Details

analyze605.0ms (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

Symmetry

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample60.0ms (0.5%)

Algorithm

1×

intervals

Results

38.0ms	243×	body	256	valid
6.0ms	47×	body	128	nan
1.0ms	13×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify247.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

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

35.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

31.6b

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×	`associate-*l/_binary64_3090` `distribute-lft-out--_binary64_3099` `div-inv_binary64_3144`

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))
9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(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)

series1.3s (10.9%)

Error

30.8b

Counts

4 → 54

Calls

4 calls:

551.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
491.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
100.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
93.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5488 to 3965 computations (27.8% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5295	2961

prune246.0ms (2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	93	22	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	23	117

Error

31.4b

Counts

117 → 23

Compiler

Compiled 5284 to 2239 computations (57.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
8.4b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite129.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.8b

Rules

14×	`add-sqr-sqrt_binary64_3169`
10×	`*-un-lft-identity_binary64_3147` `cbrt-prod_binary64_3178`
9×	`sqrt-prod_binary64_3163`
8×	`add-cube-cbrt_binary64_3182`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `times-frac_binary64_3153`
5×	`difference-of-squares_binary64_3116`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164`
3×	`flip3--_binary64_3151` `flip--_binary64_3122`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`
1×	`pow1/3_binary64_3229` `cbrt-div_binary64_3179` `distribute-lft-out--_binary64_3099` `div-inv_binary64_3144` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 64

Calls

4 calls:

9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2673 to 825 computations (69.1% saved)

series883.0ms (7.2%)

Error

30.0b

Counts

4 → 51

Calls

4 calls:

497.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
106.0ms	(-.f64 (.f64 g g) (.f64 h h))
102.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
95.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4691 to 3276 computations (30.2% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4979	2298
1	4979	2298

prune211.0ms (1.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	114	24	138

Error

30.0b

Counts

138 → 24

Compiler

Compiled 5190 to 2131 computations (58.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
9.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite100.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

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))
5.0ms	(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)

series972.0ms (7.9%)

Error

29.9b

Counts

4 → 55

Calls

4 calls:

566.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
108.0ms	(-.f64 (.f64 g g) (.f64 h h))
101.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
100.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5115 to 3595 computations (29.7% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4952	2163
1	4952	2163

prune202.0ms (1.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	112	22	134

Error

29.8b

Counts

134 → 22

Compiler

Compiled 4936 to 2116 computations (57.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.6b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite119.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

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

Counts

4 → 58

Calls

4 calls:

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)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2584 to 948 computations (63.3% saved)

series525.0ms (4.3%)

Error

29.8b

Counts

4 → 52

Calls

4 calls:

120.0ms	(-.f64 (.f64 g g) (.f64 h h))
112.0ms	(-.f64 (.f64 g g) (.f64 h h))
103.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
99.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4682 to 3297 computations (29.6% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5196	1532

prune180.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	110	22	132

Error

29.8b

Counts

132 → 22

Compiler

Compiled 4344 to 1835 computations (57.8% saved)

regimes1.8s (14.4%)

Accuracy

Total 0.9b remaining (2.8%)

Threshold costs 0.9b (2.8%)

Compiler

Compiled 25232 to 16007 computations (36.6% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	119	216
1	119	216

Removed

()

end0.0ms (0%)

sample4.2s (34.3%)

Algorithm

1×

intervals

Results

1.2s	7570×	body	256	valid
101.0ms	1262×	body	128	nan
35.0ms	430×	body	128	valid

Compiler

Compiled 3766 to 2367 computations (37.1% saved)

Details

analyze605.0ms (4.9%)

sample60.0ms (0.5%)

simplify247.0ms (2%)

prune6.0ms (0%)

localize16.0ms (0.1%)

rewrite149.0ms (1.2%)

series1.3s (10.9%)

simplify58.0ms (0.5%)

prune246.0ms (2%)

localize19.0ms (0.2%)

rewrite129.0ms (1.1%)

series883.0ms (7.2%)

simplify51.0ms (0.4%)

prune211.0ms (1.7%)

localize18.0ms (0.1%)

rewrite100.0ms (0.8%)

series972.0ms (7.9%)

simplify66.0ms (0.5%)

prune202.0ms (1.6%)

localize22.0ms (0.2%)

rewrite119.0ms (1%)

series525.0ms (4.3%)

simplify65.0ms (0.5%)

prune180.0ms (1.5%)

regimes1.8s (14.4%)

bsearch11.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.2s (34.3%)

Profiling