Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample665.0ms (48.9%)

Results

654.0ms

8256×

body

256

valid

Bogosity

preprocess142.0ms (10.4%)

Algorithm

2×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
635×	`cube-prod_binary64`
563×	`fabs-mul_binary64`
362×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	15	8
2	31	8
3	46	8
4	71	8
5	123	8
6	246	8
7	709	8
8	1405	8
9	1506	8
10	1639	8
11	1797	8
12	2036	8
13	2360	8
14	2784	8
15	3287	8
16	3887	8
17	4611	8
18	4930	8
19	5216	8
20	5440	8
21	5618	8
22	5700	8
23	6640	8
24	7614	8
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify131.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
635×	`cube-prod_binary64`
563×	`fabs-mul_binary64`
362×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	15	8
2	31	8
3	46	8
4	71	8
5	123	8
6	246	8
7	709	8
8	1405	8
9	1506	8
10	1639	8
11	1797	8
12	2036	8
13	2360	8
14	2784	8
15	3287	8
16	3887	8
17	4611	8
18	4930	8
19	5216	8
20	5440	8
21	5618	8
22	5700	8
23	6640	8
24	7614	8

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))

eval1.0ms (0.1%)

Compiler: Compiled 29 to 12 computations (58.6% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(*.f64 x (fma.f64 x x x))

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x x))

Compiler

Compiled 12 to 3 computations (75% saved)

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`pow1_binary64`
361×	`add-sqr-sqrt_binary64`
356×	`*-un-lft-identity_binary64`
347×	`add-log-exp_binary64`
347×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	79	8
2	949	8

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 x 3)) (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (.f64 x x))))))

Outputs

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

simplify41.0ms (3%)

Algorithm

1×	egg-herbie

Rules

814×	`log-prod_binary64`
657×	`fma-neg_binary64`
500×	`associate-l_binary64`
458×	`associate-r_binary64`
437×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	395
1	174	309
2	358	309
3	964	309
4	5106	309

Stop Event

1×	node limit

Counts

39 → 34

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 0 (*.f64 x (fma.f64 x x x)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))
(log.f64 (.f64 (exp.f64 (pow.f64 x 3)) (exp.f64 (.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x x x)))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(fma.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (.f64 x x))
(fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (*.f64 x x))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 0 (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x x)) x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(log.f64 (.f64 (exp.f64 (pow.f64 x 3)) (exp.f64 (.f64 x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x x x)))) 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 x (.f64 x x) (.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

Compiler

Compiled 19 to 4 computations (78.9% saved)

series2.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite43.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`pow1_binary64`
553×	`add-log-exp_binary64`
552×	`log1p-expm1-u_binary64`
552×	`expm1-log1p-u_binary64`
539×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	116	12
2	1609	12

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(.f64 x (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))))))

simplify61.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-neg_binary64`
668×	`div-sub_binary64`
374×	`times-frac_binary64`
364×	`log-prod_binary64`
284×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	653
1	286	638
2	924	638
3	4686	638

Stop Event

1×	node limit

Counts

77 → 61

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)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 x 9) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 x x) (+.f64 x 1))
(.f64 (.f64 x (fma.f64 x x x)) 1)
(.f64 1 (.f64 x (fma.f64 x x x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))
(.f64 (+.f64 x 1) (.f64 x x))
(*.f64 (fma.f64 x x x) x)
(.f64 (.f64 (+.f64 x 1) 1) (*.f64 x x))
(.f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 1 (*.f64 x x) (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 9) 1/3)
(cbrt.f64 (pow.f64 x 9))
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 x 1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 x (fma.f64 x x x)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 1 (.f64 x (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 4)) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (+.f64 x 1) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 (+.f64 x 1) 1) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (+.f64 x 1) (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (+.f64 x 1) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 9) (pow.f64 x 6))))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 4)) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 4)) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 4)) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 4)) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 1 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))

eval21.0ms (1.6%)

Compiler: Compiled 980 to 480 computations (51% saved)

prune9.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(*.f64 x (fma.f64 x x x))
▶	1.6b	(*.f64 x x)

Compiler

Compiled 29 to 14 computations (51.7% saved)

localize26.0ms (1.9%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`pow1_binary64`
550×	`log1p-expm1-u_binary64`
550×	`expm1-log1p-u_binary64`
549×	`add-log-exp_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	125	10
2	1605	10

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(.f64 (+.f64 x 1) (.f64 x x))

Outputs

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

simplify42.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary64`
649×	`fma-neg_binary64`
381×	`div-sub_binary64`
369×	`associate-l_binary64`
350×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	255
1	145	253
2	454	243
3	2655	243
4	5963	243

Stop Event

1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 (log.f64 x) 2)))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (.f64 x (.f64 x (+.f64 (pow.f64 x 3) 1))) (fma.f64 x x (-.f64 1 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x x (-.f64 1 x))) (.f64 x x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (.f64 x (.f64 x (+.f64 (pow.f64 x 3) 1))) (fma.f64 x x (-.f64 1 x)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x x (-.f64 1 x))) (.f64 x x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 2 (log.f64 x))))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 x)))
(.f64 x (.f64 x (exp.f64 (log1p.f64 x))))

eval6.0ms (0.4%)

Compiler: Compiled 270 to 153 computations (43.3% saved)

prune5.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(*.f64 x (fma.f64 x x x))
✓	1.6b	(*.f64 x x)

Compiler

Compiled 29 to 14 computations (51.7% saved)

regimes6.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 (+.f64 x 1) (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 x (fma.f64 x x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 38 to 14 computations (63.2% saved)

regimes3.0ms (0.2%)

Accuracy

Total -1.5b remaining (-4350.6%)

Threshold costs -1.5b (-4350.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 (+.f64 x 1) (.f64 x x))

Outputs
(.f64 (+.f64 x 1) (.f64 x x))

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 13 to 6 computations (53.8% saved)

simplify27.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	14	27

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 (+.f64 x 1) (.f64 x x))
(*.f64 x x)

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(.f64 (+.f64 x 1) (.f64 x x))
(.f64 (.f64 x x) (+.f64 x 1))
(*.f64 x x)

Compiler

Compiled 22 to 11 computations (50% saved)

soundness0.0ms (0%)

end17.0ms (1.2%)

Compiler: Compiled 20 to 7 computations (65% saved)

Details

analyze0.0ms (0%)

sample665.0ms (48.9%)

preprocess142.0ms (10.4%)

simplify131.0ms (9.6%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite36.0ms (2.6%)

simplify41.0ms (3%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite43.0ms (3.1%)

simplify61.0ms (4.5%)

eval21.0ms (1.6%)

prune9.0ms (0.7%)

localize26.0ms (1.9%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite56.0ms (4.1%)

simplify42.0ms (3.1%)

eval6.0ms (0.4%)

prune5.0ms (0.4%)

regimes6.0ms (0.4%)

regimes3.0ms (0.2%)

simplify27.0ms (2%)

soundness0.0ms (0%)

end17.0ms (1.2%)

Profiling