Details

analyze616.0ms (2.4%)

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)

sample52.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	100×	body	256	valid
10.0ms	284×	pre	128	true
10.0ms	156×	body	128	valid
2.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify355.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (344.0ms)

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

43.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize18.0ms (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)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
37.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite211.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

40.8b

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:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series803.0ms (3.1%)

Error

0.6b

Counts

4 → 60

Calls

4 calls:

252.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
233.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
168.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
70.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5268	2923

prune203.0ms (0.8%)

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

0.4b

Counts

138 → 13

Compiler

Compiled 3304 to 1853 computations (43.9% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.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))

rewrite831.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

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:

17.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
10.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series1.1s (4.2%)

Error

0.4b

Counts

4 → 30

Calls

4 calls:

385.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
338.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
150.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
147.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune844.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	218	13	231

Error

0.4b

Counts

231 → 13

Compiler

Compiled 10932 to 6936 computations (36.6% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.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))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite874.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

59×	`times-frac_binary64_2471`
46×	`pow1_binary64_2526`
44×	`add-exp-log_binary64_2503`
36×	`unpow-prod-down_binary64_2544`
33×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
26×	`add-cbrt-cube_binary64_2501`
18×	`pow-prod-down_binary64_2536` `sqr-pow_binary64_2437`
14×	`div-exp_binary64_2516`
13×	`prod-exp_binary64_2514`
12×	`pow-exp_binary64_2533`
11×	`associate-/l*_binary64_2410`
10×	`cbrt-unprod_binary64_2498` `associate-*r/_binary64_2407`
9×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493`
8×	`pow-to-exp_binary64_2534` `associate-/r*_binary64_2409`
7×	`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` `cbrt-undiv_binary64_2499`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`pow2_binary64_2546` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396` `div-sub_binary64_2470` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 179

Calls

4 calls:

43.0ms	(/.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))
13.0ms	(.f64 (.f64 a c) (*.f64 a c))
9.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12142 to 7222 computations (40.5% saved)

series1.1s (4.3%)

Error

0.4b

Counts

4 → 42

Calls

4 calls:

414.0ms	(/.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))
364.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
119.0ms	(pow.f64 (*.f64 a c) 3)
114.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4949	5567
1	4949	5567

prune1.0s (4.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	214	7	221
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	217	17	234

Error

0.4b

Counts

234 → 17

Compiler

Compiled 13856 to 8495 computations (38.7% saved)

localize98.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (*.f64 a c) 3)
0.7b	(pow.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)))) 3)
0.8b	(pow.f64 (*.f64 a c) 4)
0.8b	(pow.f64 (*.f64 a c) 4)

rewrite2.3s (9%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

14×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
12×	`pow-unpow_binary64_2542`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
8×	`add-cbrt-cube_binary64_2501`
7×	`pow-pow_binary64_2537` `pow-exp_binary64_2533`
6×	`unpow-prod-down_binary64_2544`
4×	`pow-to-exp_binary64_2534` `add-log-exp_binary64_2504` `sqr-pow_binary64_2437` `cube-prod_binary64_2493`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cube-div_binary64_2494` `rem-cube-cbrt_binary64_2488`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `associate-*r/_binary64_2407`
1×	`frac-add_binary64_2473` `flip3-+_binary64_2468` `flip-+_binary64_2439` `cbrt-unprod_binary64_2498`

Counts

4 → 82

Calls

4 calls:

17.0ms	(pow.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)))) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 23337 to 14945 computations (36% saved)

series2.1s (8.2%)

Error

0.4b

Counts

4 → 35

Calls

4 calls:

739.0ms	(pow.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)))) 3)
272.0ms	(pow.f64 (*.f64 a c) 4)
237.0ms	(pow.f64 (*.f64 a c) 3)
229.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 26561 to 17688 computations (33.4% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4969	2362
1	4969	2362

prune3.2s (12.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	117	17	134

Error

0.4b

Counts

134 → 17

Compiler

Compiled 32403 to 20933 computations (35.4% saved)

regimes2.2s (8.6%)

Accuracy

Total 2.4b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 33272 to 22326 computations (32.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample7.1s (27.7%)

Algorithm

1×

intervals

Results

348.0ms	2941×	body	256	valid
334.0ms	8868×	pre	128	true
331.0ms	5059×	body	128	valid
51.0ms	868×	body	128	nan

Compiler

Compiled 6549 to 4396 computations (32.9% saved)

Details

analyze616.0ms (2.4%)

sample52.0ms (0.2%)

simplify355.0ms (1.4%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite211.0ms (0.8%)

series803.0ms (3.1%)

simplify79.0ms (0.3%)

prune203.0ms (0.8%)

localize50.0ms (0.2%)

rewrite831.0ms (3.3%)

series1.1s (4.2%)

simplify116.0ms (0.5%)

prune844.0ms (3.3%)

localize40.0ms (0.2%)

rewrite874.0ms (3.4%)

series1.1s (4.3%)

simplify150.0ms (0.6%)

prune1.0s (4.1%)

localize98.0ms (0.4%)

rewrite2.3s (9%)

series2.1s (8.2%)

simplify72.0ms (0.3%)

prune3.2s (12.7%)

regimes2.2s (8.6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample7.1s (27.7%)

Profiling