Details

analyze297.0ms (6.5%)

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)

sample52.0ms (1.1%)

Algorithm

1×

intervals

Results

27.0ms	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)

simplify227.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

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)

localize7.0ms (0.2%)

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)))

rewrite53.0ms (1.1%)

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:

25.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
15.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series121.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
41.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
32.0ms	(/.f64 x (exp.f64 wj))

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4946	2095
1	4946	2095

prune107.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	96	6	102

Error

0.3b

Counts

102 → 6

Compiler

Compiled 2110 to 868 computations (58.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_3851`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
3×	`associate-r_binary64_3769` `associate-l_binary64_3770`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-+r+_binary64_3761` `distribute-rgt-in_binary64_3779` `associate-*r/_binary64_3771` `distribute-lft-in_binary64_3778`
1×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `sum-log_binary64_3920` `prod-exp_binary64_3878` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
3.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

series58.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
26.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4970	598
1	4970	598

prune42.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	39	8	47

Error

0.3b

Counts

47 → 8

Compiler

Compiled 750 to 452 computations (39.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series367.0ms (8%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
92.0ms	(cbrt.f64 wj)
90.0ms	(cbrt.f64 wj)
85.0ms	(cbrt.f64 wj)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune85.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Error

0.3b

Counts

93 → 10

Compiler

Compiled 1761 to 850 computations (51.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj))
0.3b	(.f64 (pow.f64 (.f64 wj wj) 1/3) (.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj)))
0.6b	(cbrt.f64 wj)
29.4b	(pow.f64 (*.f64 wj wj) 1/3)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary64_3867`
16×	`prod-exp_binary64_3878`
14×	`pow1_binary64_3890` `add-sqr-sqrt_binary64_3851`
11×	`add-cbrt-cube_binary64_3865`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
8×	`associate-l_binary64_3770`
7×	`cbrt-prod_binary64_3860` `associate-r_binary64_3769` `cbrt-unprod_binary64_3862`
6×	`pow-exp_binary64_3897` `pow-pow_binary64_3901`
4×	`add-log-exp_binary64_3868` `associate-*l/_binary64_3772`
3×	`unpow1/3_binary64_3896` `pow-unpow_binary64_3906` `pow-to-exp_binary64_3898`
2×	`flip3-+_binary64_3832` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `sqr-pow_binary64_3801` `unpow-prod-down_binary64_3908` `associate-r/_binary64_3771` `-commutative_binary64_3760`
1×	`pow-prod-up_binary64_3899` `pow1/3_binary64_3911` `pow-sqr_binary64_3802` `pow-plus_binary64_3892` `pow2_binary64_3910`

Counts

4 → 85

Calls

4 calls:

10.0ms	(.f64 (pow.f64 (.f64 wj wj) 1/3) (.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj)))
8.0ms	(.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj))
5.0ms	(pow.f64 (*.f64 wj wj) 1/3)
1.0ms	(cbrt.f64 wj)

series322.0ms (7%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj))
93.0ms	(pow.f64 (*.f64 wj wj) 1/3)
81.0ms	(cbrt.f64 wj)
42.0ms	(.f64 (pow.f64 (.f64 wj wj) 1/3) (.f64 (+.f64 wj (.f64 x -2)) (cbrt.f64 wj)))

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4915	1068
1	4915	1068

prune86.0ms (1.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	96	11	107

Error

0.3b

Counts

107 → 11

Compiler

Compiled 1759 to 1001 computations (43.1% saved)

regimes229.0ms (5%)

Accuracy

Total 0.5b remaining (61.1%)

Threshold costs 0.5b (61.1%)

Compiler

Compiled 2571 to 1608 computations (37.5% saved)

bsearch3.0ms (0.1%)

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	444	63
1	444	63

end0.0ms (0%)

sample2.1s (46.6%)

Algorithm

1×

intervals

Results

828.0ms	3808×	body	8192	exit
239.0ms	6559×	body	128	valid
81.0ms	695×	body	512	valid
51.0ms	721×	body	256	valid
4.0ms	25×	body	1024	valid
4.0ms	87×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 920 to 574 computations (37.6% saved)

Details

analyze297.0ms (6.5%)

sample52.0ms (1.1%)

simplify227.0ms (4.9%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite53.0ms (1.1%)

series121.0ms (2.6%)

simplify76.0ms (1.7%)

prune107.0ms (2.3%)

localize6.0ms (0.1%)

rewrite12.0ms (0.3%)

series58.0ms (1.3%)

simplify58.0ms (1.3%)

prune42.0ms (0.9%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series367.0ms (8%)

simplify64.0ms (1.4%)

prune85.0ms (1.9%)

localize12.0ms (0.3%)

rewrite31.0ms (0.7%)

series322.0ms (7%)

simplify92.0ms (2%)

prune86.0ms (1.9%)

regimes229.0ms (5%)

bsearch3.0ms (0.1%)

simplify16.0ms (0.3%)

end0.0ms (0%)

sample2.1s (46.6%)

Profiling