Details

analyze489.0ms (4.4%)

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

Symmetry

Compiler

Compiled 30 to 24 computations (20% saved)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	108×	body	256	valid
9.0ms	291×	pre	128	true
7.0ms	48×	body	512	valid
5.0ms	100×	body	128	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify316.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

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

51.6b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
26.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite152.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

48.7b

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))
11.0ms	(-.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)

series696.0ms (6.2%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

202.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
160.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
98.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune160.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

0.1b

Counts

147 → 7

Compiler

Compiled 3347 to 1792 computations (46.5% saved)

localize26.0ms (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 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite534.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

156×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
60×	`div-exp_binary64_129`
46×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
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×	`sqr-pow_binary64_50` `cbrt-undiv_binary64_112`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `unswap-sqr_binary64_46`
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×	`associate-l_binary64_19` `*-commutative_binary64_9`

Counts

4 → 186

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

Compiler

Compiled 8813 to 5217 computations (40.8% saved)

series951.0ms (8.5%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

318.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
266.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
204.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4059 to 2950 computations (27.3% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune551.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Error

0.1b

Counts

226 → 7

Compiler

Compiled 9830 to 5856 computations (40.4% saved)

localize29.0ms (0.3%)

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 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite515.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

127×	`add-exp-log_binary64_116`
60×	`prod-exp_binary64_127`
46×	`pow1_binary64_139`
45×	`div-exp_binary64_129`
42×	`add-cbrt-cube_binary64_114`
35×	`pow-exp_binary64_146`
34×	`pow-to-exp_binary64_147`
19×	`times-frac_binary64_84` `associate-/r*_binary64_22`
18×	`pow-prod-down_binary64_149` `cbrt-unprod_binary64_111`
15×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
13×	`unpow-prod-down_binary64_157`
7×	`cube-prod_binary64_106` `cbrt-undiv_binary64_112`
5×	`sqr-pow_binary64_50`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155` `unpow3_binary64_144` `cube-mult_binary64_108`
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` `associate-/l*_binary64_23`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 168

Calls

4 calls:

14.0ms	(/.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 9233 to 5284 computations (42.8% saved)

series810.0ms (7.2%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

341.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
221.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 3)
87.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4446 to 3135 computations (29.5% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune498.0ms (4.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	198	7	205

Error

0.1b

Counts

205 → 7

Compiler

Compiled 10060 to 5985 computations (40.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.1b	(-.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))
26.8b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite234.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

54×	`times-frac_binary64_84`
38×	`*-un-lft-identity_binary64_78`
31×	`add-sqr-sqrt_binary64_100`
22×	`add-cube-cbrt_binary64_113` `associate-/l*_binary64_23`
16×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
13×	`add-log-exp_binary64_117`
9×	`difference-of-squares_binary64_47`
8×	`distribute-lft-out_binary64_29`
6×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
5×	`diff-log_binary64_170`
4×	`pow1_binary64_139` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `associate-/r/_binary64_24`
3×	`flip3--_binary64_82` `flip--_binary64_53` `div-inv_binary64_75`
2×	`associate--l+_binary64_15` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `flip3-+_binary64_81` `flip-+_binary64_52` `div-sub_binary64_83`
1×	`associate--l-_binary64_16` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `associate-/r*_binary64_22`

Counts

4 → 106

Calls

4 calls:

20.0ms	(/.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))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 5257 to 2411 computations (54.1% saved)

series692.0ms (6.2%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

228.0ms	(/.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))
160.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
155.0ms	(-.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 3974 to 2535 computations (36.2% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5049	4548

prune240.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	170	6	176

Error

Counts

176 → 6

Compiler

Compiled 5618 to 2721 computations (51.6% saved)

regimes691.0ms (6.2%)

Accuracy

Total 0.4b remaining (98.9%)

Threshold costs 0.4b (98.9%)

Compiler

Compiled 10744 to 7426 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

Removed

()

end0.0ms (0%)

sample3.3s (29%)

Algorithm

1×

intervals

Results

350.0ms	3696×	body	256	valid
279.0ms	8799×	pre	128	true
218.0ms	1500×	body	512	valid
136.0ms	2804×	body	128	valid
39.0ms	799×	body	128	nan

Compiler

Compiled 2728 to 1888 computations (30.8% saved)

Details

analyze489.0ms (4.4%)

sample47.0ms (0.4%)

simplify316.0ms (2.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite152.0ms (1.3%)

series696.0ms (6.2%)

simplify78.0ms (0.7%)

prune160.0ms (1.4%)

localize26.0ms (0.2%)

rewrite534.0ms (4.7%)

series951.0ms (8.5%)

simplify94.0ms (0.8%)

prune551.0ms (4.9%)

localize29.0ms (0.3%)

rewrite515.0ms (4.6%)

series810.0ms (7.2%)

simplify79.0ms (0.7%)

prune498.0ms (4.4%)

localize13.0ms (0.1%)

rewrite234.0ms (2.1%)

series692.0ms (6.2%)

simplify72.0ms (0.6%)

prune240.0ms (2.1%)

regimes691.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (29%)

Profiling