Details

analyze271.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample43.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	121×	body	256	valid
8.0ms	280×	pre	128	true
7.0ms	47×	body	512	valid
4.0ms	88×	body	128	valid
1.0ms	24×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify378.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

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

51.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
23.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070` `associate-/l*_binary64_1046` `times-frac_binary64_1107`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `sqrt-prod_binary64_1117` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-l_binary64_1042` `associate-/r_binary64_1045` `div-sub_binary64_1106`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series561.0ms (6.4%)

Counts

4 → 60

Calls

4 calls:

199.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
161.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
146.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
55.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune185.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

0.2b

Counts

138 → 8

Compiler

Compiled 3225 to 1891 computations (41.4% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
0.3b	(.f64 (pow.f64 c 3) (.f64 a a))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite67.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`add-exp-log_binary64_1139`
72×	`prod-exp_binary64_1150`
51×	`div-exp_binary64_1152`
49×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
40×	`add-sqr-sqrt_binary64_1123`
29×	`unpow-prod-down_binary64_1180`
25×	`add-cbrt-cube_binary64_1137`
24×	`associate-l_binary64_1042`
20×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
16×	`unswap-sqr_binary64_1069`
15×	`sqr-pow_binary64_1073`
14×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
10×	`cube-prod_binary64_1129`
8×	`cbrt-unprod_binary64_1134` `associate-r_binary64_1041`
5×	`cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
2×	`-commutative_binary64_1032` `cube-mult_binary64_1131` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `unpow3_binary64_1167`

Counts

4 → 188

Calls

4 calls:

10.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
8.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

series861.0ms (9.9%)

Counts

4 → 30

Calls

4 calls:

346.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
284.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
129.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
102.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

Compiler

Compiled 2700 to 2130 computations (21.1% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5000	3447

prune610.0ms (7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	218	8	226

Error

0.2b

Counts

226 → 8

Compiler

Compiled 10858 to 6816 computations (37.2% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-exp-log_binary64_1139`
68×	`times-frac_binary64_1107`
54×	`unpow-prod-down_binary64_1180`
53×	`add-sqr-sqrt_binary64_1123`
41×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
37×	`prod-exp_binary64_1150`
29×	`add-cbrt-cube_binary64_1137`
28×	`sqr-pow_binary64_1073`
27×	`div-exp_binary64_1152`
23×	`pow-exp_binary64_1169`
19×	`pow-to-exp_binary64_1170` `associate-/r*_binary64_1045`
15×	`cube-prod_binary64_1129`
11×	`cube-mult_binary64_1131` `unpow3_binary64_1167`
10×	`cbrt-unprod_binary64_1134`
9×	`associate-/l*_binary64_1046` `unswap-sqr_binary64_1069`
7×	`pow1_binary64_1162` `associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140`
3×	`pow-unpow_binary64_1178`
2×	`rem-cube-cbrt_binary64_1124` `pow-pow_binary64_1173` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `pow-prod-down_binary64_1172`
1×	`*-commutative_binary64_1032`

Counts

4 → 213

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

series799.0ms (9.1%)

Counts

4 → 30

Calls

4 calls:

332.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
241.0ms	(/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
104.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3120 to 2406 computations (22.9% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5029	3772

prune799.0ms (9.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	243	8	251

Error

0.2b

Counts

251 → 8

Compiler

Compiled 13569 to 8159 computations (39.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(.f64 (.f64 3 a) c)
23.4b	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`times-frac_binary64_1107`
40×	`*-un-lft-identity_binary64_1101`
33×	`add-sqr-sqrt_binary64_1123`
26×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
24×	`add-cube-cbrt_binary64_1136`
22×	`associate-/l*_binary64_1046`
14×	`pow1_binary64_1162`
9×	`difference-of-squares_binary64_1070` `add-log-exp_binary64_1140`
8×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052`
6×	`associate-r_binary64_1041` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`associate-/r/_binary64_1047`
3×	`diff-log_binary64_1193` `div-inv_binary64_1098`
2×	`-commutative_binary64_1032` `sub-neg_binary64_1094` `associate--l+_binary64_1038` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l*_binary64_1042` `cancel-sign-sub-inv_binary64_1067` `div-sub_binary64_1106`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-/r*_binary64_1045` `associate--l-_binary64_1039`

Counts

4 → 118

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))
5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(.f64 (.f64 3 a) c)

series431.0ms (4.9%)

Counts

4 → 39

Calls

4 calls:

214.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
100.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)) (.f64 b b))
61.0ms	(.f64 (.f64 3 a) c)
56.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1665 to 1202 computations (27.8% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4953	4191
1	4953	4191

prune239.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	5	0	5
Picked	1	0	1
Done	1	1	2
Total	157	8	165

Error

Counts

165 → 8

Compiler

Compiled 5320 to 2982 computations (43.9% saved)

regimes536.0ms (6.1%)

Accuracy

Total 0.4b remaining (99.3%)

Threshold costs 0.4b (99.3%)

Compiler

Compiled 7744 to 5687 computations (26.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	33
1	61	33

end0.0ms (0%)

sample2.4s (27.4%)

Algorithm

1×

intervals

Results

399.0ms	3879×	body	256	valid
274.0ms	8732×	pre	128	true
210.0ms	1385×	body	512	valid
142.0ms	2736×	body	128	valid
38.0ms	732×	body	128	nan

Compiler

Compiled 1512 to 1111 computations (26.5% saved)

Details

analyze271.0ms (3.1%)

sample43.0ms (0.5%)

simplify378.0ms (4.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite35.0ms (0.4%)

series561.0ms (6.4%)

simplify56.0ms (0.6%)

prune185.0ms (2.1%)

localize31.0ms (0.4%)

rewrite67.0ms (0.8%)

series861.0ms (9.9%)

simplify68.0ms (0.8%)

prune610.0ms (7%)

localize35.0ms (0.4%)

rewrite64.0ms (0.7%)

series799.0ms (9.1%)

simplify102.0ms (1.2%)

prune799.0ms (9.1%)

localize13.0ms (0.1%)

rewrite53.0ms (0.6%)

series431.0ms (4.9%)

simplify90.0ms (1%)

prune239.0ms (2.7%)

regimes536.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (27.4%)

Profiling