Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (10.2%)

Results

1.0s	8256×	body	256	valid
1.0ms	15×	body	256	invalid

preprocess124.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 14 computations (57.6% saved)

series11.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite178.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(.f64 6450306886639899/50000000000000000 (.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 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 x))) 2)) (cbrt.f64 (.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 x)))) (sqrt.f64 (.f64 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 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 (sqrt.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 x 9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 (.f64 6450306886639899/50000000000000000 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (.f64 6450306886639899/50000000000000000 x) x)) (.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))) 2)) (cbrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))) (sqrt.f64 (log.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 238732414637843/250000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 3) 1/3))))))
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6450306886639899/50000000000000000)))))))) (#(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 (pow.f64 x 3) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))))) (#(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))))))

simplify264.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	249
1	24	249
2	56	249
3	122	249
4	225	249
5	563	249
6	731	249
7	1054	249
8	2336	249
9	2437	249
10	2596	249
11	2803	249
12	3108	249
13	3536	249
14	4099	249
15	4777	249
16	5633	249
17	6299	249
18	6858	249
19	7420	249
20	7948	249

Stop Event

1×	node limit

Counts

308 → 280

Calls

Call 1

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

eval284.0ms (2.7%)

Compiler: Compiled 5405 to 4153 computations (23.2% saved)

prune173.0ms (1.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	261	19	280
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	20	281

Error

0.0b

Counts

281 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.7b	(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) x (*.f64 x 238732414637843/250000000000000))
	27.1b	(.f64 (fma.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (neg.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
	11.8b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (sqrt.f64 (pow.f64 x 6))))
	46.3b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	0.2b	(+.f64 (.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	16.7b	(*.f64 x 238732414637843/250000000000000)
	1.2b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	41.2b	(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2) (.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 6450306886639899/50000000000000000 x) x)))
	29.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	29.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (sqrt.f64 x) 6)))
	1.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	8.5b	(fma.f64 (neg.f64 (cbrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))) (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
▶	31.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
▶	29.3b	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	26.9b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2)) (-.f64 (.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))

Compiler

Compiled 636 to 484 computations (23.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	177	34
2	2235	34

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

105 → 81

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	inf	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	-inf	(*.f64 x 238732414637843/250000000000000)

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)

Outputs

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
	0.1b	(.f64 (.f64 x x) x)
✓	0.3b	(.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)
✓	18.6b	(sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000))

Compiler

Compiled 44 to 18 computations (59.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
	0.1b	(.f64 (.f64 x x) x)
✓	0.2b	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)
✓	27.8b	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series15.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000))
5.0ms	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)
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)

rewrite155.0ms (1.5%)

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 expm1.f64 (log1p.f64 (*.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 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 expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))) (#(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 exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)))))))

simplify335.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	164
1	28	164
2	58	164
3	86	164
4	147	164
5	379	164
6	1272	164
7	1971	164
8	2090	164
9	2483	164
10	2641	164
11	2884	164
12	3206	164
13	3628	164
14	4129	164
15	4730	164
16	5450	164
17	5769	164
18	6053	164
19	6279	164
20	6457	164
21	6537	164
22	7477	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))

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

✓

0.1b

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

✓

0.2b

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series15.0ms (0.1%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
3.0ms	x	@	-inf	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms	x	@	inf	(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.0ms	x	@	-inf	(*.f64 238732414637843/250000000000000 (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 238732414637843/250000000000000 (sqrt.f64 x))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	211	26
2	2245	26

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	98
1	15	98
2	32	98
3	56	98
4	114	98
5	326	98
6	1180	98
7	1869	98
8	1956	98
9	2089	98
10	2247	98
11	2486	98
12	2808	98
13	3231	98
14	3733	98
15	4335	98
16	5057	98
17	5378	98
18	5664	98
19	5886	98
20	6064	98
21	6144	98
22	7084	98

Stop Event

1×	node limit

Counts

57 → 44

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

eval185.0ms (1.8%)

Compiler: Compiled 5418 to 3868 computations (28.6% saved)

prune64.0ms (0.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	357	10	367
Fresh	10	4	14
Picked	1	0	1
Done	2	3	5
Total	370	17	387

Error

Counts

387 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	27.0b	(/.f64 (-.f64 (.f64 (.f64 238732414637843/250000000000000 x) (.f64 238732414637843/250000000000000 x)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
	6.9b	(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)) x) (+.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
	46.3b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1) x)))
▶	46.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	16.7b	(*.f64 x 238732414637843/250000000000000)
▶	4.0b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 6450306886639899/50000000000000000 x) x)))
	29.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (sqrt.f64 x) 6)))
	0.3b	(.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (.f64 (sqrt.f64 6450306886639899/50000000000000000) x) 2)))
	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (-.f64 (+.f64 1 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))
	4.5b	(.f64 x (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)) (/.f64 1 (+.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))
▶	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
	46.4b	(.f64 x (.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
▶	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	59.9b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 406 to 308 computations (24.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (+.f64 1 (.f64 x 6450306886639899/50000000000000000)) 1) x)
✓	0.1b	(*.f64 x 6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1) x)))
✓	4.2b	(-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1)

Compiler

Compiled 53 to 42 computations (20.8% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
517×	`prod-diff_binary64`
436×	`fma-def_binary64`
289×	`pow2_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	251	28
2	3488	28

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 6450306886639899/50000000000000000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (fma.f64 x 6450306886639899/50000000000000000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 6450306886639899/50000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 6450306886639899/50000000000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 6450306886639899/50000000000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 6450306886639899/50000000000000000 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 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6450306886639899/50000000000000000 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (fma.f64 x 6450306886639899/50000000000000000 -1)))))))

simplify227.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
461×	`fabs-mul_binary64`
455×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	297
1	32	297
2	62	297
3	148	297
4	404	297
5	1543	297
6	2976	297
7	3162	297
8	3412	297
9	3699	297
10	4078	297
11	4596	297
12	5203	297
13	5915	297
14	6384	297
15	6703	297
16	6975	297
17	7145	297
18	7237	297
19	7914	297

Stop Event

1×	node limit

Counts

255 → 152

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (.f64 x -6450306886639899/50000000000000000))
1.0ms	x	@	0	(.f64 x (.f64 x -6450306886639899/50000000000000000))
1.0ms	x	@	0	(*.f64 x -6450306886639899/50000000000000000)
0.0ms	x	@	0	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
0.0ms	x	@	-inf	(.f64 x (.f64 x -6450306886639899/50000000000000000))

rewrite78.0ms (0.8%)

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	21
1	122	18
2	1416	18

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

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

Outputs

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

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

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

simplify208.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1208×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
533×	`fabs-mul_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	216
1	25	216
2	48	216
3	98	216
4	291	216
5	1225	216
6	2403	216
7	2569	216
8	2820	216
9	3107	216
10	3486	216
11	3995	216
12	4589	216
13	5301	216
14	5768	216
15	6087	216
16	6361	216
17	6531	216
18	6623	216
19	7300	216

Stop Event

1×	node limit

Counts

69 → 37

Calls

Call 1

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

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

localize68.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
✓	0.2b	(.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	4.2b	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000))))

Compiler

Compiled 88 to 61 computations (30.7% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite202.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
602×	`prod-diff_binary64`
289×	`fma-def_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	284	33
2	4056	29

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

276 → 251

Calls

Call 1

Inputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))

Outputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	162	17
2	1813	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	21	117
2	41	117
3	87	117
4	153	117
5	375	117
6	1244	117
7	1957	117
8	2044	117
9	2177	117
10	2335	117
11	2576	117
12	2898	117
13	3322	117
14	3825	117
15	4426	117
16	5148	117
17	5469	117
18	5751	117
19	5971	117
20	6151	117
21	6231	117
22	7171	117

Stop Event

1×	node limit

Counts

44 → 36

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))

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	1768	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify181.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	21	117
2	41	117
3	87	117
4	153	117
5	375	117
6	1244	117
7	1957	117
8	2044	117
9	2177	117
10	2335	117
11	2576	117
12	2898	117
13	3322	117
14	3825	117
15	4426	117
16	5148	117
17	5469	117
18	5751	117
19	5971	117
20	6151	117
21	6231	117
22	7171	117

Stop Event

1×	node limit

Counts

33 → 25

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))

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

eval1.3s (12.2%)

Compiler: Compiled 20066 to 13138 computations (34.5% saved)

prune113.0ms (1.1%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	572	5	577
Fresh	4	5	9
Picked	1	0	1
Done	1	6	7
Total	578	16	594

Error

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 x (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
▶	46.3b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1) x)))
✓	46.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	4.1b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
▶	59.9b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
✓	16.7b	(*.f64 x 238732414637843/250000000000000)
✓	4.0b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
	29.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (sqrt.f64 x) 6)))
	27.0b	(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
	6.9b	(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)) x) (+.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (-.f64 (+.f64 1 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))
	0.2b	(.f64 x (+.f64 (.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000))
✓	0.2b	(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
▶	4.1b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

Compiler

Compiled 361 to 275 computations (23.8% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x 6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (.f64 x 6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (-.f64 (+.f64 1 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))
✓	1.7b	(-.f64 (+.f64 1 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)

Compiler

Compiled 53 to 40 computations (24.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`prod-diff_binary64`
512×	`fma-def_binary64`
508×	`log-prod_binary64`
288×	`pow2_binary64`
227×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	251	27
2	3511	27

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

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

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

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 41606458931834106848498498730201/2500000000000000000000000000000000))) (cbrt.f64 (*.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000))) (sqrt.f64 (*.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (sqrt.f64 x)) (sqrt.f64 x) 0)))))

simplify238.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
536×	`unswap-sqr_binary64`
462×	`fabs-mul_binary64`
448×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	285
1	30	285
2	62	285
3	148	285
4	405	285
5	1528	285
6	2954	285
7	3140	285
8	3391	285
9	3678	285
10	4057	285
11	4573	285
12	5178	285
13	5888	285
14	6355	285
15	6678	285
16	6950	285
17	7120	285
18	7212	285
19	7889	285

Stop Event

1×	node limit

Counts

225 → 129

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 x 238732414637843/250000000000000))
	0.1b	(*.f64 x 238732414637843/250000000000000)
✓	4.1b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	9
2	2109	9

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	120
1	10	102
2	12	102

Stop Event

1×

saturated

Counts

103 → 81

Calls

Call 1

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

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
1
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(*.f64 238732414637843/250000000000000 x)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)
(+.f64 1 (*.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 238732414637843/250000000000000 x) 1)
(fma.f64 238732414637843/250000000000000 x 1)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x -6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
✓	0.3b	(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
✓	4.2b	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000))))

Compiler

Compiled 69 to 53 computations (23.2% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite197.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
574×	`prod-diff_binary64`
266×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	349	30
2	4798	26

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (sqrt.f64 (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (fma.f64 (neg.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (fma.f64 (neg.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (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 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 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 (pow.f64 x 4) (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 (neg.f64 (/.f64 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simplify182.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	204
1	32	204
2	61	204
3	134	204
4	358	204
5	1404	204
6	2776	204
7	2962	204
8	3213	204
9	3500	204
10	3879	204
11	4390	204
12	4993	204
13	5703	204
14	6176	204
15	6497	204
16	6769	204
17	6937	204
18	7029	204
19	7706	204

Stop Event

1×	node limit

Counts

258 → 243

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
✓	0.2b	(pow.f64 (*.f64 x x) 2)
✓	0.3b	(.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)
✓	4.2b	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000))))

Compiler

Compiled 98 to 67 computations (31.6% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
0.0ms	x	@	0	(pow.f64 (*.f64 x x) 2)
0.0ms	x	@	inf	(pow.f64 (*.f64 x x) 2)
0.0ms	x	@	inf	(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
0.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

rewrite215.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`prod-diff_binary64`
344×	`fma-def_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
186×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	415	34
2	5406	30

Stop Event

1×	node limit

Counts

4 → 283

Calls

Call 1

Inputs
(/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000))))
(.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000)
(pow.f64 (*.f64 x x) 2)
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) (fma.f64 (neg.f64 (sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))))) (sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (fma.f64 (neg.f64 (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (fma.f64 (neg.f64 (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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) (fma.f64 (neg.f64 (/.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)))) (/.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (sqrt.f64 (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (/.f64 (pow.f64 x 4) (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 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41606458931834106848498498730201/2500000000000000000000000000000000)))))) (#(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 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 41606458931834106848498498730201/2500000000000000000000000000000000))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))) 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41606458931834106848498498730201/2500000000000000000000000000000000 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 41606458931834106848498498730201/2500000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 56993165798814994692847692649/62500000000000000000000000000 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (pow.f64 x 3) 2) -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000))) (fma.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000) 56993165798814994692847692649/62500000000000000000000000000) (neg.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000)) 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simplify240.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	336
1	39	336
2	75	336
3	179	336
4	601	336
5	1059	336
6	2414	336
7	2533	336
8	2707	336
9	2922	336
10	3205	336
11	3579	336
12	4025	336
13	4576	336
14	5260	336
15	5721	336
16	6032	336
17	6304	336
18	6510	336
19	6704	336
20	7487	336

Stop Event

1×	node limit

Counts

331 → 295

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

Outputs
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(.f64 -6450306886639899/50000000000000000 (.f64 x x))
(.f64 x (.f64 -6450306886639899/50000000000000000 x))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)
(fma.f64 x (*.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000)
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(fma.f64 -6450306886639899/50000000000000000 (pow.f64 x 3) (*.f64 238732414637843/250000000000000 x))
(fma.f64 238732414637843/250000000000000 x (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(.f64 x (fma.f64 -6450306886639899/50000000000000000 (.f64 x x) 238732414637843/250000000000000))
(.f64 x (fma.f64 x (.f64 -6450306886639899/50000000000000000 x) 238732414637843/250000000000000))

eval1.2s (11.6%)

Compiler: Compiled 27939 to 21301 computations (23.8% saved)

prune111.0ms (1.1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	796	5	801
Fresh	3	2	5
Picked	1	0	1
Done	3	7	10
Total	803	14	817

Error

Counts

817 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
	61.2b	(-.f64 1 1)
✓	46.3b	(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1) x)))
✓	46.3b	(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	4.1b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
✓	59.9b	(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
✓	16.7b	(*.f64 x 238732414637843/250000000000000)
	0.1b	(+.f64 (.f64 (-.f64 -11267585362157/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) x) x)
	46.4b	(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
	29.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (sqrt.f64 x) 6)))
	27.0b	(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
	4.1b	(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (.f64 (.f64 x x) (.f64 x x)) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))

Compiler

Compiled 163 to 121 computations (25.8% saved)

regimes79.0ms (0.8%)

Counts

40 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(*.f64 x 238732414637843/250000000000000)
(.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))
(-.f64 (+.f64 1 (*.f64 x 238732414637843/250000000000000)) 1)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(.f64 x (+.f64 (.f64 -6450306886639899/50000000000000000 (*.f64 x x)) 238732414637843/250000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 6450306886639899/50000000000000000 x) x)))
(+.f64 (.f64 (-.f64 -11267585362157/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) x) x)
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (-.f64 (+.f64 1 (*.f64 x 6450306886639899/50000000000000000)) 1) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (-.f64 (+.f64 1 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (.f64 (.f64 x x) (.f64 x x)) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (.f64 x (.f64 x -6450306886639899/50000000000000000)) (.f64 x (.f64 x -6450306886639899/50000000000000000)))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(.f64 x (.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(/.f64 x (/.f64 1 (fma.f64 -6450306886639899/50000000000000000 (*.f64 x x) 238732414637843/250000000000000)))
(fma.f64 (.f64 -6450306886639899/50000000000000000 (.f64 x x)) x (*.f64 x 238732414637843/250000000000000))
(fma.f64 (.f64 -6450306886639899/50000000000000000 x) (.f64 x x) (*.f64 x 238732414637843/250000000000000))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x)))
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 4))) (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x -6450306886639899/50000000000000000)))))
(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)) x) (+.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 x (/.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (+.f64 0 (.f64 (pow.f64 (.f64 x x) 2) 41606458931834106848498498730201/2500000000000000000000000000000000))) (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(.f64 x (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2)) (/.f64 1 (+.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))
(fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(.f64 x (-.f64 238732414637843/250000000000000 (pow.f64 (.f64 (sqrt.f64 6450306886639899/50000000000000000) x) 2)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (sqrt.f64 (pow.f64 x 6))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 (sqrt.f64 x) 6)))
(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 x 238732414637843/250000000000000)) 2) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 x 238732414637843/250000000000000)) 3) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(/.f64 (-.f64 (.f64 (.f64 x 238732414637843/250000000000000) (.f64 x 238732414637843/250000000000000)) (.f64 (pow.f64 x 6) 41606458931834106848498498730201/2500000000000000000000000000000000)) (-.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 238732414637843/250000000000000 x) (.f64 238732414637843/250000000000000 x)) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (pow.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 2)) (-.f64 (.f64 x 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))
(fma.f64 (.f64 238732414637843/250000000000000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))) (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) (*.f64 x 238732414637843/250000000000000))
(.f64 (fma.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000 (neg.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
(+.f64 (.f64 x 238732414637843/250000000000000) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 3)) (+.f64 (pow.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) 2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) 2) (.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))))

Outputs
(+.f64 (.f64 (-.f64 -11267585362157/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) x) x)

Calls

3 calls:

23.0ms

19.0ms

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

19.0ms

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

Results

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

Compiler

Compiled 607 to 426 computations (29.8% saved)

regimes10.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes16.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.370840529417722	187.78066342539447
20.0ms	-2543981135337.477	-0.602516291185853

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.370840529417722	187.78066342539447
19.0ms	-2543981135337.477	-0.602516291185853

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -44.6b remaining (-266.7%)

Threshold costs -44.6b (-266.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 238732414637843/250000000000000)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.7b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
9×	`distribute-rgt-neg-in_binary64`
9×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	119
1	65	119
2	93	119
3	111	119
4	129	119
5	134	119
6	136	119

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 -11267585362157/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) x) x)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 6450306886639899/50000000000000000 x) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(if (<=.f64 x -5210073365171153/2048) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3086858448735013/2251799813685248) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -5210073365171153/2048) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3086858448735013/2251799813685248) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(*.f64 x 238732414637843/250000000000000)
(-.f64 1 1)

Outputs
(+.f64 (.f64 (-.f64 -11267585362157/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))) x) x)
(+.f64 x (.f64 x (+.f64 -11267585362157/250000000000000 (.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 6450306886639899/50000000000000000 x) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (+.f64 238732414637843/250000000000000 (.f64 x (*.f64 x -6450306886639899/50000000000000000))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
(.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 -5210073365171153/2048) (.f64 x (.f64 x (.f64 x -6450306886639899/50000000000000000))) (if (<=.f64 x 3086858448735013/2251799813685248) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 x (*.f64 x -6450306886639899/50000000000000000)))))
(if (<=.f64 x -5210073365171153/2048) (.f64 x (.f64 -6450306886639899/50000000000000000 (.f64 x x))) (if (<=.f64 x 3086858448735013/2251799813685248) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 -6450306886639899/50000000000000000 (*.f64 x x)))))
(if (<=.f64 x -5210073365171153/2048) (.f64 x (.f64 (.f64 x x) -6450306886639899/50000000000000000)) (if (<=.f64 x 3086858448735013/2251799813685248) (.f64 x 238732414637843/250000000000000) (.f64 x (.f64 (*.f64 x x) -6450306886639899/50000000000000000))))
(*.f64 x 238732414637843/250000000000000)
(-.f64 1 1)
0

Compiler

Compiled 90 to 60 computations (33.3% saved)

soundness0.0ms (0%)

end70.0ms (0.7%)

Compiler: Compiled 84 to 52 computations (38.1% saved)