Details

analyze705.0ms (4.2%)

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%	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)

sample87.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms	124×	body	256	valid
15.0ms	277×	pre	128	true
12.0ms	45×	body	512	valid
8.0ms	87×	body	128	valid
2.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify562.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (556.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (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

53.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
27.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite152.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

50.4b

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×	`difference-of-squares_binary64_47` `sqrt-prod_binary64_94` `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×	`diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25` `sqrt-div_binary64_95`
1×	`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` `pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 74

Calls

4 calls:

17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.0s (6.1%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

287.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
254.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
233.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
133.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5207	3272

prune287.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Error

0.1b

Counts

147 → 8

Compiler

Compiled 3411 to 1832 computations (46.3% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite840.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

155×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
60×	`div-exp_binary64_129`
50×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
40×	`add-sqr-sqrt_binary64_100`
31×	`unpow-prod-down_binary64_157`
29×	`add-cbrt-cube_binary64_114`
26×	`times-frac_binary64_84` `associate-/r*_binary64_22`
23×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
15×	`sqr-pow_binary64_50`
12×	`cube-prod_binary64_106` `unswap-sqr_binary64_46` `associate-l_binary64_19`
8×	`cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111`
7×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23` `unpow3_binary64_144` `cube-mult_binary64_108`
1×	`*-commutative_binary64_9`

Counts

4 → 202

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
12.0ms	(/.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 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series1.7s (10%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

582.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
468.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
326.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
219.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5089	3808

prune756.0ms (4.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	234	9	243

Error

0.1b

Counts

243 → 9

Compiler

Compiled 10758 to 6376 computations (40.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (.f64 c c))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite472.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

102×	`add-exp-log_binary64_116`
48×	`prod-exp_binary64_127`
32×	`add-cbrt-cube_binary64_114`
30×	`div-exp_binary64_129`
22×	`add-sqr-sqrt_binary64_100`
19×	`times-frac_binary64_84` `associate-/r*_binary64_22`
18×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`unpow-prod-down_binary64_157`
13×	`associate-r_binary64_18`
12×	`cbrt-unprod_binary64_111`
10×	`cube-prod_binary64_106`
9×	`pow1_binary64_139`
6×	`cbrt-undiv_binary64_112` `sqr-pow_binary64_50`
5×	`unswap-sqr_binary64_46`
4×	`add-log-exp_binary64_117` `associate-l_binary64_19`
3×	`unpow3_binary64_144` `cube-mult_binary64_108` `pow-prod-down_binary64_149`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `-commutative_binary64_9`

Counts

4 → 148

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
13.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
12.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 4942 to 2482 computations (49.8% saved)

series1.0s (6.2%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

405.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
314.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
175.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
95.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2430 to 1732 computations (28.7% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5041	2488

prune338.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	178	9	187

Error

0.1b

Counts

187 → 9

Compiler

Compiled 5610 to 2844 computations (49.3% saved)

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite1.0s (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

88×	`add-exp-log_binary64_116`
68×	`times-frac_binary64_84`
46×	`pow1_binary64_139`
42×	`unpow-prod-down_binary64_157`
39×	`add-cbrt-cube_binary64_114`
37×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
36×	`prod-exp_binary64_127`
27×	`div-exp_binary64_129`
20×	`sqr-pow_binary64_50`
19×	`associate-/r*_binary64_22`
18×	`pow-prod-down_binary64_149`
17×	`pow-exp_binary64_146` `cbrt-unprod_binary64_111`
15×	`cube-prod_binary64_106`
13×	`pow-to-exp_binary64_147`
11×	`unpow3_binary64_144` `cube-mult_binary64_108`
9×	`associate-/l*_binary64_23`
6×	`cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155`
2×	`pow-pow_binary64_150` `rem-cube-cbrt_binary64_101` `pow-plus_binary64_141` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 205

Calls

4 calls:

30.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
15.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
14.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11659 to 6685 computations (42.7% saved)

series1.2s (6.9%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

437.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
334.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
136.0ms	(.f64 (.f64 a c) (*.f64 a c))
132.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5132	3471

prune793.0ms (4.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	235	9	244

Error

0.1b

Counts

244 → 9

Compiler

Compiled 12310 to 7359 computations (40.2% saved)

regimes760.0ms (4.6%)

Accuracy

Total 1.2b remaining (88.1%)

Threshold costs 0b (0%)

Compiler

Compiled 7768 to 5522 computations (28.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample4.4s (26.2%)

Algorithm

1×

intervals

Results

513.0ms	3747×	body	256	valid
352.0ms	8836×	pre	128	true
285.0ms	1502×	body	512	valid
185.0ms	2751×	body	128	valid
50.0ms	836×	body	128	nan

Compiler

Compiled 2004 to 1430 computations (28.6% saved)

Details

analyze705.0ms (4.2%)

sample87.0ms (0.5%)

simplify562.0ms (3.4%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite152.0ms (0.9%)

series1.0s (6.1%)

simplify124.0ms (0.7%)

prune287.0ms (1.7%)

localize52.0ms (0.3%)

rewrite840.0ms (5.1%)

series1.7s (10%)

simplify95.0ms (0.6%)

prune756.0ms (4.5%)

localize21.0ms (0.1%)

rewrite472.0ms (2.8%)

series1.0s (6.2%)

simplify124.0ms (0.7%)

prune338.0ms (2%)

localize65.0ms (0.4%)

rewrite1.0s (6.1%)

series1.2s (6.9%)

simplify131.0ms (0.8%)

prune793.0ms (4.8%)

regimes760.0ms (4.6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.4s (26.2%)

Profiling