Details

analyze605.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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)

sample49.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	99×	body	256	valid
10.0ms	285×	pre	128	true
9.0ms	157×	body	128	valid
2.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify339.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (333.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

45.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
40.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

42.5b

Rules

20×	`add-sqr-sqrt_binary64_3851`
14×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `*-un-lft-identity_binary64_3829`
9×	`pow1_binary64_3890`
8×	`add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864`
6×	`difference-of-squares_binary64_3798` `times-frac_binary64_3835` `associate-/l*_binary64_3774`
4×	`cancel-sign-sub-inv_binary64_3795` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
3×	`flip3--_binary64_3833` `flip--_binary64_3804` `sqrt-prod_binary64_3845` `distribute-lft-out--_binary64_3781` `pow-prod-down_binary64_3900` `associate-r_binary64_3769`
2×	`diff-log_binary64_3921` `sub-neg_binary64_3822` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/l/_binary64_3776`
1×	`frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/r_binary64_3773` `associate-l_binary64_3770` `-commutative_binary64_3760`

Counts

4 → 77

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(.f64 (.f64 3 a) c)
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series761.0ms (5.1%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

237.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
194.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
177.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
83.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5268	2923

prune205.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	9	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Error

0.3b

Counts

138 → 10

Compiler

Compiled 3239 to 1798 computations (44.5% saved)

localize38.0ms (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))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite716.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

144×	`add-exp-log_binary64_3867`
72×	`prod-exp_binary64_3878`
51×	`div-exp_binary64_3880`
49×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897`
40×	`add-sqr-sqrt_binary64_3851`
29×	`unpow-prod-down_binary64_3908`
25×	`add-cbrt-cube_binary64_3865`
20×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
19×	`associate-r_binary64_3769`
16×	`unswap-sqr_binary64_3797`
15×	`sqr-pow_binary64_3801`
14×	`times-frac_binary64_3835` `associate-/r*_binary64_3773`
13×	`associate-l_binary64_3770`
10×	`cube-prod_binary64_3857`
8×	`cbrt-unprod_binary64_3862`
5×	`cbrt-undiv_binary64_3863`
4×	`pow1_binary64_3890` `add-log-exp_binary64_3868`
2×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l_binary64_3774` `unpow3_binary64_3895` `cube-mult_binary64_3859` `-commutative_binary64_3760`

Counts

4 → 188

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
11.0ms	(/.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))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series1.1s (7.2%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

414.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
347.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
140.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune770.0ms (5.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	217	11	228

Error

0.3b

Counts

228 → 11

Compiler

Compiled 10884 to 6895 computations (36.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite678.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

46×	`pow1_binary64_3890`
36×	`add-exp-log_binary64_3867`
26×	`add-cbrt-cube_binary64_3865`
23×	`add-sqr-sqrt_binary64_3851`
19×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878`
13×	`unpow-prod-down_binary64_3908`
11×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `cbrt-unprod_binary64_3862`
10×	`associate-*r/_binary64_3771`
9×	`sqr-pow_binary64_3801` `unswap-sqr_binary64_3797`
8×	`pow-exp_binary64_3897` `associate-l_binary64_3770` `associate-r_binary64_3769`
7×	`pow-to-exp_binary64_3898` `associate-/l/_binary64_3776`
5×	`frac-sub_binary64_3838`
4×	`add-log-exp_binary64_3868` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `frac-add_binary64_3837`
3×	`pow-unpow_binary64_3906` `times-frac_binary64_3835` `associate-/l*_binary64_3774`
2×	`pow-pow_binary64_3901` `rem-cube-cbrt_binary64_3852` `pow-plus_binary64_3892` `*-commutative_binary64_3760` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `flip3-+_binary64_3832` `flip-+_binary64_3803`
1×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `cube-prod_binary64_3857` `pow2_binary64_3910` `swap-sqr_binary64_3796` `frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `div-inv_binary64_3826` `flip3--_binary64_3833` `flip--_binary64_3804` `associate-/r*_binary64_3773`

Counts

4 → 127

Calls

4 calls:

57.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
14.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
9.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series803.0ms (5.4%)

Error

0.3b

Counts

4 → 39

Calls

4 calls:

357.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
136.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
116.0ms	(pow.f64 (*.f64 a c) 3)
102.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune623.0ms (4.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	8	8
Picked	1	0	1
Done	1	1	2
Total	164	13	177

Error

0.2b

Counts

177 → 13

Compiler

Compiled 10117 to 6181 computations (38.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite457.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

35×	`times-frac_binary64_3835`
33×	`add-exp-log_binary64_3867`
29×	`unpow-prod-down_binary64_3908`
27×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
17×	`sqr-pow_binary64_3801`
16×	`pow-exp_binary64_3897`
13×	`pow1_binary64_3890`
12×	`div-exp_binary64_3880`
10×	`pow-to-exp_binary64_3898`
9×	`pow-unpow_binary64_3906` `add-cbrt-cube_binary64_3865`
7×	`associate-/r*_binary64_3773`
6×	`pow-pow_binary64_3901` `prod-exp_binary64_3878`
5×	`associate-/l*_binary64_3774`
4×	`add-log-exp_binary64_3868`
3×	`pow-prod-down_binary64_3900`
2×	`rem-cube-cbrt_binary64_3852`
1×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `cube-prod_binary64_3857` `cbrt-unprod_binary64_3862` `unpow2_binary64_3894` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826`

Counts

4 → 127

Calls

4 calls:

12.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
8.0ms	(pow.f64 (*.f64 a c) 3)
7.0ms	(pow.f64 (*.f64 a c) 2)
7.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 7193 to 4363 computations (39.3% saved)

series779.0ms (5.2%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

398.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
117.0ms	(pow.f64 (*.f64 a c) 3)
107.0ms	(pow.f64 (*.f64 a c) 4)
88.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5091	2247

prune467.0ms (3.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	154	13	167

Error

0.2b

Counts

167 → 13

Compiler

Compiled 8284 to 4970 computations (40% saved)

regimes1.3s (8.6%)

Accuracy

Total 2.6b remaining (88.6%)

Threshold costs 0b (0%)

Compiler

Compiled 19062 to 13300 computations (30.2% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample4.6s (30.9%)

Algorithm

1×

intervals

Results

347.0ms	2960×	body	256	valid
318.0ms	8859×	pre	128	true
314.0ms	5039×	body	128	valid
50.0ms	859×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 3710 to 2594 computations (30.1% saved)

Details

analyze605.0ms (4.1%)

sample49.0ms (0.3%)

simplify339.0ms (2.3%)

prune7.0ms (0%)

localize11.0ms (0.1%)

rewrite185.0ms (1.2%)

series761.0ms (5.1%)

simplify59.0ms (0.4%)

prune205.0ms (1.4%)

localize38.0ms (0.3%)

rewrite716.0ms (4.8%)

series1.1s (7.2%)

simplify112.0ms (0.8%)

prune770.0ms (5.2%)

localize32.0ms (0.2%)

rewrite678.0ms (4.6%)

series803.0ms (5.4%)

simplify101.0ms (0.7%)

prune623.0ms (4.2%)

localize36.0ms (0.2%)

rewrite457.0ms (3.1%)

series779.0ms (5.2%)

simplify83.0ms (0.6%)

prune467.0ms (3.1%)

regimes1.3s (8.6%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample4.6s (30.9%)

Profiling