Details

analyze841.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4908	36
1	4908	36
0	2	2
1	2	2

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)

sample95.0ms (0.6%)

Algorithm

1×

intervals

Results

49.0ms	127×	body	8192	exit
13.0ms	208×	body	128	valid
5.0ms	26×	body	512	valid
3.0ms	22×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify236.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune7.0ms (0%)

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

13.2b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite258.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

12.9b

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` `flip-+_binary64_3803` `div-sub_binary64_3834` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775`
1×	`sum-log_binary64_3920` `associate-+r-_binary64_3763` `+-commutative_binary64_3759` `flip3--_binary64_3833` `flip--_binary64_3804`

Counts

3 → 91

Calls

3 calls:

32.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
24.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
13.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series745.0ms (5.1%)

Error

0.1b

Counts

3 → 45

Calls

3 calls:

287.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
262.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
120.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1534 to 998 computations (34.9% saved)

simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune214.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Error

0.1b

Counts

138 → 4

Compiler

Compiled 2594 to 1090 computations (58% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.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))))))
0.0b	(-.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)
8.5b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite455.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64_3851`
18×	`add-log-exp_binary64_3868`
15×	`associate-l_binary64_3770`
14×	`add-exp-log_binary64_3867`
13×	`*-un-lft-identity_binary64_3829`
11×	`add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
9×	`pow1_binary64_3890`
6×	`prod-exp_binary64_3878` `flip3-+_binary64_3832` `associate-*l/_binary64_3772` `flip-+_binary64_3803` `cancel-sign-sub-inv_binary64_3795`
5×	`unswap-sqr_binary64_3797` `sum-log_binary64_3920`
4×	`cbrt-unprod_binary64_3862` `associate-r_binary64_3769` `unpow-prod-down_binary64_3908` `cube-prod_binary64_3857` `diff-log_binary64_3921` `frac-sub_binary64_3838` `associate-+r+_binary64_3761`
3×	`pow-prod-down_binary64_3900`
2×	`*-commutative_binary64_3760` `sqr-pow_binary64_3801` `sub-neg_binary64_3822`
1×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `unpow3_binary64_3895` `cube-mult_binary64_3859` `flip3--_binary64_3833` `flip--_binary64_3804` `associate--r+_binary64_3765` `distribute-lft-out_binary64_3780` `associate-+r-_binary64_3763` `+-commutative_binary64_3759`

Counts

4 → 91

Calls

4 calls:

38.0ms	(-.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)))))
37.0ms	(+.f64 x (-.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))))))
19.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
13.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3958 to 2501 computations (36.8% saved)

series1.5s (9.9%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

621.0ms	(-.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)))))
462.0ms	(+.f64 x (-.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))))))
211.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
62.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2614 to 1947 computations (25.5% saved)

simplify167.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5131	3669

prune396.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	134	6	140

Error

0.1b

Counts

140 → 6

Compiler

Compiled 4572 to 2947 computations (35.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
0.0b	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
0.2b	(*.f64 8/3 (pow.f64 wj 3))
8.5b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

rewrite436.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary64_3851`
17×	`-un-lft-identity_binary64_3829` `associate-r*_binary64_3769`
14×	`add-exp-log_binary64_3867` `cancel-sign-sub-inv_binary64_3795`
13×	`add-cube-cbrt_binary64_3864`
12×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
11×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
10×	`associate-*r/_binary64_3771` `associate-+l+_binary64_3762`
9×	`pow1_binary64_3890`
6×	`prod-exp_binary64_3878` `sub-neg_binary64_3822`
5×	`unswap-sqr_binary64_3797` `flip3--_binary64_3833` `flip--_binary64_3804` `associate-+r+_binary64_3761`
4×	`cbrt-unprod_binary64_3862` `associate--l+_binary64_3766` `associate-l_binary64_3770` `unpow-prod-down_binary64_3908` `cube-prod_binary64_3857` `sum-log_binary64_3920` `frac-add_binary64_3837`
3×	`pow-prod-down_binary64_3900`
2×	`*-commutative_binary64_3760` `sqr-pow_binary64_3801` `flip3-+_binary64_3832` `flip-+_binary64_3803` `+-commutative_binary64_3759`
1×	`difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `unpow3_binary64_3895` `cube-mult_binary64_3859` `distribute-lft-out_binary64_3780`

Counts

4 → 107

Calls

4 calls:

27.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
25.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
21.0ms	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
12.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 4147 to 2707 computations (34.7% saved)

series1.5s (10.4%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

664.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
439.0ms	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
253.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
64.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 2720 to 2066 computations (24% saved)

simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5069	3976

prune416.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Error

0.1b

Counts

161 → 6

Compiler

Compiled 4798 to 3258 computations (32.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite103.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-cbrt-cube_binary64_3865`
8×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
7×	`add-exp-log_binary64_3867`
6×	`add-cube-cbrt_binary64_3864`
4×	`pow1_binary64_3890` `associate-r/_binary64_3771` `associate-r*_binary64_3769`
3×	`associate-l_binary64_3770` `times-frac_binary64_3835` `associate-/l*_binary64_3774`
2×	`prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `flip3-+_binary64_3832` `flip-+_binary64_3803` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r/_binary64_3775`
1×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `distribute-lft-out_binary64_3780` `-commutative_binary64_3760` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/r_binary64_3773`

Counts

2 → 46

Calls

2 calls:

19.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
16.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))

Compiler

Compiled 671 to 381 computations (43.2% saved)

series308.0ms (2.1%)

Error

0.1b

Counts

2 → 23

Calls

2 calls:

206.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
72.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))

Compiler

Compiled 644 to 381 computations (40.8% saved)

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4926	951
1	4926	951

prune81.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Error

0.1b

Counts

75 → 6

Compiler

Compiled 837 to 452 computations (46% saved)

regimes1.0s (6.9%)

Accuracy

Total 0.4b remaining (83.5%)

Threshold costs 0.4b (83.5%)

Compiler

Compiled 4623 to 3051 computations (34% saved)

bsearch7.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	678	91
1	678	91

end0.0ms (0%)

sample5.3s (36.3%)

Algorithm

1×

intervals

Results

1.5s	3809×	body	8192	exit
440.0ms	6510×	body	128	valid
159.0ms	715×	body	512	valid
110.0ms	757×	body	256	valid
7.0ms	90×	body	128	invalid
5.0ms	18×	body	1024	valid
1.0ms	9×	body	128	overflowed

Compiler

Compiled 1623 to 1068 computations (34.2% saved)

Details

analyze841.0ms (5.7%)

sample95.0ms (0.6%)

simplify236.0ms (1.6%)

prune7.0ms (0%)

localize15.0ms (0.1%)

rewrite258.0ms (1.8%)

series745.0ms (5.1%)

simplify159.0ms (1.1%)

prune214.0ms (1.5%)

localize35.0ms (0.2%)

rewrite455.0ms (3.1%)

series1.5s (9.9%)

simplify167.0ms (1.1%)

prune396.0ms (2.7%)

localize34.0ms (0.2%)

rewrite436.0ms (3%)

series1.5s (10.4%)

simplify162.0ms (1.1%)

prune416.0ms (2.8%)

localize11.0ms (0.1%)

rewrite103.0ms (0.7%)

series308.0ms (2.1%)

simplify151.0ms (1%)

prune81.0ms (0.5%)

regimes1.0s (6.9%)

bsearch7.0ms (0%)

simplify50.0ms (0.3%)

end0.0ms (0%)

sample5.3s (36.3%)

Profiling