Details

analyze883.0ms (3.9%)

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)

sample65.0ms (0.3%)

Algorithm

1×

intervals

Results

22.0ms	248×	body	128	valid
14.0ms	283×	pre	128	true
2.0ms	27×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify526.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (516.0ms)

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

31.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.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))
31.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite249.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

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:

25.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
9.0ms	(.f64 (.f64 3 a) c)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series1.1s (4.7%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

340.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
268.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
264.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
95.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5268	2923

prune286.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.7b

Counts

138 → 10

Compiler

Compiled 3236 to 1803 computations (44.3% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite962.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

109×	`add-exp-log_binary64_2503`
54×	`prod-exp_binary64_2514`
42×	`add-sqr-sqrt_binary64_2487`
30×	`div-exp_binary64_2516`
29×	`add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
24×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`times-frac_binary64_2471` `associate-/r_binary64_2409` `associate-r*_binary64_2405`
16×	`cube-prod_binary64_2493` `unswap-sqr_binary64_2433`
15×	`sqr-pow_binary64_2437`
13×	`associate-l_binary64_2406`
10×	`cbrt-unprod_binary64_2498`
6×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `unpow3_binary64_2531` `cube-mult_binary64_2495`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `-commutative_binary64_2396`

Counts

4 → 178

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
15.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
14.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series1.3s (5.8%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

474.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
369.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
203.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
178.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5093	3032

prune935.0ms (4.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	207	11	218

Error

0.7b

Counts

218 → 11

Compiler

Compiled 10407 to 6478 computations (37.8% saved)

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite1.3s (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

88×	`add-exp-log_binary64_2503`
68×	`times-frac_binary64_2471`
46×	`pow1_binary64_2526`
42×	`unpow-prod-down_binary64_2544`
39×	`add-cbrt-cube_binary64_2501`
37×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
36×	`prod-exp_binary64_2514`
27×	`div-exp_binary64_2516`
20×	`sqr-pow_binary64_2437`
19×	`associate-/r*_binary64_2409`
18×	`pow-prod-down_binary64_2536`
17×	`pow-exp_binary64_2533` `cbrt-unprod_binary64_2498`
15×	`cube-prod_binary64_2493`
13×	`pow-to-exp_binary64_2534`
11×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
9×	`associate-/l*_binary64_2410`
6×	`cbrt-undiv_binary64_2499`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
3×	`pow-unpow_binary64_2542`
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`
1×	`pow2_binary64_2546` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 205

Calls

4 calls:

23.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
19.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
13.0ms	(.f64 (.f64 a c) (*.f64 a c))
7.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12069 to 7095 computations (41.2% saved)

series1.4s (6.2%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

577.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
411.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
164.0ms	(pow.f64 (*.f64 a c) 3)
150.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4680 to 3396 computations (27.4% saved)

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5132	3471

prune1.4s (6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	234	12	246

Error

0.7b

Counts

246 → 12

Compiler

Compiled 13099 to 8064 computations (38.4% saved)

localize68.0ms (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 (.f64 a (.f64 c c)) (pow.f64 b 3))
35.4b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite900.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

97×	`add-exp-log_binary64_2503`
45×	`prod-exp_binary64_2514`
30×	`div-exp_binary64_2516`
27×	`add-cbrt-cube_binary64_2501`
26×	`times-frac_binary64_2471`
24×	`add-sqr-sqrt_binary64_2487`
21×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`unpow-prod-down_binary64_2544` `associate-/r*_binary64_2409`
18×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
12×	`log-pow_binary64_2554` `associate-r_binary64_2405`
11×	`exp-prod_binary64_2517`
10×	`cube-prod_binary64_2493`
9×	`cbrt-unprod_binary64_2498`
7×	`sqr-pow_binary64_2437`
6×	`cbrt-undiv_binary64_2499`
5×	`pow1_binary64_2526`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
3×	`div-inv_binary64_2462` `log-prod_binary64_2551` `unpow3_binary64_2531` `cube-mult_binary64_2495`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l*_binary64_2410`
1×	`rem-log-exp_binary64_2506` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 152

Calls

4 calls:

20.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
17.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
17.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
11.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

Compiler

Compiled 8216 to 5239 computations (36.2% saved)

series2.2s (9.5%)

Error

0.7b

Counts

4 → 33

Calls

4 calls:

981.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
497.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
408.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
178.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4629 to 3556 computations (23.2% saved)

simplify148.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5143	2841

prune908.0ms (4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	184	13	197

Error

0.7b

Counts

197 → 13

Compiler

Compiled 9269 to 5912 computations (36.2% saved)

regimes1.7s (7.3%)

Accuracy

Total 5.0b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 13701 to 10033 computations (26.8% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample6.1s (26.6%)

Algorithm

1×

intervals

Results

732.0ms	7704×	body	128	valid
500.0ms	9021×	pre	128	true
89.0ms	1021×	body	128	nan
59.0ms	296×	body	256	valid

Compiler

Compiled 2631 to 1934 computations (26.5% saved)

Details

analyze883.0ms (3.9%)

sample65.0ms (0.3%)

simplify526.0ms (2.3%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite249.0ms (1.1%)

series1.1s (4.7%)

simplify99.0ms (0.4%)

prune286.0ms (1.2%)

localize58.0ms (0.3%)

rewrite962.0ms (4.2%)

series1.3s (5.8%)

simplify154.0ms (0.7%)

prune935.0ms (4.1%)

localize59.0ms (0.3%)

rewrite1.3s (5.5%)

series1.4s (6.2%)

simplify166.0ms (0.7%)

prune1.4s (6%)

localize68.0ms (0.3%)

rewrite900.0ms (3.9%)

series2.2s (9.5%)

simplify148.0ms (0.6%)

prune908.0ms (4%)

regimes1.7s (7.3%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample6.1s (26.6%)

Profiling