Details

analyze502.0ms (3.4%)

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)

sample36.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	247×	body	128	valid
8.0ms	277×	pre	128	true
1.0ms	21×	body	128	nan
1.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify277.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (271.0ms)

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

29.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite142.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

20×	`add-sqr-sqrt_binary64_2487`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
4×	`cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqrt-prod_binary64_2481` `distribute-lft-out--_binary64_2417` `pow-prod-down_binary64_2536` `associate-r_binary64_2405`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r_binary64_2409` `associate-l_binary64_2406` `-commutative_binary64_2396`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(.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)

series646.0ms (4.3%)

Error

0.8b

Counts

4 → 60

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
162.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
59.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune169.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	122	15	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	15	138

Error

0.6b

Counts

138 → 15

Compiler

Compiled 3419 to 1928 computations (43.6% saved)

localize28.0ms (0.2%)

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 (.f64 a (.f64 c c)) (pow.f64 b 3))
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))

rewrite639.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

156×	`add-exp-log_binary64_2503`
72×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
46×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
32×	`add-cbrt-cube_binary64_2501`
26×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
24×	`add-sqr-sqrt_binary64_2487`
22×	`unpow-prod-down_binary64_2544`
21×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
12×	`associate-r_binary64_2405`
10×	`cbrt-unprod_binary64_2498` `cube-prod_binary64_2493`
8×	`sqr-pow_binary64_2437` `cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
3×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 186

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.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 9557 to 5961 computations (37.6% saved)

series1.0s (6.9%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
290.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
229.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
106.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune587.0ms (3.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	219	15	234

Error

0.6b

Counts

234 → 15

Compiler

Compiled 10974 to 6921 computations (36.9% saved)

localize34.0ms (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)

rewrite533.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

46×	`pow1_binary64_2526`
36×	`add-exp-log_binary64_2503`
26×	`add-cbrt-cube_binary64_2501`
23×	`add-sqr-sqrt_binary64_2487`
19×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514`
13×	`unpow-prod-down_binary64_2544`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465` `cbrt-unprod_binary64_2498`
10×	`associate-*r/_binary64_2407`
9×	`sqr-pow_binary64_2437` `unswap-sqr_binary64_2433`
8×	`pow-exp_binary64_2533` `associate-l_binary64_2406` `associate-r_binary64_2405`
7×	`pow-to-exp_binary64_2534` `associate-/l/_binary64_2412`
5×	`frac-sub_binary64_2474`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `frac-add_binary64_2473`
3×	`pow-unpow_binary64_2542` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528` `*-commutative_binary64_2396` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow2_binary64_2546` `swap-sqr_binary64_2432` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-/r*_binary64_2409`

Counts

4 → 127

Calls

4 calls:

31.0ms	(/.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)

series714.0ms (4.8%)

Error

0.6b

Counts

4 → 39

Calls

4 calls:

337.0ms	(/.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))
125.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
103.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune562.0ms (3.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	160	21	181

Error

0.5b

Counts

181 → 21

Compiler

Compiled 10801 to 6635 computations (38.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite581.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

72×	`times-frac_binary64_2471`
41×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
37×	`unpow-prod-down_binary64_2544`
33×	`add-exp-log_binary64_2503`
23×	`sqr-pow_binary64_2437`
22×	`cube-prod_binary64_2493`
16×	`pow-exp_binary64_2533`
14×	`unpow2_binary64_2530`
13×	`pow1_binary64_2526`
12×	`div-exp_binary64_2516` `associate-/r*_binary64_2409`
10×	`pow-to-exp_binary64_2534`
9×	`pow-unpow_binary64_2542` `add-cbrt-cube_binary64_2501`
8×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
6×	`pow-pow_binary64_2537` `prod-exp_binary64_2514` `associate-/l*_binary64_2410`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536`
2×	`rem-cube-cbrt_binary64_2488`
1×	`cbrt-unprod_binary64_2498` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 170

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9718 to 5814 computations (40.2% saved)

series585.0ms (3.9%)

Error

0.5b

Counts

4 → 27

Calls

4 calls:

246.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 3)
101.0ms	(pow.f64 (*.f64 a c) 4)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4963	2856
1	4963	2856

prune512.0ms (3.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	197	21	218

Error

0.5b

Counts

218 → 21

Compiler

Compiled 10495 to 5952 computations (43.3% saved)

regimes2.0s (13.4%)

Accuracy

Total 4.6b remaining (87.6%)

Threshold costs 0b (0%)

Compiler

Compiled 28613 to 19690 computations (31.2% saved)

bsearch10.0ms (0.1%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	295	141
1	295	141

end0.0ms (0%)

sample5.0s (33.5%)

Algorithm

1×

intervals

Results

397.0ms	7681×	body	128	valid
284.0ms	8935×	pre	128	true
46.0ms	935×	body	128	nan
30.0ms	319×	body	256	valid

Compiler

Compiled 5657 to 3890 computations (31.2% saved)

Details

analyze502.0ms (3.4%)

sample36.0ms (0.2%)

simplify277.0ms (1.9%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite142.0ms (1%)

series646.0ms (4.3%)

simplify56.0ms (0.4%)

prune169.0ms (1.1%)

localize28.0ms (0.2%)

rewrite639.0ms (4.3%)

series1.0s (6.9%)

simplify88.0ms (0.6%)

prune587.0ms (3.9%)

localize34.0ms (0.2%)

rewrite533.0ms (3.6%)

series714.0ms (4.8%)

simplify88.0ms (0.6%)

prune562.0ms (3.8%)

localize30.0ms (0.2%)

rewrite581.0ms (3.9%)

series585.0ms (3.9%)

simplify56.0ms (0.4%)

prune512.0ms (3.4%)

regimes2.0s (13.4%)

bsearch10.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.0s (33.5%)

Profiling