Details

analyze266.0ms (2.2%)

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)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	286×	pre	128	true
9.0ms	89×	body	256	valid
8.0ms	167×	body	128	valid
1.0ms	30×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify409.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (318.0ms)

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

40.6b

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)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
36.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite150.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

37.7b

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` `sqrt-prod_binary64_2481` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412` `sqrt-div_binary64_2482`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 74

Calls

4 calls:

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

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series680.0ms (5.7%)

Error

0.8b

Counts

4 → 72

Calls

4 calls:

211.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
147.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
146.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
104.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune167.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Error

0.6b

Counts

147 → 13

Compiler

Compiled 3559 to 1932 computations (45.7% saved)

localize25.0ms (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))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite591.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

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

Counts

4 → 202

Calls

4 calls:

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

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series952.0ms (8%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

324.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
261.0ms	(/.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))
105.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5089	3808

prune601.0ms (5.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	235	13	248

Error

0.6b

Counts

248 → 13

Compiler

Compiled 10863 to 6443 computations (40.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite724.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11659 to 6685 computations (42.7% saved)

series769.0ms (6.5%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

307.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
222.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
96.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune730.0ms (6.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	235	13	248

Error

0.6b

Counts

248 → 13

Compiler

Compiled 12721 to 7637 computations (40% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite429.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

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:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
6.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8789 to 4430 computations (49.6% saved)

series694.0ms (5.9%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

278.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
207.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
91.0ms	(pow.f64 (*.f64 a c) 3)
75.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3240 to 2226 computations (31.3% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune440.0ms (3.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	235	13	248

Error

0.6b

Counts

248 → 13

Compiler

Compiled 9020 to 4774 computations (47.1% saved)

regimes610.0ms (5.1%)

Accuracy

Total 2.5b remaining (88%)

Threshold costs 0b (0%)

Compiler

Compiled 9128 to 6498 computations (28.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.1s (26.6%)

Algorithm

1×

intervals

Results

483.0ms	2994×	body	256	valid
269.0ms	8910×	pre	128	true
249.0ms	5003×	body	128	valid
41.0ms	910×	body	128	nan
0.0ms	3×	body	512	valid

Compiler

Compiled 2343 to 1671 computations (28.7% saved)

Details

analyze266.0ms (2.2%)

sample44.0ms (0.4%)

simplify409.0ms (3.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite150.0ms (1.3%)

series680.0ms (5.7%)

simplify78.0ms (0.7%)

prune167.0ms (1.4%)

localize25.0ms (0.2%)

rewrite591.0ms (5%)

series952.0ms (8%)

simplify98.0ms (0.8%)

prune601.0ms (5.1%)

localize30.0ms (0.3%)

rewrite724.0ms (6.1%)

series769.0ms (6.5%)

simplify89.0ms (0.7%)

prune730.0ms (6.2%)

localize22.0ms (0.2%)

rewrite429.0ms (3.6%)

series694.0ms (5.9%)

simplify91.0ms (0.8%)

prune440.0ms (3.7%)

regimes610.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (26.6%)

Profiling