Details

analyze592.0ms (5.1%)

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)

sample61.0ms (0.5%)

Algorithm

1×

intervals

Results

42.0ms	241×	body	256	valid
3.0ms	40×	body	128	nan
1.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify238.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (0.1%)

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

37.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(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))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite147.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

32.8b

Rules

14×	`add-sqr-sqrt_binary64_3510`
11×	`cbrt-prod_binary64_3519`
10×	`*-un-lft-identity_binary64_3488`
9×	`sqrt-prod_binary64_3504`
8×	`add-cube-cbrt_binary64_3523`
6×	`pow1_binary64_3549` `times-frac_binary64_3494`
4×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-div_binary64_3505` `difference-of-squares_binary64_3457`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `flip3--_binary64_3492` `flip--_binary64_3463` `rem-sqrt-square_binary64_3501` `pow1/3_binary64_3570` `cbrt-div_binary64_3520`
1×	`associate-*l/_binary64_3431` `distribute-lft-out--_binary64_3440` `div-inv_binary64_3485`

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)

series1.1s (9.5%)

Error

32.7b

Counts

4 → 45

Calls

4 calls:

467.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
390.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
80.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
78.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4545 to 3269 computations (28.1% saved)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5100	2577

prune202.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	90	16	106
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	92	16	108

Error

32.3b

Counts

108 → 16

Compiler

Compiled 4625 to 1840 computations (60.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
8.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite120.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

31.8b

Rules

14×	`add-sqr-sqrt_binary64_3510`
10×	`*-un-lft-identity_binary64_3488` `cbrt-prod_binary64_3519`
9×	`sqrt-prod_binary64_3504`
8×	`add-cube-cbrt_binary64_3523`
6×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `times-frac_binary64_3494`
5×	`difference-of-squares_binary64_3457`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-div_binary64_3505`
3×	`flip3--_binary64_3492` `flip--_binary64_3463`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`pow1/3_binary64_3570` `cbrt-div_binary64_3520` `distribute-lft-out--_binary64_3440` `div-inv_binary64_3485` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

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	(-.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)

series819.0ms (7.1%)

Error

31.5b

Counts

4 → 48

Calls

4 calls:

487.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
102.0ms	(-.f64 (.f64 g g) (.f64 h h))
77.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4521 to 3180 computations (29.7% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5219	2386

prune192.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	110	18	128

Error

31.4b

Counts

128 → 18

Compiler

Compiled 4972 to 1999 computations (59.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.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))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite108.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

8×	`add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504`
6×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-div_binary64_3505`
3×	`flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-squares_binary64_3457`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`pow1/3_binary64_3570` `associate-*l/_binary64_3431` `cbrt-div_binary64_3520` `cbrt-prod_binary64_3519` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

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))
7.0ms	(-.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 2250 to 691 computations (69.3% saved)

series709.0ms (6.2%)

Error

31.4b

Counts

4 → 45

Calls

4 calls:

381.0ms	(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))
80.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
73.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3981 to 2758 computations (30.7% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5129	1603

prune166.0ms (1.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	101	17	118

Error

31.3b

Counts

118 → 17

Compiler

Compiled 4231 to 1673 computations (60.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.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))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.4b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite108.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.3b

Rules

8×	`add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504`
6×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-div_binary64_3505`
3×	`flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-squares_binary64_3457`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`pow1/3_binary64_3570` `associate-*l/_binary64_3431` `cbrt-div_binary64_3520` `cbrt-prod_binary64_3519` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

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)))
5.0ms	(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)

series719.0ms (6.3%)

Error

31.3b

Counts

4 → 45

Calls

4 calls:

373.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
114.0ms	(-.f64 (.f64 g g) (.f64 h h))
84.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
83.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3981 to 2758 computations (30.7% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5129	1603

prune140.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	99	18	117

Error

31.3b

Counts

117 → 18

Compiler

Compiled 3558 to 1286 computations (63.9% saved)

regimes1.8s (15.4%)

Accuracy

Total 0.9b remaining (2.9%)

Threshold costs 0.9b (2.9%)

Compiler

Compiled 23146 to 14082 computations (39.2% saved)

bsearch82.0ms (0.7%)

Steps

Iters	Range		Point
8	7.975356864476847e-168	3.1968596661180255e-164	3.156296156799957e-164

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	131
1	81	131

end0.0ms (0%)

sample3.9s (34.2%)

Algorithm

1×

intervals

Results

1.3s	7574×	body	256	valid
110.0ms	1259×	body	128	nan
36.0ms	426×	body	128	valid

Compiler

Compiled 3413 to 2063 computations (39.6% saved)

Details

analyze592.0ms (5.1%)

sample61.0ms (0.5%)

simplify238.0ms (2.1%)

prune6.0ms (0.1%)

localize17.0ms (0.1%)

rewrite147.0ms (1.3%)

series1.1s (9.5%)

simplify49.0ms (0.4%)

prune202.0ms (1.8%)

localize17.0ms (0.2%)

rewrite120.0ms (1%)

series819.0ms (7.1%)

simplify47.0ms (0.4%)

prune192.0ms (1.7%)

localize17.0ms (0.2%)

rewrite108.0ms (0.9%)

series709.0ms (6.2%)

simplify62.0ms (0.5%)

prune166.0ms (1.4%)

localize20.0ms (0.2%)

rewrite108.0ms (0.9%)

series719.0ms (6.3%)

simplify62.0ms (0.5%)

prune140.0ms (1.2%)

regimes1.8s (15.4%)

bsearch82.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.9s (34.2%)

Profiling