Details

analyze493.0ms (4%)

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)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	117×	body	256	valid
9.0ms	275×	pre	128	true
8.0ms	53×	body	512	valid
4.0ms	86×	body	128	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify312.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (307.0ms)

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

53.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0b	(-.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))
28.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite152.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

50.3b

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))
9.0ms	(-.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)

series699.0ms (5.7%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

203.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
161.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
154.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune161.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	8	147

Error

0.1b

Counts

147 → 8

Compiler

Compiled 3372 to 1806 computations (46.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite508.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 178

Calls

4 calls:

11.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series752.0ms (6.2%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

267.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
203.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
129.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
102.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5093	3032

prune509.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	208	8	216

Error

0.1b

Counts

216 → 8

Compiler

Compiled 9484 to 5573 computations (41.2% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite661.0ms (5.4%)

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:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11659 to 6685 computations (42.7% saved)

series798.0ms (6.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

295.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
247.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
99.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune687.0ms (5.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	235	8	243

Error

0.1b

Counts

243 → 8

Compiler

Compiled 12489 to 7479 computations (40.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.1b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
28.9b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite523.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

70×	`times-frac_binary64_84`
60×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
32×	`add-cube-cbrt_binary64_113`
26×	`associate-/l*_binary64_23`
18×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
14×	`difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
11×	`add-log-exp_binary64_117`
7×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
6×	`associate-/r/_binary64_24`
5×	`associate-/r*_binary64_22`
4×	`pow1_binary64_139` `div-inv_binary64_75` `flip3-+_binary64_81` `flip-+_binary64_52`
3×	`diff-log_binary64_170` `div-sub_binary64_83` `associate-/l/_binary64_25`
2×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate--l-_binary64_16` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 135

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
15.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
8.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 6948 to 3195 computations (54% saved)

series769.0ms (6.3%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

260.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
220.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
130.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
90.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 4072 to 2773 computations (31.9% saved)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6129	6703

prune282.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	4	0	4
Picked	1	0	1
Done	1	2	3
Total	200	6	206

Error

Counts

206 → 6

Compiler

Compiled 6822 to 3378 computations (50.5% saved)

regimes805.0ms (6.6%)

Accuracy

Total 0.4b remaining (98.9%)

Threshold costs 0.4b (98.9%)

Compiler

Compiled 13432 to 8806 computations (34.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	33
1	64	33

end0.0ms (0%)

sample3.6s (29.5%)

Algorithm

1×

intervals

Results

380.0ms	3780×	body	256	valid
279.0ms	8828×	pre	128	true
201.0ms	1358×	body	512	valid
143.0ms	2862×	body	128	valid
41.0ms	828×	body	128	nan

Compiler

Compiled 3400 to 2233 computations (34.3% saved)

Details

analyze493.0ms (4%)

sample48.0ms (0.4%)

simplify312.0ms (2.6%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite152.0ms (1.2%)

series699.0ms (5.7%)

simplify73.0ms (0.6%)

prune161.0ms (1.3%)

localize25.0ms (0.2%)

rewrite508.0ms (4.2%)

series752.0ms (6.2%)

simplify89.0ms (0.7%)

prune509.0ms (4.2%)

localize32.0ms (0.3%)

rewrite661.0ms (5.4%)

series798.0ms (6.5%)

simplify89.0ms (0.7%)

prune687.0ms (5.6%)

localize13.0ms (0.1%)

rewrite523.0ms (4.3%)

series769.0ms (6.3%)

simplify110.0ms (0.9%)

prune282.0ms (2.3%)

regimes805.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (29.5%)

Profiling