Details

analyze930.0ms (4.8%)

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)

sample88.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	117×	body	256	valid
20.0ms	54×	body	512	valid
16.0ms	275×	pre	128	true
8.0ms	85×	body	128	valid
2.0ms	19×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify602.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (591.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune8.0ms (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

53.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize23.0ms (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))
25.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite72.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `times-frac_binary64_84` `associate-/l*_binary64_23` `difference-of-squares_binary64_47`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `diff-log_binary64_170` `sqrt-div_binary64_95` `associate-/l/_binary64_25` `sub-neg_binary64_71`
1×	`sqrt-pow1_binary64_96` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `rem-sqrt-square_binary64_91` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r*_binary64_22` `clear-num_binary64_77` `div-sub_binary64_83` `pow1/2_binary64_158`

Counts

4 → 74

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series1.2s (6.2%)

Counts

4 → 72

Calls

4 calls:

380.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
313.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
303.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
207.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5207	3272

prune365.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.2b

Counts

147 → 6

Compiler

Compiled 3324 to 1871 computations (43.7% saved)

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite126.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
60×	`div-exp_binary64_129`
46×	`pow-exp_binary64_146` `pow-to-exp_binary64_147`
32×	`add-cbrt-cube_binary64_114`
26×	`times-frac_binary64_84` `associate-/r*_binary64_22`
24×	`add-sqr-sqrt_binary64_100`
22×	`unpow-prod-down_binary64_157`
21×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`associate-r_binary64_18`
10×	`cbrt-unprod_binary64_111` `cube-prod_binary64_106`
8×	`cbrt-undiv_binary64_112` `sqr-pow_binary64_50`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46` `pow1_binary64_139`
3×	`cube-mult_binary64_108` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l*_binary64_23` `clear-num_binary64_77` `unpow3_binary64_144`
1×	`-commutative_binary64_9` `associate-l*_binary64_19`

Counts

4 → 186

Calls

4 calls:

21.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
18.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
18.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
18.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

series1.7s (8.8%)

Counts

4 → 33

Calls

4 calls:

575.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
534.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
410.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
195.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2706 to 2094 computations (22.6% saved)

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune935.0ms (4.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	219	6	225

Error

0.2b

Counts

225 → 6

Compiler

Compiled 9807 to 5846 computations (40.4% saved)

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite128.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`add-exp-log_binary64_116`
89×	`prod-exp_binary64_127`
72×	`div-exp_binary64_129`
70×	`times-frac_binary64_84`
68×	`pow-exp_binary64_146`
64×	`pow-to-exp_binary64_147`
45×	`unpow-prod-down_binary64_157`
41×	`add-sqr-sqrt_binary64_100`
39×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
23×	`add-cbrt-cube_binary64_114`
21×	`sqr-pow_binary64_50`
14×	`associate-/r*_binary64_22`
11×	`associate-l_binary64_19`
9×	`cube-mult_binary64_108` `associate-/l*_binary64_23` `unpow3_binary64_144` `cube-prod_binary64_106` `pow1_binary64_139`
6×	`cbrt-unprod_binary64_111`
5×	`cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117`
3×	`div-inv_binary64_75` `associate-r_binary64_18` `pow-unpow_binary64_155`
2×	`rem-cube-cbrt_binary64_101` `frac-2neg_binary64_89` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `clear-num_binary64_77`
1×	`-commutative_binary64_9` `associate-l/_binary64_21` `unswap-sqr_binary64_46`

Counts

4 → 232

Calls

4 calls:

21.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
16.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
13.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(pow.f64 (*.f64 a c) 3)

series1.9s (9.5%)

Counts

4 → 33

Calls

4 calls:

639.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
529.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
514.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
175.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3294 to 2466 computations (25.1% saved)

simplify172.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4965	4503
1	4965	4503

prune1.5s (7.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	264	7	271

Error

0.2b

Counts

271 → 7

Compiler

Compiled 14117 to 8058 computations (42.9% saved)

localize71.0ms (0.4%)

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 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.7b	(pow.f64 (*.f64 a c) 3)
10.7b	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))

rewrite154.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_84`
86×	`add-exp-log_binary64_116`
73×	`unpow-prod-down_binary64_157`
61×	`log-pow_binary64_167`
60×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `exp-prod_binary64_130` `*-un-lft-identity_binary64_78`
42×	`div-exp_binary64_129`
40×	`pow-exp_binary64_146`
36×	`pow-to-exp_binary64_147`
35×	`sqr-pow_binary64_50`
31×	`prod-exp_binary64_127`
16×	`cube-mult_binary64_108` `unpow3_binary64_144` `cube-prod_binary64_106`
14×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22`
9×	`associate-/l*_binary64_23`
8×	`pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`cbrt-undiv_binary64_112` `div-inv_binary64_75` `log-prod_binary64_164` `pow-unpow_binary64_155`
2×	`rem-cube-cbrt_binary64_101` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `pow-pow_binary64_150` `clear-num_binary64_77`
1×	`rem-log-exp_binary64_119` `pow-prod-down_binary64_149`

Counts

4 → 245

Calls

4 calls:

28.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
20.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
18.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(pow.f64 (*.f64 a c) 3)

series2.4s (12.2%)

Counts

4 → 33

Calls

4 calls:

1.1s	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
597.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
519.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
184.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3446 to 2636 computations (23.5% saved)

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5037	4431

prune1.7s (8.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	278	7	285

Error

0.2b

Counts

285 → 7

Compiler

Compiled 15546 to 9104 computations (41.4% saved)

regimes627.0ms (3.2%)

Accuracy

Total 1.3b remaining (87.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4492 to 3346 computations (25.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample4.3s (22.1%)

Algorithm

1×

intervals

Results

681.0ms	3725×	body	256	valid
503.0ms	8794×	pre	128	true
417.0ms	1522×	body	512	valid
262.0ms	2753×	body	128	valid
69.0ms	794×	body	128	nan

Compiler

Compiled 1184 to 883 computations (25.4% saved)

Details

analyze930.0ms (4.8%)

sample88.0ms (0.4%)

simplify602.0ms (3.1%)

prune8.0ms (0%)

localize23.0ms (0.1%)

rewrite72.0ms (0.4%)

series1.2s (6.2%)

simplify148.0ms (0.8%)

prune365.0ms (1.9%)

localize59.0ms (0.3%)

rewrite126.0ms (0.6%)

series1.7s (8.8%)

simplify171.0ms (0.9%)

prune935.0ms (4.8%)

localize60.0ms (0.3%)

rewrite128.0ms (0.7%)

series1.9s (9.5%)

simplify172.0ms (0.9%)

prune1.5s (7.5%)

localize71.0ms (0.4%)

rewrite154.0ms (0.8%)

series2.4s (12.2%)

simplify197.0ms (1%)

prune1.7s (8.5%)

regimes627.0ms (3.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.3s (22.1%)

Profiling