Details

analyze483.0ms (3.9%)

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)

sample53.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	285×	pre	128	true
11.0ms	116×	body	256	valid
7.0ms	48×	body	512	valid
4.0ms	92×	body	128	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify315.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	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

52.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (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))
26.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite150.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

49.1b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.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)

series698.0ms (5.6%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

192.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
165.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
108.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	3272

prune164.0ms (1.3%)

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 3331 to 1778 computations (46.6% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite596.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`unswap-sqr_binary64_46` `cube-prod_binary64_106` `associate-l_binary64_19`
8×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112`
7×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`unpow3_binary64_144` `cube-mult_binary64_108` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`
1×	`*-commutative_binary64_9`

Counts

4 → 202

Calls

4 calls:

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

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series995.0ms (8%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

321.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
275.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
219.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5089	3808

prune615.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	234	7	241

Error

0.2b

Counts

241 → 7

Compiler

Compiled 10678 to 6323 computations (40.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite618.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

56×	`times-frac_binary64_84`
51×	`add-exp-log_binary64_116`
48×	`unpow-prod-down_binary64_157`
47×	`add-sqr-sqrt_binary64_100`
46×	`pow1_binary64_139`
35×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
26×	`sqr-pow_binary64_50`
23×	`add-cbrt-cube_binary64_114`
21×	`prod-exp_binary64_127`
19×	`pow-prod-down_binary64_149`
18×	`pow-exp_binary64_146`
14×	`pow-to-exp_binary64_147`
12×	`div-exp_binary64_129`
10×	`cbrt-unprod_binary64_111`
9×	`unpow3_binary64_144` `cube-mult_binary64_108` `cube-prod_binary64_106` `unswap-sqr_binary64_46`
8×	`associate-l_binary64_19` `associate-r_binary64_18` `associate-/l*_binary64_23`
7×	`associate-/r*_binary64_22`
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` `*-commutative_binary64_9`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

4 → 192

Calls

4 calls:

9.0ms	(.f64 (.f64 a c) (*.f64 a c))
7.0ms	(*.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)

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series646.0ms (5.2%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

294.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
119.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
99.0ms	(pow.f64 (*.f64 a c) 3)
84.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5427	3066

prune668.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Error

0.2b

Counts

226 → 7

Compiler

Compiled 11790 to 6893 computations (41.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
17.2b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite557.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

99×	`add-exp-log_binary64_116`
45×	`prod-exp_binary64_127`
41×	`add-sqr-sqrt_binary64_100`
39×	`div-exp_binary64_129`
37×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
31×	`times-frac_binary64_84`
28×	`unpow-prod-down_binary64_157`
24×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
20×	`add-cbrt-cube_binary64_114`
19×	`associate-/r*_binary64_22`
17×	`log-pow_binary64_167`
16×	`exp-prod_binary64_130`
15×	`cube-prod_binary64_106`
14×	`sqr-pow_binary64_50`
12×	`unswap-sqr_binary64_46` `associate-l_binary64_19`
7×	`associate-r_binary64_18`
5×	`pow1_binary64_139` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112`
4×	`unpow3_binary64_144` `cube-mult_binary64_108` `add-log-exp_binary64_117`
3×	`div-inv_binary64_75` `log-prod_binary64_164`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l*_binary64_23`
1×	`rem-log-exp_binary64_119` `*-commutative_binary64_9`

Counts

4 → 181

Calls

4 calls:

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))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
7.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 9025 to 5537 computations (38.6% saved)

series1.1s (9%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

413.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
303.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
227.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
115.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4233 to 3109 computations (26.6% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5080	3225

prune569.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	214	7	221

Error

0.2b

Counts

221 → 7

Compiler

Compiled 9929 to 5961 computations (40% saved)

regimes564.0ms (4.5%)

Accuracy

Total 1.4b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 8212 to 5894 computations (28.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.2s (25.5%)

Algorithm

1×

intervals

Results

374.0ms	3780×	body	256	valid
291.0ms	8856×	pre	128	true
211.0ms	1506×	body	512	valid
149.0ms	2714×	body	128	valid
40.0ms	856×	body	128	nan

Compiler

Compiled 2114 to 1520 computations (28.1% saved)

Details

analyze483.0ms (3.9%)

sample53.0ms (0.4%)

simplify315.0ms (2.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite150.0ms (1.2%)

series698.0ms (5.6%)

simplify77.0ms (0.6%)

prune164.0ms (1.3%)

localize32.0ms (0.3%)

rewrite596.0ms (4.8%)

series995.0ms (8%)

simplify104.0ms (0.8%)

prune615.0ms (4.9%)

localize30.0ms (0.2%)

rewrite618.0ms (5%)

series646.0ms (5.2%)

simplify85.0ms (0.7%)

prune668.0ms (5.4%)

localize30.0ms (0.2%)

rewrite557.0ms (4.5%)

series1.1s (9%)

simplify87.0ms (0.7%)

prune569.0ms (4.6%)

regimes564.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.2s (25.5%)

Profiling