Details

analyze1.2s (7.3%)

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)

sample107.0ms (0.6%)

Algorithm

1×

intervals

Results

75.0ms	246×	body	256	valid
6.0ms	38×	body	128	nan
2.0ms	10×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify425.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (409.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune12.0ms (0.1%)

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

35.6b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.2b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite412.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

32.1b

Rules

14×	`add-sqr-sqrt_binary64_2828`
11×	`cbrt-prod_binary64_2837`
10×	`*-un-lft-identity_binary64_2806`
9×	`sqrt-prod_binary64_2822`
8×	`add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867` `times-frac_binary64_2812`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `flip3--_binary64_2810` `flip--_binary64_2781` `rem-sqrt-square_binary64_2819` `pow1/3_binary64_2888` `cbrt-div_binary64_2838`
1×	`associate-*l/_binary64_2749` `distribute-lft-out--_binary64_2758` `div-inv_binary64_2803`

Counts

4 → 61

Calls

4 calls:

15.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
15.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2345 to 702 computations (70.1% saved)

series1.9s (11.4%)

Error

32.2b

Counts

4 → 41

Calls

4 calls:

781.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
670.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
173.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
150.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4173 to 3050 computations (26.9% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4974	2398
1	4974	2398

prune268.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	87	15	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	15	104

Error

31.5b

Counts

104 → 15

Compiler

Compiled 3884 to 1591 computations (59% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite291.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`pow1/3_binary64_2888` `associate-*l/_binary64_2749` `cbrt-div_binary64_2838` `cbrt-prod_binary64_2837` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`

Counts

4 → 55

Calls

4 calls:

8.0ms	(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 2323 to 834 computations (64.1% saved)

series1.3s (8%)

Error

31.1b

Counts

4 → 44

Calls

4 calls:

792.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
168.0ms	(-.f64 (.f64 g g) (.f64 h h))
110.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
98.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4134 to 3094 computations (25.2% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5079	1812

prune385.0ms (2.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	96	18	114

Error

31.1b

Counts

114 → 18

Compiler

Compiled 3823 to 1793 computations (53.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite296.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

Rules

8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`pow1/3_binary64_2888` `associate-*l/_binary64_2749` `cbrt-div_binary64_2838` `cbrt-prod_binary64_2837` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`

Counts

4 → 55

Calls

4 calls:

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

Compiler

Compiled 2164 to 675 computations (68.8% saved)

series1.3s (7.7%)

Error

31.1b

Counts

4 → 44

Calls

4 calls:

764.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
148.0ms	(-.f64 (.f64 g g) (.f64 h h))
108.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
92.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3834 to 2794 computations (27.1% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5079	1812

prune591.0ms (3.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	99	18	117

Error

31.1b

Counts

117 → 18

Compiler

Compiled 3594 to 1559 computations (56.6% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.2b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite621.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

31.1b

Rules

14×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806` `cbrt-prod_binary64_2837`
9×	`sqrt-prod_binary64_2822`
8×	`add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `times-frac_binary64_2812`
5×	`difference-of-squares_binary64_2775`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
3×	`flip3--_binary64_2810` `flip--_binary64_2781`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`pow1/3_binary64_2888` `cbrt-div_binary64_2838` `distribute-lft-out--_binary64_2758` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`

Counts

4 → 64

Calls

4 calls:

17.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2684 to 996 computations (62.9% saved)

series1.1s (6.9%)

Error

31.1b

Counts

4 → 41

Calls

4 calls:

654.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
149.0ms	(-.f64 (.f64 g g) (.f64 h h))
108.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
94.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3639 to 2714 computations (25.4% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4900	1863
1	4900	1863

prune343.0ms (2.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	106	17	123

Error

31.0b

Counts

123 → 17

Compiler

Compiled 3099 to 1317 computations (57.5% saved)

regimes3.3s (19.9%)

Accuracy

Total 2.3b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 41066 to 25772 computations (37.2% saved)

bsearch12.0ms (0.1%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	117
1	101	117

end3.0ms (0%)

Compiler: Compiled 75 to 40 computations (46.7% saved)

sample2.2s (13.4%)

Algorithm

1×

intervals

Results

1.2s	7565×	body	256	valid
105.0ms	1268×	body	128	nan
35.0ms	435×	body	128	valid

Compiler

Compiled 744 to 472 computations (36.6% saved)

Details

analyze1.2s (7.3%)

sample107.0ms (0.6%)

simplify425.0ms (2.6%)

prune12.0ms (0.1%)

localize37.0ms (0.2%)

rewrite412.0ms (2.5%)

series1.9s (11.4%)

simplify63.0ms (0.4%)

prune268.0ms (1.6%)

localize25.0ms (0.2%)

rewrite291.0ms (1.8%)

series1.3s (8%)

simplify56.0ms (0.3%)

prune385.0ms (2.3%)

localize22.0ms (0.1%)

rewrite296.0ms (1.8%)

series1.3s (7.7%)

simplify58.0ms (0.4%)

prune591.0ms (3.6%)

localize44.0ms (0.3%)

rewrite621.0ms (3.8%)

series1.1s (6.9%)

simplify102.0ms (0.6%)

prune343.0ms (2.1%)

regimes3.3s (19.9%)

bsearch12.0ms (0.1%)

simplify4.0ms (0%)

end3.0ms (0%)

sample2.2s (13.4%)

Profiling