Details

analyze267.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5050	41
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5050	41

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 2

Compiler

Compiled 119 to 75 computations (37% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 4))
0.1b	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)

rewrite303.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64_3510`
30×	`associate-r_binary64_3428`
23×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
20×	`times-frac_binary64_3494`
19×	`add-exp-log_binary64_3526`
16×	`add-cbrt-cube_binary64_3524`
13×	`sqrt-prod_binary64_3504`
12×	`pow1_binary64_3549`
9×	`associate-l_binary64_3429`
8×	`prod-exp_binary64_3537`
7×	`unswap-sqr_binary64_3456`
6×	`cbrt-unprod_binary64_3521`
4×	`add-log-exp_binary64_3527` `pow-prod-down_binary64_3559` `unpow-prod-down_binary64_3567`
3×	`*-commutative_binary64_3419`
2×	`sqr-pow_binary64_3460`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `associate-*r/_binary64_3430` `div-inv_binary64_3485` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556`

Counts

4 → 99

Calls

4 calls:

18.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
9.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/5 (pow.f64 x 4))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3378 to 2265 computations (32.9% saved)

series377.0ms (4.6%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

255.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
54.0ms	(*.f64 1/5 (pow.f64 x 4))
43.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1020 to 814 computations (20.2% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5630	2794

prune216.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	114	5	119

Error

0.0b

Counts

119 → 5

Compiler

Compiled 2767 to 1873 computations (32.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
0.3b	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite424.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`add-sqr-sqrt_binary64_3510`
84×	`sqrt-prod_binary64_3504`
78×	`times-frac_binary64_3494`
45×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
34×	`associate-l_binary64_3429`
32×	`associate-r_binary64_3428`
21×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
17×	`unswap-sqr_binary64_3456`
13×	`pow1_binary64_3549`
7×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
4×	`add-log-exp_binary64_3527` `pow-prod-down_binary64_3559` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `div-inv_binary64_3485` `*-commutative_binary64_3419`
1×	`frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430`

Counts

4 → 143

Calls

4 calls:

36.0ms	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
6.0ms	(.f64 2/3 (.f64 x x))
3.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 5199 to 2930 computations (43.6% saved)

series298.0ms (3.6%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

237.0ms	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
43.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 873 to 678 computations (22.3% saved)

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4950	6154
1	4950	6154

prune290.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	158	5	163

Error

Counts

163 → 5

Compiler

Compiled 4043 to 2368 computations (41.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 PI.f64))))
0.4b	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)

rewrite394.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-sqr-sqrt_binary64_3510`
55×	`times-frac_binary64_3494`
40×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
31×	`associate-r_binary64_3428`
22×	`sqrt-prod_binary64_3504`
18×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
17×	`cbrt-prod_binary64_3519`
13×	`associate-l_binary64_3429`
8×	`unswap-sqr_binary64_3456`
6×	`pow1_binary64_3549`
5×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
4×	`add-log-exp_binary64_3527` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
3×	`div-inv_binary64_3485` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
2×	`pow1/3_binary64_3570`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `pow-prod-down_binary64_3559` `frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419`

Counts

4 → 121

Calls

4 calls:

30.0ms	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 PI.f64))))
3.0ms	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 5370 to 2978 computations (44.5% saved)

series538.0ms (6.5%)

Error

Counts

4 → 15

Calls

4 calls:

454.0ms	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 PI.f64))))
58.0ms	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 1104 to 885 computations (19.8% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	5473
1	4959	5473

prune298.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Error

Counts

141 → 5

Compiler

Compiled 4589 to 2577 computations (43.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
0.3b	(.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64)))) (/.f64 1 (sqrt.f64 (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite492.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`sqrt-prod_binary64_3504`
62×	`associate-r_binary64_3428`
58×	`add-sqr-sqrt_binary64_3510`
57×	`times-frac_binary64_3494`
48×	`add-exp-log_binary64_3526`
45×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
30×	`add-cbrt-cube_binary64_3524`
22×	`prod-exp_binary64_3537`
13×	`pow1_binary64_3549`
12×	`cbrt-unprod_binary64_3521`
11×	`div-exp_binary64_3539`
6×	`cbrt-undiv_binary64_3522`
4×	`add-log-exp_binary64_3527` `pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `associate-l*_binary64_3429` `unswap-sqr_binary64_3456`
3×	`1-exp_binary64_3532` `rec-exp_binary64_3538`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501` `div-inv_binary64_3485` `*-commutative_binary64_3419`
1×	`frac-times_binary64_3498` `un-div-inv_binary64_3486` `associate-*l/_binary64_3431`

Counts

4 → 142

Calls

4 calls:

32.0ms	(.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64)))) (/.f64 1 (sqrt.f64 (sqrt.f64 PI.f64))))
22.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 5990 to 3678 computations (38.6% saved)

series623.0ms (7.5%)

Error

Counts

4 → 24

Calls

4 calls:

343.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
238.0ms	(.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64)))) (/.f64 1 (sqrt.f64 (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1482 to 1145 computations (22.7% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	6101	6352

prune265.0ms (3.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	166	5	171

Error

Counts

171 → 5

Compiler

Compiled 3865 to 2407 computations (37.7% saved)

regimes1.5s (17.6%)

Accuracy

Total 0.1b remaining (94%)

Threshold costs 0.1b (94%)

Compiler

Compiled 17407 to 13174 computations (24.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	58
1	38	58

end3.0ms (0%)

Compiler: Compiled 36 to 29 computations (19.4% saved)

sample1.4s (16.6%)

Algorithm

1×

intervals

Results

760.0ms	8000×	body	128	valid
99.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 267 to 192 computations (28.1% saved)

Details

analyze267.0ms (3.2%)

sample40.0ms (0.5%)

simplify121.0ms (1.5%)

prune8.0ms (0.1%)

localize19.0ms (0.2%)

rewrite303.0ms (3.7%)

series377.0ms (4.6%)

simplify70.0ms (0.8%)

prune216.0ms (2.6%)

localize22.0ms (0.3%)

rewrite424.0ms (5.1%)

series298.0ms (3.6%)

simplify122.0ms (1.5%)

prune290.0ms (3.5%)

localize24.0ms (0.3%)

rewrite394.0ms (4.8%)

series538.0ms (6.5%)

simplify108.0ms (1.3%)

prune298.0ms (3.6%)

localize25.0ms (0.3%)

rewrite492.0ms (6%)

series623.0ms (7.5%)

simplify82.0ms (1%)

prune265.0ms (3.2%)

regimes1.5s (17.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end3.0ms (0%)

sample1.4s (16.6%)

Profiling