Details

analyze485.0ms (4.1%)

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%	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)

sample49.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	140×	body	256	valid
8.0ms	287×	pre	128	true
6.0ms	77×	body	128	valid
5.0ms	39×	body	512	valid
1.0ms	31×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify272.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (267.0ms)

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

53.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (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)
30.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite157.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

50.1b

Rules

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

Counts

4 → 77

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(.f64 (.f64 3 a) c)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series648.0ms (5.5%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
164.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
54.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5268	2923

prune152.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

0.2b

Counts

138 → 6

Compiler

Compiled 3114 to 1717 computations (44.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite614.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

112×	`add-exp-log_binary64_1139`
54×	`prod-exp_binary64_1150`
42×	`add-sqr-sqrt_binary64_1123`
39×	`pow-to-exp_binary64_1170` `div-exp_binary64_1152` `pow-exp_binary64_1169`
29×	`unpow-prod-down_binary64_1180`
25×	`add-cbrt-cube_binary64_1137`
22×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
19×	`times-frac_binary64_1107` `associate-/r_binary64_1045` `associate-r*_binary64_1041`
16×	`unswap-sqr_binary64_1069` `cube-prod_binary64_1129`
15×	`sqr-pow_binary64_1073`
13×	`associate-l_binary64_1042`
8×	`cbrt-unprod_binary64_1134`
5×	`cbrt-undiv_binary64_1135`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `unpow3_binary64_1167` `cube-mult_binary64_1131`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `-commutative_binary64_1032`

Counts

4 → 186

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9591 to 6025 computations (37.2% saved)

series869.0ms (7.4%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

360.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
219.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
120.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
108.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3016 computations (25.5% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4996	3175
1	4996	3175

prune609.0ms (5.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	216	6	222

Error

0.2b

Counts

222 → 6

Compiler

Compiled 10613 to 6600 computations (37.8% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite574.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

127×	`add-exp-log_binary64_1139`
60×	`prod-exp_binary64_1150`
46×	`pow1_binary64_1162`
45×	`div-exp_binary64_1152`
42×	`add-cbrt-cube_binary64_1137`
35×	`pow-exp_binary64_1169`
34×	`pow-to-exp_binary64_1170`
19×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
18×	`pow-prod-down_binary64_1172` `cbrt-unprod_binary64_1134`
15×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
13×	`unpow-prod-down_binary64_1180`
7×	`cube-prod_binary64_1129` `cbrt-undiv_binary64_1135`
5×	`sqr-pow_binary64_1073`
4×	`add-log-exp_binary64_1140` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
3×	`pow-unpow_binary64_1178` `unpow3_binary64_1167` `cube-mult_binary64_1131`
2×	`pow-pow_binary64_1173` `rem-cube-cbrt_binary64_1124` `pow-plus_binary64_1164` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
1×	`pow2_binary64_1182` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 168

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9569 to 5620 computations (41.3% saved)

series840.0ms (7.1%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

349.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
232.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
104.0ms	(pow.f64 (*.f64 a c) 3)
89.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4626 to 3315 computations (28.3% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune638.0ms (5.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	198	6	204

Error

0.2b

Counts

204 → 6

Compiler

Compiled 10401 to 6348 computations (39% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
0.3b	(.f64 3 (.f64 a c))
0.3b	(.f64 3 (.f64 a c))
30.3b	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))

rewrite246.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`add-log-exp_binary64_1140` `difference-of-squares_binary64_1070`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `distribute-lft-out_binary64_1052`
6×	`pow-prod-down_binary64_1172` `associate-l_binary64_1042` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`associate-/r/_binary64_1047`
3×	`diff-log_binary64_1193` `div-inv_binary64_1098`
2×	`sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `associate--l+_binary64_1038` `associate-r_binary64_1041` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075` `div-sub_binary64_1106`
1×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate--l-_binary64_1039` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r*_binary64_1045`

Counts

4 → 118

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 5559 to 2577 computations (53.6% saved)

series483.0ms (4.1%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

217.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
103.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))) (.f64 b b))
64.0ms	(.f64 3 (.f64 a c))
63.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2578 to 1659 computations (35.6% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4964	4184
1	4964	4184

prune417.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	155	8	163

Error

0.0b

Counts

163 → 8

Compiler

Compiled 5322 to 2637 computations (50.5% saved)

regimes984.0ms (8.3%)

Accuracy

Total 0.5b remaining (99.3%)

Threshold costs 0.5b (99.3%)

Compiler

Compiled 15749 to 10802 computations (31.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	36
1	22	36

end0.0ms (0%)

sample3.4s (28.5%)

Algorithm

1×

intervals

Results

374.0ms	3825×	body	256	valid
260.0ms	8859×	pre	128	true
197.0ms	1453×	body	512	valid
126.0ms	2722×	body	128	valid
44.0ms	859×	body	128	nan

Compiler

Compiled 3020 to 2070 computations (31.5% saved)

Details

analyze485.0ms (4.1%)

sample49.0ms (0.4%)

simplify272.0ms (2.3%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite157.0ms (1.3%)

series648.0ms (5.5%)

simplify56.0ms (0.5%)

prune152.0ms (1.3%)

localize27.0ms (0.2%)

rewrite614.0ms (5.2%)

series869.0ms (7.4%)

simplify91.0ms (0.8%)

prune609.0ms (5.2%)

localize30.0ms (0.3%)

rewrite574.0ms (4.9%)

series840.0ms (7.1%)

simplify77.0ms (0.7%)

prune638.0ms (5.4%)

localize13.0ms (0.1%)

rewrite246.0ms (2.1%)

series483.0ms (4.1%)

simplify87.0ms (0.7%)

prune417.0ms (3.5%)

regimes984.0ms (8.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (28.5%)

Profiling