Details

analyze7.0ms (0.4%)

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
66.6%	0.1%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample785.0ms (40.4%)

Results

771.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess44.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

986×	`fma-neg_binary64`
313×	`distribute-rgt-neg-in_binary64`
301×	`associate-l_binary64`
241×	`fma-def_binary64`
233×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	135	11
4	228	11
5	392	11
6	762	11
7	1595	11
8	2514	11
9	3707	11
10	4623	11
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))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify38.0ms (2%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
313×	`distribute-rgt-neg-in_binary64`
301×	`associate-l_binary64`
241×	`fma-def_binary64`
233×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	11
2	55	11
3	135	11
4	228	11
5	392	11
6	762	11
7	1595	11
8	2514	11
9	3707	11
10	4623	11

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))

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Status

Error

Program

0.2b

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

▶

0.2b

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

Compiler

Compiled 62 to 41 computations (33.9% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

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

rewrite72.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
403×	`fma-def_binary64`
178×	`egg-rr`
178×	`fma-neg_binary64`
166×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	204	26
2	2606	26

Stop Event

1×	node limit

Counts

4 → 227

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 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (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 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.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 +.f64 0 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 6450306886639899/50000000000000000) (pow.f64 x 3))))) (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 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 pow.f64 (.f64 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 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 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(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 +.f64 0 (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)) (cbrt.f64 (pow.f64 (exp.f64 x) 238732414637843/250000000000000)))) (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 (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 (.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 log1p.f64 (expm1.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 238732414637843/250000000000000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 238732414637843/250000000000000) (.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (fma.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) 1 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (fma.f64 (neg.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000))) (pow.f64 (.f64 x (cbrt.f64 6450306886639899/50000000000000000)) 2) (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) 6450306886639899/50000000000000000) (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)) (.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.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)) (+.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.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 +.f64 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)) (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))) (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 238732414637843/250000000000000 (.f64 (.f64 x x) 6450306886639899/50000000000000000)))))) (#(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 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simplify36.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
608×	`fma-def_binary64`
298×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-neg-in_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	267
1	27	249
2	68	249
3	205	249
4	452	249
5	1150	249
6	1887	249
7	2780	249

Stop Event

1×	node limit

Counts

263 → 235

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

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

prune214.0ms (11%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	228	7	235
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	230	7	237

Error

0.0b

Counts

237 → 7

Alt Table

Status	Error	Program
	29.7b	(-.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
	1.1b	(fma.f64 (.f64 238732414637843/250000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	34.0b	(/.f64 (-.f64 (.f64 (.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (fma.f64 x 238732414637843/250000000000000 (.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
	0.2b	(fma.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))))
	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
	33.3b	(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)

Compiler

Compiled 5030 to 3867 computations (23.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

0.2b

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

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
85×	`add-exp-log_binary64`
85×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	178	30
2	2229	30

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify45.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
419×	`fma-neg_binary64`
402×	`distribute-rgt-neg-in_binary64`
375×	`distribute-lft-neg-in_binary64`
243×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	324
1	41	306
2	96	288
3	287	288
4	906	288
5	1784	288
6	2964	288
7	4356	288

Stop Event

1×	node limit

Counts

100 → 77

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

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

prune59.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Error

Counts

84 → 5

Alt Table

Status	Error	Program
▶	0.2b	(fma.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))))
	8.2b	(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 238732414637843/250000000000000) (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
	11.1b	(/.f64 (.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))

Compiler

Compiled 1182 to 821 computations (30.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.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))))
✓	0.1b	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
✓	0.1b	(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
✓	29.4b	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))

series6.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
1.0ms	x	@	inf	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
1.0ms	x	@	0	(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
0.0ms	x	@	0	(fma.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))))
0.0ms	x	@	-inf	(fma.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))))

rewrite57.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`log-prod_binary64`
260×	`pow2_binary64`
241×	`prod-diff_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	232	46
2	2437	46

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify39.0ms (2%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
608×	`fma-def_binary64`
297×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-neg-in_binary64`
249×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	315
1	28	297
2	68	297
3	204	297
4	455	297
5	1181	297
6	1920	297
7	2813	297

Stop Event

1×	node limit

Counts

154 → 114

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 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 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (pow.f64 x 3)))

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

prune113.0ms (5.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Error

Counts

119 → 5

Alt Table

Status	Error	Program
✓	0.2b	(fma.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))))
	8.2b	(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
	11.1b	(/.f64 (.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
▶	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))

Compiler

Compiled 2346 to 1899 computations (19.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.2%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
0.0ms	x	@	0	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
0.0ms	x	@	-inf	(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
0.0ms	x	@	0	(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
0.0ms	x	@	-inf	(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))

rewrite43.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	1768	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
608×	`fma-def_binary64`
297×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-neg-in_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	135
1	27	117
2	68	117
3	204	117
4	455	117
5	1180	117
6	1922	117
7	2814	117

Stop Event

1×	node limit

Counts

46 → 39

Calls

Call 1

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

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

prune30.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	39	5	44

Error

Counts

44 → 5

Alt Table

Status	Error	Program
✓	0.2b	(fma.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))))
	8.2b	(/.f64 (.f64 (-.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) x) (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 238732414637843/250000000000000))
	11.1b	(/.f64 (.f64 (-.f64 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000)) x) (+.f64 (+.f64 56993165798814994692847692649/62500000000000000000000000000 (.f64 (pow.f64 x 4) 41606458931834106848498498730201/2500000000000000000000000000000000)) (.f64 1539897338202650532481239097857/12500000000000000000000000000000 (.f64 x x))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 (*.f64 x x) 6450306886639899/50000000000000000)))
✓	0.2b	(fma.f64 x 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))

Compiler

Compiled 539 to 429 computations (20.4% saved)

regimes140.0ms (7.2%)

Accuracy

Total 0.2b remaining (94.6%)

Threshold costs 0.2b (94.6%)

Counts

80 → 1

Compiler

Compiled 1045 to 762 computations (27.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end86.0ms (4.4%)

Stop Event

1×

fuel

Compiler

Compiled 100 to 76 computations (24% saved)

Details

analyze7.0ms (0.4%)

sample785.0ms (40.4%)

preprocess44.0ms (2.3%)

simplify38.0ms (2%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

series7.0ms (0.4%)

rewrite72.0ms (3.7%)

simplify36.0ms (1.8%)

prune214.0ms (11%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite56.0ms (2.9%)

simplify45.0ms (2.3%)

prune59.0ms (3%)

localize8.0ms (0.4%)

series6.0ms (0.3%)

rewrite57.0ms (3%)

simplify39.0ms (2%)

prune113.0ms (5.8%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite43.0ms (2.2%)

simplify31.0ms (1.6%)

prune30.0ms (1.5%)

regimes140.0ms (7.2%)

simplify2.0ms (0.1%)

end86.0ms (4.4%)

Profiling