Details

analyze470.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	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)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
8.0ms	280×	pre	128	true
1.0ms	24×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify308.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (302.0ms)

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

28.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
28.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite144.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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:

15.0ms	(/.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))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series686.0ms (5.3%)

Error

1.1b

Counts

4 → 72

Calls

4 calls:

201.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
156.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune164.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	134	12	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	12	147

Error

0.8b

Counts

147 → 12

Compiler

Compiled 3538 to 1919 computations (45.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite527.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

156×	`add-exp-log_binary64_2503`
72×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
46×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
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×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
12×	`associate-r_binary64_2405`
10×	`cbrt-unprod_binary64_2498` `cube-prod_binary64_2493`
8×	`cbrt-undiv_binary64_2499` `sqr-pow_binary64_2437`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `unswap-sqr_binary64_2433`
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×	`associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 186

Calls

4 calls:

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

Compiler

Compiled 8813 to 5217 computations (40.8% saved)

series964.0ms (7.4%)

Error

0.8b

Counts

4 → 33

Calls

4 calls:

316.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
275.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
219.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
100.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4059 to 2950 computations (27.3% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune554.0ms (4.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	216	15	231

Error

0.8b

Counts

231 → 15

Compiler

Compiled 10150 to 6082 computations (40.1% saved)

localize31.0ms (0.2%)

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

rewrite625.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

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:

12.0ms	(/.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)

series784.0ms (6%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

299.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
242.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
92.0ms	(.f64 (.f64 a c) (*.f64 a c))
91.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune666.0ms (5.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	234	16	250

Error

0.8b

Counts

250 → 16

Compiler

Compiled 12833 to 7728 computations (39.8% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
27.4b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite537.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

143×	`add-exp-log_binary64_2503`
63×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
44×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
33×	`times-frac_binary64_2471`
27×	`add-cbrt-cube_binary64_2501`
26×	`associate-/r*_binary64_2409`
22×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
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×	`div-inv_binary64_2462` `add-log-exp_binary64_2504`
3×	`log-prod_binary64_2551` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `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))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
7.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8775 to 5384 computations (38.6% saved)

series1.7s (12.8%)

Error

0.8b

Counts

4 → 38

Calls

4 calls:

779.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
325.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
290.0ms	(/.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))

Compiler

Compiled 4744 to 3458 computations (27.1% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5126	3610

prune601.0ms (4.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	1	12	13
Picked	0	1	1
Done	0	2	2
Total	213	17	230

Error

0.8b

Counts

230 → 17

Compiler

Compiled 9831 to 6019 computations (38.8% saved)

regimes757.0ms (5.8%)

Accuracy

Total 4.8b remaining (87.1%)

Threshold costs 0b (0%)

Compiler

Compiled 10368 to 7510 computations (27.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	135
1	181	135

end0.0ms (0%)

sample3.1s (23.8%)

Algorithm

1×

intervals

Results

383.0ms	7728×	body	128	valid
269.0ms	8868×	pre	128	true
39.0ms	868×	body	128	nan
29.0ms	272×	body	256	valid

Compiler

Compiled 2702 to 1951 computations (27.8% saved)

Details

analyze470.0ms (3.6%)

sample36.0ms (0.3%)

simplify308.0ms (2.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite144.0ms (1.1%)

series686.0ms (5.3%)

simplify72.0ms (0.6%)

prune164.0ms (1.3%)

localize27.0ms (0.2%)

rewrite527.0ms (4%)

series964.0ms (7.4%)

simplify92.0ms (0.7%)

prune554.0ms (4.2%)

localize31.0ms (0.2%)

rewrite625.0ms (4.8%)

series784.0ms (6%)

simplify86.0ms (0.7%)

prune666.0ms (5.1%)

localize28.0ms (0.2%)

rewrite537.0ms (4.1%)

series1.7s (12.8%)

simplify87.0ms (0.7%)

prune601.0ms (4.6%)

regimes757.0ms (5.8%)

bsearch6.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (23.8%)

Profiling