000) 1) (*.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 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(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2) (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (sqrt.f64 (*.f64 x 238732414637843/250000000000000)) (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (sqrt.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x)) (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 -6450306886639899/50000000000000000) x) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.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 -6450306886639899/50000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))))) 3/2) 2))))))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
389×	`associate-/r/_binary64`
351×	`fma-def_binary64`
320×	`associate-/r*_binary64`
239×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	626
1	296	608
2	932	587
3	4007	545
4	7379	541

Stop Event

1×	node limit

Counts

208 → 151

Calls

Call 1

Inputs
(*.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 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x)) (.f64 0/9223372036854775808 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 12) (pow.f64 x 7)))))
(*.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 (.f64 -1 (/.f64 (+.f64 56993165798814994692847692649/72565952474698863750000000000 (.f64 (+.f64 (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4))) (.f64 -56993165798814994692847692649/281250000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -6450306886639899/50000000000000000)))) x)) (*.f64 238732414637843/250000000000000 x)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 13606116089006033875034270860295875508316107/1265625000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 6))) (+.f64 (.f64 238732414637843/750000000000000 (/.f64 (.f64 (+.f64 (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4))) (.f64 -56993165798814994692847692649/281250000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4)))) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2))) (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 13606116089006033875034270860295875508316107/126562500000000000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 7))) (.f64 -13606116089006033875034270860295875508316107/210937500000000000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 7)))) (cbrt.f64 -6450306886639899/50000000000000000))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 56993165798814994692847692649/72565952474698863750000000000 (.f64 (+.f64 (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4))) (.f64 -56993165798814994692847692649/281250000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -6450306886639899/50000000000000000)))) x)) (*.f64 238732414637843/250000000000000 x))))
(*.f64 (cbrt.f64 -6450306886639899/50000000000000000) x)
(+.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x) (.f64 238732414637843/750000000000000 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x) (.f64 238732414637843/750000000000000 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x)))) (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x) (+.f64 (.f64 238732414637843/750000000000000 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x))) (.f64 13606116089006033875034270860295875508316107/253125000000000000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 8) (pow.f64 x 5)))))) (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5) (pow.f64 x 3)))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -6450306886639899/50000000000000000) x)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x))) (.f64 -238732414637843/750000000000000 (/.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x))) (+.f64 (.f64 -238732414637843/750000000000000 (/.f64 (cbrt.f64 -1) (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x))) (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5) (pow.f64 x 3))))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -6450306886639899/50000000000000000) x))) (+.f64 (.f64 -238732414637843/750000000000000 (/.f64 (cbrt.f64 -1) (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2) x))) (+.f64 (.f64 -13606116089006033875034270860295875508316107/253125000000000000000000000000000000000000000 (/.f64 (cbrt.f64 -1) (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 8) (pow.f64 x 5)))) (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5) (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 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(-.f64 (+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x)) (.f64 0/9223372036854775808 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 12) (pow.f64 x 7)))))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 56993165798814994692847692649/72565952474698863750000000000 (.f64 (+.f64 (.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4))) (.f64 -56993165798814994692847692649/281250000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -6450306886639899/50000000000000000)))) x)) (*.f64 238732414637843/250000000000000 x)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (fma.f64 -1 (/.f64 (+.f64 56993165798814994692847692649/72565952474698863750000000000 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 4)) -56993165798814994692847692649/562500000000000000000000000000) (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (cbrt.f64 -1)))) x) (.f64 x 238732414637843/250000000000000)))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (-.f64 (.f64 x 238732414637843/250000000000000) (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 -6450306886639899/50000000000000000 (cbrt.f64 -6450306886639899/50000000000000000))) -56993165798814994692847692649/562500000000000000000000000000) (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (cbrt.f64 -1)) 56993165798814994692847692649/72565952474698863750000000000) x)))
(-.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)) (/.f64 (fma.f64 (cbrt.f64 -6450306886639899/50000000000000000) (.f64 (cbrt.f64 -1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -6450306886639899/50000000000000000)) 56993165798814994692847692649/72565952474698863750000000000)) 56993165798814994692847692649/72565952474698863750000000000) x))
(-.f64 (fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (.f64 x 238732414637843/250000000000000)) (/.f64 (fma.f64 (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (/.f64 -1 (*.f64 -6450306886639899/50000000000000000 (cbrt.f64 -6450306886639899/50000000000000000)))) -56993165798814994692847692649/562500000000000000000000000000 56993165798814994692847692649/72565952474698863750000000000) x))
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(-.f64 (fma.f64 56993165798814994692847692649/562500000000000000000000000000 (/.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5)) (pow.f64 x 3)) (fma.f64 (/.f64 -13606116089006033875034270860295875508316107/253125000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 8)) (/.f64 (cbrt.f64 -1) (pow.f64 x 5)) (.f64 -238732414637843/750000000000000 (/.f64 (cbrt.f64 -1) (.f64 x (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2)))))) (.f64 x (.f64 (cbrt.f64 -6450306886639899/50000000000000000) (cbrt.f64 -1))))
(-.f64 (.f64 (cbrt.f64 -1) (+.f64 (/.f64 -238732414637843/750000000000000 (.f64 x (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2))) (/.f64 -13606116089006033875034270860295875508316107/253125000000000000000000000000000000000000000 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 8) (pow.f64 x 5))))) (.f64 (cbrt.f64 -1) (fma.f64 x (cbrt.f64 -6450306886639899/50000000000000000) (/.f64 -56993165798814994692847692649/562500000000000000000000000000 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5))))))
(fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -238732414637843/750000000000000 (.f64 x (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 2))) (/.f64 -13606116089006033875034270860295875508316107/253125000000000000000000000000000000000000000 (.f64 (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 8) (pow.f64 x 5)))) (.f64 (cbrt.f64 -1) (-.f64 (/.f64 56993165798814994692847692649/562500000000000000000000000000 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -6450306886639899/50000000000000000) 5))) (*.f64 x (cbrt.f64 -6450306886639899/50000000000000000)))))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 x 238732414637843/250000000000000))

eval212.0ms (3.4%)

Compiler: Compiled 4213 to 3349 computations (20.5% saved)

prune42.0ms (0.7%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	277	10	287

Error

Counts

287 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.6b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 (.f64 -6450306886639899/50000000000000000 x) x) (.f64 (.f64 -6450306886639899/50000000000000000 x) x))) (-.f64 238732414637843/250000000000000 (.f64 (.f64 -6450306886639899/50000000000000000 x) x))))
✓	19.8b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 x (+.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000)) 238732414637843/250000000000000))
✓	43.2b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	1.5b	(pow.f64 (cbrt.f64 (.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 -6450306886639899/50000000000000000 x) x)))) 3)
✓	43.2b	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
✓	43.5b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -6450306886639899/50000000000000000))) 3))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	43.2b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))

Compiler

Compiled 106 to 75 computations (29.2% saved)

regimes17.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

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 111 to 73 computations (34.2% saved)

regimes11.0ms (0.2%)

Accuracy

Total -60.1b remaining (-4119.5%)

Threshold costs -60.1b (-4119.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.07561304932366755	46.757388683286756
18.0ms	-25.687577072349768	-0.0009497615662545505

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	28	53
2	37	53
3	48	53
4	59	53
5	64	53
6	66	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -112975158721763/4398046511104) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x))) (if (<=.f64 x 1394814569506472448/18446744073709551616) (*.f64 238732414637843/250000000000000 x) (*.f64 x (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))

(*.f64 238732414637843/250000000000000 x)

Outputs
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (+.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000)))
(if (<=.f64 x -112975158721763/4398046511104) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 1394814569506472448/18446744073709551616) (.f64 238732414637843/250000000000000 x) (.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -112975158721763/4398046511104) (.f64 x (.f64 (.f64 x x) -6450306886639899/50000000000000000)) (if (<=.f64 x 2724247206067329/36028797018963968) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)

end30.0ms (0.5%)

Stop Event

1×

done

Compiler

Compiled 78 to 49 computations (37.2% saved)

Details

analyze13.0ms (0.2%)

sample960.0ms (15.6%)

preprocess90.0ms (1.5%)

simplify82.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite150.0ms (2.4%)

simplify178.0ms (2.9%)

eval190.0ms (3.1%)

prune81.0ms (1.3%)

localize31.0ms (0.5%)

series4.0ms (0.1%)

rewrite59.0ms (1%)

simplify164.0ms (2.7%)

localize3.0ms (0%)

rewrite0.0ms (0%)

simplify6.0ms (0.1%)

localize9.0ms (0.1%)

series95.0ms (1.5%)

rewrite63.0ms (1%)

simplify156.0ms (2.5%)

localize21.0ms (0.3%)

series8.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify155.0ms (2.5%)

localize22.0ms (0.4%)

series29.0ms (0.5%)

rewrite170.0ms (2.8%)

simplify10.0ms (0.2%)

eval426.0ms (6.9%)

prune113.0ms (1.8%)

localize24.0ms (0.4%)

series3.0ms (0%)

rewrite70.0ms (1.1%)

simplify154.0ms (2.5%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite45.0ms (0.7%)

simplify141.0ms (2.3%)

localize34.0ms (0.5%)

series6.0ms (0.1%)

rewrite233.0ms (3.8%)

simplify156.0ms (2.5%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite47.0ms (0.8%)

simplify7.0ms (0.1%)

localize147.0ms (2.4%)

series8.0ms (0.1%)

rewrite88.0ms (1.4%)

simplify9.0ms (0.2%)

eval484.0ms (7.8%)

prune79.0ms (1.3%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (1%)

simplify137.0ms (2.2%)

localize16.0ms (0.3%)

series18.0ms (0.3%)

rewrite67.0ms (1.1%)

simplify143.0ms (2.3%)

localize22.0ms (0.3%)

series38.0ms (0.6%)

rewrite107.0ms (1.7%)

simplify70.0ms (1.1%)

eval212.0ms (3.4%)

prune42.0ms (0.7%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

bsearch42.0ms (0.7%)

simplify4.0ms (0.1%)

end30.0ms (0.5%)

Profiling