Details

analyze679.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample43.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	38×	body	2048	valid
9.0ms	169×	body	128	valid
5.0ms	15×	body	4096	valid
3.0ms	18×	body	1024	valid
2.0ms	12×	body	512	valid
1.0ms	24×	body	128	nan
1.0ms	13×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify329.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (323.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite156.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.6b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `difference-of-squares_binary64_47` `times-frac_binary64_84` `associate-/l*_binary64_23`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series658.0ms (5.2%)

Error

4.3b

Counts

4 → 66

Calls

4 calls:

185.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
147.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
135.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5453	2668

prune150.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	129	11	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	12	141

Error

4.2b

Counts

141 → 12

Compiler

Compiled 2850 to 1520 computations (46.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

28×	`add-sqr-sqrt_binary64_100`
18×	`*-un-lft-identity_binary64_78`
14×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`times-frac_binary64_84`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
7×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
5×	`flip3--_binary64_82` `flip--_binary64_53` `sqrt-prod_binary64_94`
4×	`difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `unswap-sqr_binary64_46` `associate-*l/_binary64_21`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series672.0ms (5.3%)

Error

4.2b

Counts

4 → 66

Calls

4 calls:

191.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
164.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5157	2914

prune147.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	148	13	161

Error

4.2b

Counts

161 → 13

Compiler

Compiled 3093 to 1660 computations (46.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite993.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

693×	`times-frac_binary64_84`
439×	`add-sqr-sqrt_binary64_100`
364×	`*-un-lft-identity_binary64_78`
290×	`add-cube-cbrt_binary64_113`
74×	`difference-of-squares_binary64_47`
71×	`associate-/r*_binary64_22`
40×	`sqrt-prod_binary64_94`
37×	`distribute-lft-out--_binary64_30`
25×	`add-exp-log_binary64_116`
17×	`div-inv_binary64_75`
15×	`div-exp_binary64_129`
13×	`add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112`
5×	`associate-/r/_binary64_24`
4×	`cancel-sign-sub-inv_binary64_44`
3×	`flip3--_binary64_82` `flip--_binary64_53` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-/l*_binary64_23`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 356

Calls

4 calls:

25.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series708.0ms (5.5%)

Error

4.2b

Counts

4 → 66

Calls

4 calls:

195.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
169.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3119 to 2440 computations (21.8% saved)

simplify208.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

422 → 422

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4969	16975
1	4969	16975

prune775.0ms (6.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	420	2	422
Fresh	2	8	10
Picked	1	0	1
Done	0	2	2
Total	423	12	435

Error

4.2b

Counts

435 → 12

Compiler

Compiled 13575 to 7527 computations (44.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) (sqrt.f64 2))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.0b	(/.f64 1 (sqrt.f64 2))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite293.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

75×	`add-sqr-sqrt_binary64_100`
58×	`*-un-lft-identity_binary64_78`
54×	`times-frac_binary64_84`
44×	`sqrt-prod_binary64_94`
42×	`add-cube-cbrt_binary64_113`
16×	`difference-of-squares_binary64_47`
12×	`associate-/r*_binary64_22`
10×	`add-exp-log_binary64_116`
9×	`associate-/l*_binary64_23`
8×	`add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117`
3×	`flip3--_binary64_82` `flip--_binary64_53` `pow-flip_binary64_152` `div-exp_binary64_129` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `sqrt-div_binary64_95` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`rem-sqrt-square_binary64_91` `inv-pow_binary64_163` `1-exp_binary64_122` `rec-exp_binary64_128` `diff-log_binary64_170` `sub-neg_binary64_71` `div-sub_binary64_83`

Counts

4 → 140

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) (sqrt.f64 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 4744 to 3095 computations (34.8% saved)

series574.0ms (4.5%)

Error

4.2b

Counts

4 → 48

Calls

4 calls:

210.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) (sqrt.f64 2))
160.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
0.0ms	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 3220 to 2645 computations (17.9% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5054	4438

prune299.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	188	12	200

Error

4.2b

Counts

200 → 12

Compiler

Compiled 5394 to 3486 computations (35.4% saved)

regimes1.7s (13.6%)

Accuracy

Total 4.5b remaining (43.6%)

Threshold costs 0b (0%)

Compiler

Compiled 11384 to 8766 computations (23% saved)

bsearch72.0ms (0.6%)

Steps

Iters	Range		Point
8	1.857635761061593e-58	2.6011802215562668e-54	3.996853827496981e-57
9	-6.868564257726456e+63	-6.90564727487699e+54	-6.676265206129343e+63

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample3.8s (30%)

Algorithm

1×

intervals

Results

285.0ms	1136×	body	2048	valid
281.0ms	5144×	body	128	valid
146.0ms	760×	body	1024	valid
133.0ms	418×	body	4096	valid
57.0ms	379×	body	512	valid
32.0ms	674×	body	128	nan
22.0ms	424×	body	128	invalid
16.0ms	163×	body	256	valid

Compiler

Compiled 2893 to 2224 computations (23.1% saved)

Details

analyze679.0ms (5.3%)

sample43.0ms (0.3%)

simplify329.0ms (2.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite156.0ms (1.2%)

series658.0ms (5.2%)

simplify72.0ms (0.6%)

prune150.0ms (1.2%)

localize10.0ms (0.1%)

rewrite149.0ms (1.2%)

series672.0ms (5.3%)

simplify77.0ms (0.6%)

prune147.0ms (1.2%)

localize15.0ms (0.1%)

rewrite993.0ms (7.8%)

series708.0ms (5.5%)

simplify208.0ms (1.6%)

prune775.0ms (6.1%)

localize14.0ms (0.1%)

rewrite293.0ms (2.3%)

series574.0ms (4.5%)

simplify87.0ms (0.7%)

prune299.0ms (2.3%)

regimes1.7s (13.6%)

bsearch72.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (30%)

Profiling