Details

analyze576.0ms (3.2%)

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)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	243×	body	128	valid
13.0ms	287×	pre	128	true
2.0ms	31×	body	128	nan
1.0ms	13×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify320.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

28.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite164.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

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:

12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
5.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series787.0ms (4.4%)

Error

0.9b

Counts

4 → 60

Calls

4 calls:

267.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
207.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
166.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
66.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5268	2923

prune174.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	14	138

Error

0.6b

Counts

138 → 14

Compiler

Compiled 3394 to 1903 computations (43.9% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite767.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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:

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

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series1.0s (5.8%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

334.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
321.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
155.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
121.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune751.0ms (4.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	215	17	232

Error

0.6b

Counts

232 → 17

Compiler

Compiled 11133 to 7074 computations (36.5% 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))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite659.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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:

30.0ms	(/.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))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series835.0ms (4.7%)

Error

0.6b

Counts

4 → 39

Calls

4 calls:

422.0ms	(/.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))
130.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
112.0ms	(pow.f64 (*.f64 a c) 3)
97.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune718.0ms (4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	159	7	166
Fresh	4	10	14
Picked	1	0	1
Done	0	2	2
Total	164	19	183

Error

0.5b

Counts

183 → 19

Compiler

Compiled 10567 to 6469 computations (38.8% 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))
0.6b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite485.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 6939 to 4362 computations (37.1% saved)

series754.0ms (4.2%)

Error

0.5b

Counts

4 → 27

Calls

4 calls:

379.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
120.0ms	(pow.f64 (*.f64 a c) 4)
104.0ms	(pow.f64 (*.f64 a c) 3)
95.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5091	2247

prune500.0ms (2.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	16	16
Picked	1	0	1
Done	0	2	2
Total	154	19	173

Error

0.5b

Counts

173 → 19

Compiler

Compiled 7976 to 4969 computations (37.7% saved)

regimes2.2s (12.5%)

Accuracy

Total 4.3b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 30486 to 20749 computations (31.9% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	333	143
1	333	143

end0.0ms (0%)

sample6.5s (36.5%)

Algorithm

1×

intervals

Results

450.0ms	7698×	body	128	valid
310.0ms	9013×	pre	128	true
56.0ms	1013×	body	128	nan
37.0ms	302×	body	256	valid

Compiler

Compiled 6045 to 4113 computations (32% saved)

Details

analyze576.0ms (3.2%)

sample48.0ms (0.3%)

simplify320.0ms (1.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite164.0ms (0.9%)

series787.0ms (4.4%)

simplify82.0ms (0.5%)

prune174.0ms (1%)

localize46.0ms (0.3%)

rewrite767.0ms (4.3%)

series1.0s (5.8%)

simplify144.0ms (0.8%)

prune751.0ms (4.2%)

localize32.0ms (0.2%)

rewrite659.0ms (3.7%)

series835.0ms (4.7%)

simplify102.0ms (0.6%)

prune718.0ms (4%)

localize36.0ms (0.2%)

rewrite485.0ms (2.7%)

series754.0ms (4.2%)

simplify65.0ms (0.4%)

prune500.0ms (2.8%)

regimes2.2s (12.5%)

bsearch12.0ms (0.1%)

simplify8.0ms (0%)

end0.0ms (0%)

sample6.5s (36.5%)

Profiling