Details

analyze892.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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
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)

sample47.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	37×	body	2048	valid
10.0ms	168×	body	128	valid
7.0ms	32×	body	1024	valid
2.0ms	5×	body	4096	valid
2.0ms	10×	body	512	valid
1.0ms	20×	body	128	nan
0.0ms	6×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify348.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (343.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

33.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite180.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

33.5b

Rules

21×	`add-sqr-sqrt_binary64_4192`
14×	`*-un-lft-identity_binary64_4170`
9×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`
6×	`sqrt-prod_binary64_4186` `difference-of-squares_binary64_4139` `times-frac_binary64_4176` `associate-/l*_binary64_4115`
5×	`pow1_binary64_4231`
4×	`flip3--_binary64_4174` `flip--_binary64_4145` `cancel-sign-sub-inv_binary64_4136`
3×	`distribute-lft-out--_binary64_4122`
2×	`sqrt-div_binary64_4187` `diff-log_binary64_4262` `sub-neg_binary64_4163` `div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117`
1×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/r*_binary64_4114`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series867.0ms (5.8%)

Error

6.5b

Counts

4 → 71

Calls

4 calls:

274.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
206.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
170.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
150.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3200 to 2440 computations (23.8% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5196	2961

prune197.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	137	8	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	9	146

Error

6.5b

Counts

146 → 9

Compiler

Compiled 3017 to 1627 computations (46.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
0.8b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

12×	`add-sqr-sqrt_binary64_4192`
10×	`pow1_binary64_4231`
9×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `*-un-lft-identity_binary64_4170`
8×	`add-log-exp_binary64_4209`
7×	`add-cube-cbrt_binary64_4205`
4×	`sqrt-prod_binary64_4186` `cancel-sign-sub-inv_binary64_4136`
3×	`flip3--_binary64_4174` `flip--_binary64_4145` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-l_binary64_4111`
2×	`sqrt-div_binary64_4187` `diff-log_binary64_4262` `sub-neg_binary64_4163` `difference-of-squares_binary64_4139`
1×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `distribute-lft-out--_binary64_4122` `associate-r_binary64_4110` `*-commutative_binary64_4101`

Counts

4 → 62

Calls

4 calls:

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

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series640.0ms (4.2%)

Error

6.5b

Counts

4 → 60

Calls

4 calls:

183.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
172.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
165.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
58.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2705 to 2039 computations (24.6% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4933	1909
1	4933	1909

prune151.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	122	9	131

Error

6.3b

Counts

131 → 9

Compiler

Compiled 2430 to 1321 computations (45.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
2.8b	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
9.4b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite699.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

274×	`times-frac_binary64_4176`
140×	`*-un-lft-identity_binary64_4170`
111×	`add-sqr-sqrt_binary64_4192`
110×	`add-cube-cbrt_binary64_4205`
35×	`associate-/l*_binary64_4115`
33×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
26×	`associate-/r/_binary64_4116`
18×	`div-inv_binary64_4167`
15×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `distribute-lft-out_binary64_4121`
14×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
7×	`associate-/r*_binary64_4114`
6×	`add-log-exp_binary64_4209` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
5×	`pow1_binary64_4231`
3×	`sqrt-prod_binary64_4186`
2×	`sqrt-div_binary64_4187` `frac-2neg_binary64_4181` `clear-num_binary64_4169`
1×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `flip3--_binary64_4174` `flip--_binary64_4145` `rem-sqrt-square_binary64_4183` `associate-/l/_binary64_4117` `sum-log_binary64_4261` `+-commutative_binary64_4100`

Counts

4 → 214

Calls

4 calls:

40.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
14.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
9.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 9294 to 5213 computations (43.9% saved)

series1.0s (6.7%)

Error

6.3b

Counts

4 → 71

Calls

4 calls:

324.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
267.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
203.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4250 to 3087 computations (27.4% saved)

simplify213.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4935	11399
1	4935	11399

prune589.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	285	9	294

Error

6.3b

Counts

294 → 9

Compiler

Compiled 9662 to 5375 computations (44.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
2.8b	(/.f64 (/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (neg.f64 a))
9.5b	(/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))))
23.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite410.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

82×	`times-frac_binary64_4176`
54×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
42×	`*-un-lft-identity_binary64_4170`
41×	`add-sqr-sqrt_binary64_4192`
40×	`add-cube-cbrt_binary64_4205`
24×	`associate-*r/_binary64_4112` `associate-/r/_binary64_4116` `distribute-rgt-neg-in_binary64_4128` `distribute-lft-neg-in_binary64_4127`
19×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204`
18×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
13×	`div-inv_binary64_4167` `flip3-+_binary64_4173` `flip-+_binary64_4144`
11×	`associate-/r*_binary64_4114`
8×	`associate-/l*_binary64_4115` `neg-mul-1_binary64_4166`
6×	`add-log-exp_binary64_4209`
5×	`pow1_binary64_4231`
3×	`sqrt-prod_binary64_4186`
2×	`sqrt-div_binary64_4187` `frac-2neg_binary64_4181` `clear-num_binary64_4169`
1×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `flip3--_binary64_4174` `flip--_binary64_4145` `rem-sqrt-square_binary64_4183` `associate-/l/_binary64_4117` `sum-log_binary64_4261` `distribute-lft-out_binary64_4121` `+-commutative_binary64_4100`

Counts

4 → 166

Calls

4 calls:

23.0ms	(/.f64 (/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (neg.f64 a))
20.0ms	(/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 7034 to 3475 computations (50.6% saved)

series1.1s (7%)

Error

6.3b

Counts

4 → 71

Calls

4 calls:

306.0ms	(/.f64 (/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))) (neg.f64 a))
280.0ms	(/.f64 (.f64 3 (.f64 a c)) (.f64 3 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))))
217.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
171.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4239 to 2949 computations (30.4% saved)

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4950	7966
1	4950	7966

prune394.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	237	9	246

Error

6.3b

Counts

246 → 9

Compiler

Compiled 6738 to 2964 computations (56% saved)

regimes2.8s (18.8%)

Accuracy

Total 1.3b remaining (17.9%)

Threshold costs 0b (0%)

Compiler

Compiled 12540 to 9659 computations (23% saved)

bsearch97.0ms (0.6%)

Steps

Iters	Range	Point
8	1.872563389656449e+125	2.789641339646023e+129	7.877237009026803e+126
5	4.981881698856262e-297	1.1970879656867387e-296	8.03613068826263e-297
5	-9.954154286899505e+123	-2.9088955915040037e+123	-6.861638225360705e+123

Iters

Range

Point

1.872563389656449e+125

2.789641339646023e+129

7.877237009026803e+126

4.981881698856262e-297

1.1970879656867387e-296

8.03613068826263e-297

-9.954154286899505e+123

-2.9088955915040037e+123

-6.861638225360705e+123

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	89
1	96	89

end0.0ms (0%)

sample4.0s (26.3%)

Algorithm

1×

intervals

Results

349.0ms	1132×	body	2048	valid
340.0ms	5204×	body	128	valid
194.0ms	764×	body	1024	valid
149.0ms	378×	body	4096	valid
64.0ms	342×	body	512	valid
42.0ms	702×	body	128	nan
24.0ms	391×	body	128	invalid
22.0ms	180×	body	256	valid

Compiler

Compiled 2405 to 1854 computations (22.9% saved)

Details

analyze892.0ms (5.9%)

sample47.0ms (0.3%)

simplify348.0ms (2.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite180.0ms (1.2%)

series867.0ms (5.8%)

simplify57.0ms (0.4%)

prune197.0ms (1.3%)

localize14.0ms (0.1%)

rewrite96.0ms (0.6%)

series640.0ms (4.2%)

simplify106.0ms (0.7%)

prune151.0ms (1%)

localize17.0ms (0.1%)

rewrite699.0ms (4.6%)

series1.0s (6.7%)

simplify213.0ms (1.4%)

prune589.0ms (3.9%)

localize13.0ms (0.1%)

rewrite410.0ms (2.7%)

series1.1s (7%)

simplify151.0ms (1%)

prune394.0ms (2.6%)

regimes2.8s (18.8%)

bsearch97.0ms (0.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.0s (26.3%)

Profiling