Details

analyze497.0ms (3.3%)

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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
11.0ms	288×	pre	128	true
1.0ms	32×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify283.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

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

27.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
27.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite141.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

25.8b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series642.0ms (4.2%)

Error

0.9b

Counts

4 → 60

Calls

4 calls:

205.0ms	(/.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)
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
51.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune163.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.6b

Counts

138 → 13

Compiler

Compiled 3345 to 1878 computations (43.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite646.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

144×	`add-exp-log_binary64_2503`
72×	`prod-exp_binary64_2514`
51×	`div-exp_binary64_2516`
49×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
40×	`add-sqr-sqrt_binary64_2487`
29×	`unpow-prod-down_binary64_2544`
25×	`add-cbrt-cube_binary64_2501`
20×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`associate-r_binary64_2405`
16×	`unswap-sqr_binary64_2433`
15×	`sqr-pow_binary64_2437`
14×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
13×	`associate-l_binary64_2406`
10×	`cube-prod_binary64_2493`
8×	`cbrt-unprod_binary64_2498`
5×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `unpow3_binary64_2531` `cube-mult_binary64_2495` `-commutative_binary64_2396`

Counts

4 → 188

Calls

4 calls:

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

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series1.1s (7.4%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

496.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
345.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
120.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune609.0ms (4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	217	14	231

Error

0.6b

Counts

231 → 14

Compiler

Compiled 11020 to 6998 computations (36.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 -3/2 (/.f64 (.f64 a c) b))
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)

rewrite486.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

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

Counts

4 → 112

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

Compiler

Compiled 7957 to 4717 computations (40.7% saved)

series723.0ms (4.8%)

Error

0.6b

Counts

4 → 42

Calls

4 calls:

323.0ms	(/.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))
139.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
102.0ms	(pow.f64 (*.f64 a c) 3)
90.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4954	3873
1	4954	3873

prune509.0ms (3.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	148	20	168

Error

0.5b

Counts

168 → 20

Compiler

Compiled 9659 to 6006 computations (37.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
0.6b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite575.0ms (3.8%)

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

Compiler

Compiled 9718 to 5814 computations (40.2% saved)

series613.0ms (4%)

Error

0.5b

Counts

4 → 27

Calls

4 calls:

228.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
153.0ms	(pow.f64 (*.f64 a c) 4)
96.0ms	(pow.f64 (*.f64 a c) 3)
82.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4963	2856
1	4963	2856

prune567.0ms (3.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	197	20	217

Error

0.5b

Counts

217 → 20

Compiler

Compiled 10495 to 5952 computations (43.3% saved)

regimes1.9s (12.8%)

Accuracy

Total 4.8b remaining (88.8%)

Threshold costs 0b (0%)

Compiler

Compiled 31086 to 21188 computations (31.8% saved)

bsearch8.0ms (0.1%)

Steps

Iters	Range		Point
0	0.0021052509558031583	0.002183899229258939	0.0021445750925310485

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	265	118
1	265	118

end0.0ms (0%)

sample5.2s (34.1%)

Algorithm

1×

intervals

Results

396.0ms	7683×	body	128	valid
262.0ms	8974×	pre	128	true
44.0ms	974×	body	128	nan
30.0ms	317×	body	256	valid

Compiler

Compiled 6122 to 4169 computations (31.9% saved)

Details

analyze497.0ms (3.3%)

sample40.0ms (0.3%)

simplify283.0ms (1.9%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite141.0ms (0.9%)

series642.0ms (4.2%)

simplify58.0ms (0.4%)

prune163.0ms (1.1%)

localize37.0ms (0.2%)

rewrite646.0ms (4.3%)

series1.1s (7.4%)

simplify103.0ms (0.7%)

prune609.0ms (4%)

localize32.0ms (0.2%)

rewrite486.0ms (3.2%)

series723.0ms (4.8%)

simplify88.0ms (0.6%)

prune509.0ms (3.4%)

localize31.0ms (0.2%)

rewrite575.0ms (3.8%)

series613.0ms (4%)

simplify59.0ms (0.4%)

prune567.0ms (3.7%)

regimes1.9s (12.8%)

bsearch8.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.2s (34.1%)

Profiling