Details

analyze537.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample30.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify174.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_3756` `*-un-lft-identity_binary64_3734`
4×	`pow1_binary64_3795` `add-log-exp_binary64_3773` `add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770` `associate-r_binary64_3674` `add-cube-cbrt_binary64_3769`
3×	`associate-l_binary64_3675`
2×	`associate-+r+_binary64_3666` `flip-+_binary64_3708` `distribute-lft-in_binary64_3683` `associate-*r/_binary64_3676` `distribute-rgt-in_binary64_3684` `flip3-+_binary64_3737`
1×	`sum-log_binary64_3825` `cbrt-unprod_binary64_3767` `pow-prod-down_binary64_3805` `+-commutative_binary64_3664` `prod-exp_binary64_3783` `unswap-sqr_binary64_3702` `*-commutative_binary64_3665` `distribute-lft-out_binary64_3685`

Counts

2 → 36

Calls

4 calls:

13.0ms	(*.f64 y (+.f64 z x))
7.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
0.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
0.0ms	(*.f64 y (+.f64 z x))

series360.0ms (5.7%)

Counts

2 → 33

Calls

2 calls:

206.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
153.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 377 to 318 computations (15.6% saved)

simplify125.0ms (2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4971	641
1	4971	641

prune80.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Error

0.0b

Counts

70 → 4

Compiler

Compiled 668 to 144 computations (78.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 y x))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 (.f64 y z) (.f64 y x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3773`
4×	`sum-log_binary64_3825` `*-un-lft-identity_binary64_3734`
2×	`pow1_binary64_3795` `add-sqr-sqrt_binary64_3756` `flip-+_binary64_3708` `+-commutative_binary64_3664` `add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770` `flip3-+_binary64_3737` `add-cube-cbrt_binary64_3769` `distribute-lft-out_binary64_3685`
1×	`associate-+r+_binary64_3666`

Counts

2 → 26

Calls

4 calls:

10.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
7.0ms	(+.f64 (.f64 y z) (.f64 y x))
0.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0ms	(+.f64 (.f64 y z) (.f64 y x))

series363.0ms (5.8%)

Counts

2 → 33

Calls

2 calls:

200.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
163.0ms	(+.f64 (.f64 y z) (.f64 y x))

Compiler

Compiled 377 to 318 computations (15.6% saved)

simplify159.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4979	584
1	4979	584

prune50.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Error

0.0b

Counts

63 → 4

Compiler

Compiled 562 to 113 computations (79.9% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

32.5b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))
0.3b	(pow.f64 (*.f64 y (+.f64 z x)) 3)
0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
0.0b	(*.f64 y (+.f64 z x))
0.3b	(pow.f64 (*.f64 y (+.f64 z x)) 3)
32.5b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3734`
10×	`add-sqr-sqrt_binary64_3756`
9×	`pow1_binary64_3795` `add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770`
8×	`cbrt-prod_binary64_3765` `add-cube-cbrt_binary64_3769`
6×	`associate-*r/_binary64_3676` `add-log-exp_binary64_3773`
4×	`flip-+_binary64_3708` `cube-div_binary64_3763` `associate-r_binary64_3674` `flip3-+_binary64_3737`
3×	`pow-unpow_binary64_3811` `associate-l_binary64_3675`
2×	`cbrt-div_binary64_3766` `sqr-pow_binary64_3706` `cbrt-unprod_binary64_3767` `unpow3_binary64_3800` `pow-prod-down_binary64_3805` `cube-mult_binary64_3764` `rem-cube-cbrt_binary64_3757` `prod-exp_binary64_3783` `cube-prod_binary64_3762` `unpow-prod-down_binary64_3813` `pow-exp_binary64_3802` `pow-pow_binary64_3806` `distribute-lft-out_binary64_3685`
1×	`sum-log_binary64_3825` `pow1/3_binary64_3816` `distribute-lft-in_binary64_3683` `+-commutative_binary64_3664` `rem-cbrt-cube_binary64_3758` `distribute-rgt-in_binary64_3684` `unswap-sqr_binary64_3702` `pow-to-exp_binary64_3803` `*-commutative_binary64_3665`

Counts

4 → 78

Calls

8 calls:

11.0ms	(pow.f64 (*.f64 y (+.f64 z x)) 3)
11.0ms	(*.f64 y (+.f64 z x))
8.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
7.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))
0.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))

series766.0ms (12.2%)

Counts

4 → 69

Calls

4 calls:

250.0ms	(pow.f64 (*.f64 y (+.f64 z x)) 3)
233.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
145.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))
138.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 1253 to 1080 computations (13.8% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5554	1676

prune175.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Error

0.0b

Counts

151 → 4

Compiler

Compiled 1823 to 718 computations (60.6% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 y (sqrt.f64 (+.f64 z x)))
0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))))
0.0b	(sqrt.f64 (+.f64 z x))
0.0b	(sqrt.f64 (+.f64 z x))
0.0b	(sqrt.f64 (+.f64 z x))
0.0b	(sqrt.f64 (+.f64 z x))
0.1b	(*.f64 y (sqrt.f64 (+.f64 z x)))
0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

rewrite65.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3734`
18×	`sqrt-div_binary64_3751`
17×	`add-sqr-sqrt_binary64_3756` `sqrt-prod_binary64_3750`
14×	`associate-r_binary64_3674`
13×	`pow1_binary64_3795`
11×	`add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770` `add-cube-cbrt_binary64_3769`
10×	`associate-*r/_binary64_3676`
9×	`flip-+_binary64_3708` `flip3-+_binary64_3737`
4×	`cbrt-unprod_binary64_3767` `pow-prod-down_binary64_3805` `prod-exp_binary64_3783` `add-log-exp_binary64_3773` `frac-times_binary64_3744` `distribute-lft-out_binary64_3685` `associate-l_binary64_3675`
2×	`pow1/2_binary64_3814` `sqrt-pow1_binary64_3752` `associate-l/_binary64_3677` `unswap-sqr_binary64_3702` `rem-sqrt-square_binary64_3747` `-commutative_binary64_3665`

Counts

4 → 87

Calls

8 calls:

26.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
12.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
6.0ms	(sqrt.f64 (+.f64 z x))
6.0ms	(sqrt.f64 (+.f64 z x))
0.0ms	(sqrt.f64 (+.f64 z x))

series424.0ms (6.7%)

Counts

4 → 42

Calls

4 calls:

153.0ms	(*.f64 y (sqrt.f64 (+.f64 z x)))
141.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
68.0ms	(sqrt.f64 (+.f64 z x))
62.0ms	(sqrt.f64 (+.f64 z x))

Compiler

Compiled 1095 to 868 computations (20.7% saved)

simplify185.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4942	1445
1	4942	1445

prune157.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	5	133

Error

Counts

133 → 5

Compiler

Compiled 2025 to 454 computations (77.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	267
1	89	267

regimes151.0ms (2.4%)

Accuracy

Total 0.0b remaining (61.4%)

Threshold costs 0.0b (61.4%)

Compiler

Compiled 543 to 420 computations (22.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample2.3s (35.8%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	128	valid
27.0ms	628×	body	128	invalid

Compiler

Compiled 545 to 412 computations (24.4% saved)

Pareto

-0.0594846879217627

Details

analyze537.0ms (8.5%)

sample30.0ms (0.5%)

simplify174.0ms (2.8%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series360.0ms (5.7%)

simplify125.0ms (2%)

prune80.0ms (1.3%)

localize12.0ms (0.2%)

rewrite20.0ms (0.3%)

series363.0ms (5.8%)

simplify159.0ms (2.5%)

prune50.0ms (0.8%)

localize16.0ms (0.3%)

rewrite47.0ms (0.7%)

series766.0ms (12.2%)

simplify77.0ms (1.2%)

prune175.0ms (2.8%)

localize15.0ms (0.2%)

rewrite65.0ms (1%)

series424.0ms (6.7%)

simplify185.0ms (2.9%)

prune157.0ms (2.5%)

simplify8.0ms (0.1%)

regimes151.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (35.8%)

Profiling