Details

analyze298.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

28.0ms	140×	body	8192	exit
11.0ms	214×	body	128	valid
3.0ms	25×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify230.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune4.0ms (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

13.3b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3829`
48×	`add-sqr-sqrt_binary64_3851`
38×	`times-frac_binary64_3835`
23×	`add-cube-cbrt_binary64_3864`
10×	`difference-of-squares_binary64_3798`
9×	`associate-/l*_binary64_3774`
8×	`distribute-lft-out_binary64_3780`
7×	`add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
6×	`add-exp-log_binary64_3867`
5×	`add-log-exp_binary64_3868` `distribute-lft-out--_binary64_3781`
3×	`pow1_binary64_3890`
2×	`flip3-+_binary64_3832` `div-inv_binary64_3826` `div-exp_binary64_3880` `flip-+_binary64_3803` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840`
1×	`flip--_binary64_3804` `associate-+r-_binary64_3763` `sum-log_binary64_3920` `flip3--_binary64_3833` `+-commutative_binary64_3759`

Counts

3 → 91

Calls

3 calls:

23.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series342.0ms (4.8%)

Counts

3 → 45

Calls

3 calls:

151.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
134.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
57.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 846 to 635 computations (24.9% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune135.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	132	6	138

Error

0.1b

Counts

138 → 6

Compiler

Compiled 2658 to 1117 computations (58% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3))))
0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.2b	(*.f64 (pow.f64 wj 3) 8/3)
7.6b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_3851`
15×	`associate-l_binary64_3770`
14×	`add-exp-log_binary64_3867`
11×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
9×	`pow1_binary64_3890`
6×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `prod-exp_binary64_3878` `associate-*l/_binary64_3772`
5×	`unswap-sqr_binary64_3797`
4×	`cube-prod_binary64_3857` `unpow-prod-down_binary64_3908` `associate-r_binary64_3769` `cbrt-unprod_binary64_3862` `frac-sub_binary64_3838`
3×	`pow-prod-down_binary64_3900` `cancel-sign-sub-inv_binary64_3795`
2×	`sum-log_binary64_3920` `associate-+r+_binary64_3761` `sqr-pow_binary64_3801` `*-commutative_binary64_3760` `diff-log_binary64_3921`
1×	`flip--_binary64_3804` `cube-mult_binary64_3859` `unpow3_binary64_3895` `pow-exp_binary64_3897` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `+-commutative_binary64_3759` `distribute-lft-in_binary64_3778` `associate--r+_binary64_3765` `pow-to-exp_binary64_3898` `sub-neg_binary64_3822`

Counts

4 → 85

Calls

4 calls:

21.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
12.0ms	(+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3))))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
7.0ms	(*.f64 (pow.f64 wj 3) 8/3)

series717.0ms (10%)

Counts

4 → 39

Calls

4 calls:

360.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
223.0ms	(+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3))))
101.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
32.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 1560 to 1206 computations (22.7% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4991	2999
1	4991	2999

prune198.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Error

0.1b

Counts

130 → 6

Compiler

Compiled 4195 to 2582 computations (38.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_3829`
10×	`add-log-exp_binary64_3868`
5×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
4×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890` `distribute-lft-out_binary64_3780` `cbrt-prod_binary64_3860`
3×	`associate-+r-_binary64_3763` `sum-log_binary64_3920` `div-sub_binary64_3834` `+-commutative_binary64_3759`
2×	`cbrt-div_binary64_3861`
1×	`pow1/3_binary64_3911`

Counts

4 → 53

Calls

4 calls:

22.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
18.0ms	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))

series724.0ms (10.1%)

Counts

4 → 67

Calls

4 calls:

213.0ms	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))
172.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
170.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
168.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

Compiler

Compiled 3828 to 2377 computations (37.9% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4959	2740
1	4959	2740

prune197.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	120	6	126

Error

0.1b

Counts

126 → 6

Compiler

Compiled 5634 to 2531 computations (55.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
5.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite86.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-log-exp_binary64_3868` `*-un-lft-identity_binary64_3829`
4×	`flip3-+_binary64_3832` `associate-+r-_binary64_3763` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `div-sub_binary64_3834` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `add-sqr-sqrt_binary64_3851`

Counts

4 → 52

Calls

4 calls:

22.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

series722.0ms (10.1%)

Counts

4 → 72

Calls

4 calls:

185.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
180.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
179.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
177.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

Compiler

Compiled 5980 to 3224 computations (46.1% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5121	2540

prune307.0ms (4.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	124	6	130

Error

0.1b

Counts

130 → 6

Compiler

Compiled 9104 to 4021 computations (55.8% saved)

regimes212.0ms (3%)

Accuracy

Total 1.6b remaining (94.8%)

Threshold costs 0b (0%)

Compiler

Compiled 2838 to 1695 computations (40.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	103	40
1	103	40

end0.0ms (0%)

sample2.3s (32.4%)

Algorithm

1×

intervals

Results

965.0ms	3808×	body	8192	exit
247.0ms	6559×	body	128	valid
81.0ms	695×	body	512	valid
52.0ms	721×	body	256	valid
4.0ms	87×	body	128	invalid
4.0ms	25×	body	1024	valid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 995 to 599 computations (39.8% saved)

Details

analyze298.0ms (4.2%)

sample53.0ms (0.7%)

simplify230.0ms (3.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite48.0ms (0.7%)

series342.0ms (4.8%)

simplify93.0ms (1.3%)

prune135.0ms (1.9%)

localize18.0ms (0.3%)

rewrite58.0ms (0.8%)

series717.0ms (10%)

simplify92.0ms (1.3%)

prune198.0ms (2.8%)

localize12.0ms (0.2%)

rewrite85.0ms (1.2%)

series724.0ms (10.1%)

simplify93.0ms (1.3%)

prune197.0ms (2.8%)

localize16.0ms (0.2%)

rewrite86.0ms (1.2%)

series722.0ms (10.1%)

simplify75.0ms (1%)

prune307.0ms (4.3%)

regimes212.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.3s (32.4%)

Profiling