Details

analyze267.0ms (2.7%)

Algorithm

1×

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)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	103×	body	256	valid
9.0ms	294×	pre	128	true
8.0ms	153×	body	128	valid
2.0ms	38×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify407.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	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

44.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
42.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `sqrt-prod_binary64_2481` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `flip3--_binary64_2469`
3×	`distribute-lft-out--_binary64_2417`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `diff-log_binary64_2557` `sqrt-div_binary64_2482`
1×	`associate-/r*_binary64_2409` `pow1/2_binary64_2545` `clear-num_binary64_2464` `div-sub_binary64_2470` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483` `cbrt-unprod_binary64_2498`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series634.0ms (6.4%)

Counts

4 → 72

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
164.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
152.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
111.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune190.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Error

0.4b

Counts

147 → 8

Compiler

Compiled 3375 to 1904 computations (43.6% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
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))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite59.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_2503`
72×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
46×	`pow-exp_binary64_2533` `pow-to-exp_binary64_2534`
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×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`associate-r_binary64_2405`
10×	`cube-prod_binary64_2493` `cbrt-unprod_binary64_2498`
8×	`cbrt-undiv_binary64_2499` `sqr-pow_binary64_2437`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `pow1_binary64_2526`
3×	`unpow3_binary64_2531` `clear-num_binary64_2464` `cube-mult_binary64_2495` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `associate-/l*_binary64_2410`
1×	`-commutative_binary64_2396` `associate-l*_binary64_2406`

Counts

4 → 186

Calls

4 calls:

10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

series928.0ms (9.4%)

Counts

4 → 33

Calls

4 calls:

330.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
280.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
209.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2706 to 2094 computations (22.6% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune507.0ms (5.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	217	10	227

Error

0.4b

Counts

227 → 10

Compiler

Compiled 9944 to 5945 computations (40.2% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`add-exp-log_binary64_2503`
70×	`prod-exp_binary64_2514`
63×	`times-frac_binary64_2471`
42×	`div-exp_binary64_2516`
40×	`pow-exp_binary64_2533`
39×	`unpow-prod-down_binary64_2544`
37×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526`
36×	`pow-to-exp_binary64_2534`
35×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
30×	`add-cbrt-cube_binary64_2501`
19×	`sqr-pow_binary64_2437`
16×	`pow-prod-down_binary64_2536`
13×	`cbrt-unprod_binary64_2498`
12×	`associate-l_binary64_2406`
9×	`unpow3_binary64_2531` `cube-prod_binary64_2493` `cube-mult_binary64_2495`
8×	`associate-/l*_binary64_2410`
7×	`associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `pow-plus_binary64_2528` `associate-r_binary64_2405` `pow-prod-up_binary64_2535`
3×	`cbrt-undiv_binary64_2499` `pow-unpow_binary64_2542`
2×	`rem-cube-cbrt_binary64_2488` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `div-inv_binary64_2462` `pow-pow_binary64_2537` `pow2_binary64_2546` `pow-sqr_binary64_2438`
1×	`associate-*l/_binary64_2408` `clear-num_binary64_2464` `frac-2neg_binary64_2476`

Counts

4 → 204

Calls

4 calls:

11.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
9.0ms	(.f64 (.f64 a a) (*.f64 c c))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

series841.0ms (8.5%)

Counts

4 → 30

Calls

4 calls:

344.0ms	(.f64 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)) -10)
312.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
101.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 3000 to 2274 computations (24.2% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4948	3725
1	4948	3725

prune717.0ms (7.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	234	10	244

Error

0.4b

Counts

244 → 10

Compiler

Compiled 12602 to 7368 computations (41.5% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
19.2b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`add-exp-log_binary64_2503`
63×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
44×	`pow-exp_binary64_2533` `pow-to-exp_binary64_2534`
33×	`times-frac_binary64_2471`
27×	`add-cbrt-cube_binary64_2501`
26×	`associate-/r*_binary64_2409`
22×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
21×	`unpow-prod-down_binary64_2544`
12×	`log-pow_binary64_2554`
11×	`exp-prod_binary64_2517`
8×	`cbrt-undiv_binary64_2499`
7×	`sqr-pow_binary64_2437` `cbrt-unprod_binary64_2498`
6×	`cube-prod_binary64_2493`
5×	`pow1_binary64_2526`
4×	`add-log-exp_binary64_2504` `div-inv_binary64_2462`
3×	`log-prod_binary64_2551` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `associate-/l*_binary64_2410`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495`
1×	`rem-log-exp_binary64_2506`

Counts

4 → 176

Calls

4 calls:

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 (.f64 a (.f64 c c)) (pow.f64 b 3))
5.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

series1.4s (13.8%)

Counts

4 → 36

Calls

4 calls:

558.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
323.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
273.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
202.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 3080 to 2414 computations (21.6% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5150	3608

prune731.0ms (7.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	212	10	222

Error

0.4b

Counts

222 → 10

Compiler

Compiled 9769 to 5969 computations (38.9% saved)

regimes379.0ms (3.8%)

Accuracy

Total 2.6b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 5148 to 3826 computations (25.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample2.2s (22.2%)

Algorithm

1×

intervals

Results

275.0ms	2801×	body	256	valid
271.0ms	8962×	pre	128	true
260.0ms	5199×	body	128	valid
51.0ms	962×	body	128	nan

Compiler

Compiled 1348 to 1003 computations (25.6% saved)

Details

analyze267.0ms (2.7%)

sample38.0ms (0.4%)

simplify407.0ms (4.1%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite35.0ms (0.4%)

series634.0ms (6.4%)

simplify76.0ms (0.8%)

prune190.0ms (1.9%)

localize26.0ms (0.3%)

rewrite59.0ms (0.6%)

series928.0ms (9.4%)

simplify88.0ms (0.9%)

prune507.0ms (5.1%)

localize31.0ms (0.3%)

rewrite68.0ms (0.7%)

series841.0ms (8.5%)

simplify96.0ms (1%)

prune717.0ms (7.3%)

localize31.0ms (0.3%)

rewrite56.0ms (0.6%)

series1.4s (13.8%)

simplify87.0ms (0.9%)

prune731.0ms (7.4%)

regimes379.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (22.2%)

Profiling