Details

analyze601.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
0	3	3
1	3	3

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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample62.0ms (0.5%)

Algorithm

1×

intervals

Results

43.0ms	241×	body	256	valid
3.0ms	38×	body	128	nan
1.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify237.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite142.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

32.2b

Rules

14×	`add-sqr-sqrt_binary64_3169`
11×	`cbrt-prod_binary64_3178`
10×	`*-un-lft-identity_binary64_3147`
9×	`sqrt-prod_binary64_3163`
8×	`add-cube-cbrt_binary64_3182`
6×	`pow1_binary64_3208` `times-frac_binary64_3153`
4×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `flip3--_binary64_3151` `flip--_binary64_3122` `rem-sqrt-square_binary64_3160` `pow1/3_binary64_3229` `cbrt-div_binary64_3179`
1×	`distribute-lft-out--_binary64_3099` `div-inv_binary64_3144` `associate-*l/_binary64_3090`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2510 to 735 computations (70.7% saved)

series1.4s (11.1%)

Error

32.2b

Counts

4 → 38

Calls

4 calls:

486.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
472.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
265.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
66.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4208 to 3090 computations (26.6% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5179	2339

prune207.0ms (1.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	76	23	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	24	101

Error

32.0b

Counts

101 → 24

Compiler

Compiled 4646 to 1924 computations (58.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (.f64 g g) (.f64 h h))
6.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite106.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

32.0b

Rules

8×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164`
3×	`flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`
1×	`pow1/3_binary64_3229` `associate-*l/_binary64_3090` `cbrt-div_binary64_3179` `cbrt-prod_binary64_3178` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2250 to 691 computations (69.3% saved)

series770.0ms (6.3%)

Error

31.6b

Counts

4 → 39

Calls

4 calls:

458.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
111.0ms	(-.f64 (.f64 g g) (.f64 h h))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
66.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3809 to 2704 computations (29% saved)

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4923	1511
1	4923	1511

prune169.0ms (1.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	95	23	118

Error

31.5b

Counts

118 → 23

Compiler

Compiled 4243 to 1706 computations (59.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (.f64 g g) (.f64 h h))
6.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite103.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

8×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164`
3×	`flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`
1×	`pow1/3_binary64_3229` `associate-*l/_binary64_3090` `cbrt-div_binary64_3179` `cbrt-prod_binary64_3178` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2250 to 691 computations (69.3% saved)

series762.0ms (6.2%)

Error

31.5b

Counts

4 → 39

Calls

4 calls:

465.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
105.0ms	(-.f64 (.f64 g g) (.f64 h h))
67.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3809 to 2704 computations (29% saved)

simplify124.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4923	1511
1	4923	1511

prune159.0ms (1.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	95	22	117

Error

31.5b

Counts

117 → 22

Compiler

Compiled 4203 to 1686 computations (59.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite133.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

16×	`sqrt-prod_binary64_3163`
12×	`add-sqr-sqrt_binary64_3169`
8×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `sqrt-div_binary64_3164` `*-un-lft-identity_binary64_3147`
4×	`pow1/2_binary64_3227` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-pow1_binary64_3165` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116` `rem-sqrt-square_binary64_3160`

Counts

4 → 64

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4228 to 784 computations (81.5% saved)

series385.0ms (3.1%)

Error

31.5b

Counts

4 → 38

Calls

4 calls:

85.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
84.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
81.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5832 to 2562 computations (56.1% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5066	1378

prune164.0ms (1.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	101	23	124

Error

31.5b

Counts

124 → 23

Compiler

Compiled 6136 to 1338 computations (78.2% saved)

regimes1.8s (15.1%)

Accuracy

Total 1.4b remaining (4.3%)

Threshold costs 0b (0%)

Compiler

Compiled 30426 to 18401 computations (39.5% saved)

bsearch127.0ms (1%)

Steps

Iters	Range		Point
10	-5.114957751102552e-202	-2.4610623477930208e-214	-2.4981633610647653e-214

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	97
1	72	97

end0.0ms (0%)

sample4.5s (36.7%)

Algorithm

1×

intervals

Results

1.3s	7542×	body	256	valid
106.0ms	1198×	body	128	nan
39.0ms	458×	body	128	valid

Compiler

Compiled 4432 to 2676 computations (39.6% saved)

Details

analyze601.0ms (4.9%)

sample62.0ms (0.5%)

simplify237.0ms (1.9%)

prune6.0ms (0%)

localize16.0ms (0.1%)

rewrite142.0ms (1.2%)

series1.4s (11.1%)

simplify48.0ms (0.4%)

prune207.0ms (1.7%)

localize21.0ms (0.2%)

rewrite106.0ms (0.9%)

series770.0ms (6.3%)

simplify122.0ms (1%)

prune169.0ms (1.4%)

localize18.0ms (0.1%)

rewrite103.0ms (0.8%)

series762.0ms (6.2%)

simplify124.0ms (1%)

prune159.0ms (1.3%)

localize27.0ms (0.2%)

rewrite133.0ms (1.1%)

series385.0ms (3.1%)

simplify55.0ms (0.5%)

prune164.0ms (1.3%)

regimes1.8s (15.1%)

bsearch127.0ms (1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.5s (36.7%)

Profiling