Details

analyze403.0ms (3.9%)

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
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)

sample58.0ms (0.6%)

Algorithm

1×

intervals

Results

40.0ms	244×	body	256	valid
3.0ms	41×	body	128	nan
1.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify317.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (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

35.9b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.4b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite151.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

Rules

14×	`add-sqr-sqrt_binary64_4192`
11×	`cbrt-prod_binary64_4201`
10×	`*-un-lft-identity_binary64_4170`
9×	`sqrt-prod_binary64_4186`
8×	`add-cube-cbrt_binary64_4205`
6×	`pow1_binary64_4231` `times-frac_binary64_4176`
4×	`add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-div_binary64_4187` `difference-of-squares_binary64_4139`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `flip3--_binary64_4174` `flip--_binary64_4145` `rem-sqrt-square_binary64_4183` `pow1/3_binary64_4252` `cbrt-div_binary64_4202`
1×	`distribute-lft-out--_binary64_4122` `div-inv_binary64_4167` `associate-*l/_binary64_4113`

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)))
7.0ms	(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)

series1.1s (10.7%)

Error

29.9b

Counts

4 → 39

Calls

4 calls:

452.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
451.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4064 to 2950 computations (27.4% saved)

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4923	2066
1	4923	2066

prune183.0ms (1.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	83	17	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	18	102

Error

29.3b

Counts

102 → 18

Compiler

Compiled 4236 to 1604 computations (62.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
9.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite129.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

28.9b

Rules

14×	`add-sqr-sqrt_binary64_4192`
10×	`*-un-lft-identity_binary64_4170` `cbrt-prod_binary64_4201`
9×	`sqrt-prod_binary64_4186`
8×	`add-cube-cbrt_binary64_4205`
6×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `times-frac_binary64_4176`
5×	`difference-of-squares_binary64_4139`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-div_binary64_4187`
3×	`flip3--_binary64_4174` `flip--_binary64_4145`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`
1×	`pow1/3_binary64_4252` `cbrt-div_binary64_4202` `distribute-lft-out--_binary64_4122` `div-inv_binary64_4167` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

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)))
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 2673 to 825 computations (69.1% saved)

series765.0ms (7.4%)

Error

28.5b

Counts

4 → 40

Calls

4 calls:

455.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
111.0ms	(-.f64 (.f64 g g) (.f64 h h))
72.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3729 to 2618 computations (29.8% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4936	1808
1	4936	1808

prune176.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	102	20	122

Error

28.6b

Counts

122 → 20

Compiler

Compiled 4494 to 1732 computations (61.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
4.0b	(-.f64 (.f64 g g) (.f64 h h))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

Rules

8×	`add-log-exp_binary64_4209` `add-sqr-sqrt_binary64_4192` `sqrt-prod_binary64_4186`
6×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `flip3--_binary64_4174` `sqrt-div_binary64_4187` `flip--_binary64_4145` `difference-of-squares_binary64_4139`
2×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `diff-log_binary64_4262` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`

Counts

4 → 58

Calls

4 calls:

5.0ms	(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 2410 to 746 computations (69% saved)

series411.0ms (4%)

Error

28.6b

Counts

4 → 42

Calls

4 calls:

113.0ms	(-.f64 (.f64 g g) (.f64 h h))
101.0ms	(-.f64 (.f64 g g) (.f64 h h))
76.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
68.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3506 to 2371 computations (32.4% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4953	1192
1	4953	1192

prune156.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	100	20	120

Error

28.6b

Counts

120 → 20

Compiler

Compiled 4307 to 1674 computations (61.1% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite136.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

Rules

16×	`sqrt-prod_binary64_4186`
12×	`add-sqr-sqrt_binary64_4192`
8×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `sqrt-div_binary64_4187` `*-un-lft-identity_binary64_4170`
4×	`pow1/2_binary64_4250` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sqrt-pow1_binary64_4188` `flip3--_binary64_4174` `flip--_binary64_4145` `difference-of-squares_binary64_4139` `rem-sqrt-square_binary64_4183`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 4292 to 833 computations (80.6% saved)

series365.0ms (3.5%)

Error

28.6b

Counts

4 → 36

Calls

4 calls:

86.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
73.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5596 to 2472 computations (55.8% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4886	1292
1	4886	1292

prune161.0ms (1.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	99	21	120

Error

28.5b

Counts

120 → 21

Compiler

Compiled 6080 to 1353 computations (77.7% saved)

regimes1.5s (14.2%)

Accuracy

Total 1.8b remaining (5.7%)

Threshold costs 0b (0%)

Compiler

Compiled 24224 to 14481 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	52
1	51	52

end0.0ms (0%)

sample3.8s (36.8%)

Algorithm

1×

intervals

Results

1.2s	7546×	body	256	valid
97.0ms	1256×	body	128	nan
37.0ms	454×	body	128	valid

Compiler

Compiled 3517 to 2102 computations (40.2% saved)

Details

analyze403.0ms (3.9%)

sample58.0ms (0.6%)

simplify317.0ms (3.1%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite151.0ms (1.5%)

series1.1s (10.7%)

simplify138.0ms (1.3%)

prune183.0ms (1.8%)

localize18.0ms (0.2%)

rewrite129.0ms (1.2%)

series765.0ms (7.4%)

simplify72.0ms (0.7%)

prune176.0ms (1.7%)

localize19.0ms (0.2%)

rewrite102.0ms (1%)

series411.0ms (4%)

simplify50.0ms (0.5%)

prune156.0ms (1.5%)

localize28.0ms (0.3%)

rewrite136.0ms (1.3%)

series365.0ms (3.5%)

simplify108.0ms (1%)

prune161.0ms (1.6%)

regimes1.5s (14.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (36.8%)

Profiling