Details

analyze466.0ms (5.6%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	2048	valid
8.0ms	163×	body	128	valid
7.0ms	26×	body	1024	valid
4.0ms	12×	body	4096	valid
2.0ms	11×	body	512	valid
1.0ms	16×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify373.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0.1%)

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

33.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
20.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_5215`
10×	`pow1_binary64_5254`
9×	`add-cbrt-cube_binary64_5229` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231`
8×	`add-log-exp_binary64_5232`
7×	`add-cube-cbrt_binary64_5228`
4×	`cancel-sign-sub-inv_binary64_5159` `sqrt-prod_binary64_5209`
3×	`flip3--_binary64_5197` `pow-prod-down_binary64_5264` `flip--_binary64_5168` `associate-r_binary64_5133` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
2×	`sqrt-div_binary64_5210` `sub-neg_binary64_5186` `difference-of-squares_binary64_5162` `diff-log_binary64_5285`
1×	`distribute-lft-out--_binary64_5145` `associate-l_binary64_5134` `pow1/2_binary64_5273` `*-commutative_binary64_5124` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206`

Counts

4 → 62

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series489.0ms (5.9%)

Counts

4 → 58

Calls

4 calls:

157.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
148.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
127.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
56.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1748 to 1471 computations (15.8% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5017	1804

prune131.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Error

9.3b

Counts

121 → 10

Compiler

Compiled 2451 to 1427 computations (41.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
2.8b	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
8.6b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
20.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
22×	`times-frac_binary64_5199`
21×	`*-un-lft-identity_binary64_5193`
17×	`cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
13×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
12×	`add-sqr-sqrt_binary64_5215`
11×	`add-cube-cbrt_binary64_5228` `associate-/l*_binary64_5138`
6×	`add-log-exp_binary64_5232` `associate-/r/_binary64_5139`
5×	`distribute-lft-out_binary64_5144` `associate-/r*_binary64_5137` `pow1_binary64_5254`
4×	`flip-+_binary64_5167` `div-inv_binary64_5190` `flip3-+_binary64_5196`
3×	`sqrt-prod_binary64_5209`
2×	`sqrt-div_binary64_5210` `clear-num_binary64_5192` `frac-2neg_binary64_5204`
1×	`flip3--_binary64_5197` `flip--_binary64_5168` `sum-log_binary64_5284` `pow1/2_binary64_5273` `+-commutative_binary64_5123` `sqrt-pow1_binary64_5211` `associate-/l/_binary64_5140` `rem-sqrt-square_binary64_5206`

Counts

4 → 102

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
11.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series817.0ms (9.9%)

Counts

4 → 67

Calls

4 calls:

265.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
241.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
170.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
141.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2791 to 2205 computations (21% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5383	4191

prune222.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	5	3	8
Picked	1	0	1
Done	1	0	1
Total	168	11	179

Error

5.5b

Counts

179 → 11

Compiler

Compiled 4439 to 2641 computations (40.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
20.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_5231`
13×	`add-cbrt-cube_binary64_5229`
9×	`*-un-lft-identity_binary64_5193` `div-exp_binary64_5244`
8×	`add-log-exp_binary64_5232` `add-sqr-sqrt_binary64_5215` `pow1_binary64_5254`
7×	`add-cube-cbrt_binary64_5228`
6×	`prod-exp_binary64_5242`
5×	`associate-/r/_binary64_5139`
4×	`cbrt-undiv_binary64_5227`
3×	`associate-/l*_binary64_5138` `flip-+_binary64_5167` `flip3-+_binary64_5196` `1-exp_binary64_5237` `times-frac_binary64_5199` `rec-exp_binary64_5243` `sqrt-prod_binary64_5209`
2×	`flip3--_binary64_5197` `sqrt-div_binary64_5210` `flip--_binary64_5168` `associate-*l/_binary64_5136` `frac-times_binary64_5203` `pow-flip_binary64_5267` `cbrt-unprod_binary64_5226`
1×	`pow-prod-down_binary64_5264` `sub-neg_binary64_5186` `sum-log_binary64_5284` `pow1/2_binary64_5273` `cancel-sign-sub-inv_binary64_5159` `distribute-lft-out_binary64_5144` `div-inv_binary64_5190` `clear-num_binary64_5192` `+-commutative_binary64_5123` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `diff-log_binary64_5285` `associate-r/_binary64_5135` `associate-/r_binary64_5137` `inv-pow_binary64_5278` `frac-2neg_binary64_5204`

Counts

4 → 76

Calls

4 calls:

12.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series703.0ms (8.5%)

Counts

4 → 70

Calls

4 calls:

249.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
159.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
155.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
140.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2321 to 1955 computations (15.8% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5005	2693

prune146.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	147	10	157

Error

5.5b

Counts

157 → 10

Compiler

Compiled 3023 to 1798 computations (40.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
20.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_5254`
9×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
8×	`add-log-exp_binary64_5232` `*-un-lft-identity_binary64_5193`
7×	`add-sqr-sqrt_binary64_5215`
6×	`add-cube-cbrt_binary64_5228`
3×	`pow-prod-down_binary64_5264` `associate-r_binary64_5133` `prod-exp_binary64_5242` `sqrt-prod_binary64_5209` `cbrt-unprod_binary64_5226`
2×	`flip3--_binary64_5197` `sqrt-div_binary64_5210` `flip--_binary64_5168`
1×	`associate-l_binary64_5134` `sub-neg_binary64_5186` `sum-log_binary64_5284` `flip-+_binary64_5167` `pow1/2_binary64_5273` `*-commutative_binary64_5124` `cancel-sign-sub-inv_binary64_5159` `distribute-lft-out_binary64_5144` `+-commutative_binary64_5123` `sqrt-pow1_binary64_5211` `flip3-+_binary64_5196` `rem-sqrt-square_binary64_5206` `diff-log_binary64_5285`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series479.0ms (5.8%)

Counts

4 → 60

Calls

4 calls:

151.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
149.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
125.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
53.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1780 to 1499 computations (15.8% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4955	1739
1	4955	1739

prune97.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	116	11	127

Error

5.5b

Counts

127 → 11

Compiler

Compiled 2157 to 1227 computations (43.1% saved)

regimes1.2s (14.7%)

Accuracy

Total 1.5b remaining (22%)

Threshold costs 0b (0%)

Compiler

Compiled 9056 to 6975 computations (23% saved)

bsearch88.0ms (1.1%)

Steps

Iters	Range	Point
6	4.4420423504867e+51	5.333448875199296e+52	5.197649067580201e+52
9	-7.781163719695102e-174	-7.059548880478772e-183	-2.3801565570057447e-178
9	-3.6493382814159637e+115	-3.2834891777321755e+109	-2.991777674964526e+115

Iters

Range

Point

4.4420423504867e+51

5.333448875199296e+52

5.197649067580201e+52

-7.781163719695102e-174

-7.059548880478772e-183

-2.3801565570057447e-178

-3.6493382814159637e+115

-3.2834891777321755e+109

-2.991777674964526e+115

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	115	83
1	115	83

end0.0ms (0%)

sample2.6s (31.1%)

Algorithm

1×

intervals

Results

289.0ms	1141×	body	2048	valid
279.0ms	5251×	body	128	valid
146.0ms	708×	body	1024	valid
115.0ms	365×	body	4096	valid
53.0ms	365×	body	512	valid
35.0ms	609×	body	128	nan
21.0ms	403×	body	128	invalid
19.0ms	170×	body	256	valid

Compiler

Compiled 1749 to 1339 computations (23.4% saved)

Details

analyze466.0ms (5.6%)

sample41.0ms (0.5%)

simplify373.0ms (4.5%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite29.0ms (0.3%)

series489.0ms (5.9%)

simplify53.0ms (0.6%)

prune131.0ms (1.6%)

localize13.0ms (0.2%)

rewrite45.0ms (0.5%)

series817.0ms (9.9%)

simplify69.0ms (0.8%)

prune222.0ms (2.7%)

localize15.0ms (0.2%)

rewrite32.0ms (0.4%)

series703.0ms (8.5%)

simplify49.0ms (0.6%)

prune146.0ms (1.8%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series479.0ms (5.8%)

simplify70.0ms (0.8%)

prune97.0ms (1.2%)

regimes1.2s (14.7%)

bsearch88.0ms (1.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.6s (31.1%)

Profiling