Details

analyze319.0ms (6.6%)

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)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

21.0ms	88×	body	8192	exit
7.0ms	202×	body	128	valid
2.0ms	21×	body	512	valid
2.0ms	31×	body	256	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify217.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

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

Merged error: 13.7b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (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))
3.2b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite47.0ms (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:

19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
16.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series115.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
39.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
31.0ms	(/.f64 x (exp.f64 wj))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4946	2095
1	4946	2095

prune108.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Merged error: 0.3b

Counts

102 → 6

Compiler

Compiled 2129 to 875 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)))

rewrite11.0ms (0.2%)

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))))

series57.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
24.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4970	598
1	4970	598

prune42.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.3b

Counts

47 → 8

Compiler

Compiled 769 to 459 computations (40.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.3%)

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:

6.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series352.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
85.0ms	(cbrt.f64 wj)
84.0ms	(cbrt.f64 wj)
83.0ms	(cbrt.f64 wj)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune77.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	86	7	93

Merged error: 0.3b

Counts

93 → 7

Compiler

Compiled 1746 to 833 computations (52.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
17.7b	(log.f64 (exp.f64 (cbrt.f64 wj)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3860`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
7×	`log-pow_binary64_3918`
6×	`exp-prod_binary64_3881`
5×	`pow1_binary64_3890`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
3×	`log-prod_binary64_3915` `pow1/3_binary64_3911`
1×	`rem-log-exp_binary64_3870`

Counts

4 → 51

Calls

4 calls:

3.0ms	(log.f64 (exp.f64 (cbrt.f64 wj)))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series406.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(log.f64 (exp.f64 (cbrt.f64 wj)))
83.0ms	(cbrt.f64 wj)
80.0ms	(cbrt.f64 wj)
78.0ms	(cbrt.f64 wj)

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5099	393

prune56.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	62	8	70

Merged error: 0.3b

Counts

70 → 8

Compiler

Compiled 1312 to 538 computations (59% saved)

regimes289.0ms (6%)

Compiler: Compiled 2700 to 1653 computations (38.8% saved)

bsearch2.0ms (0%)

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	445	99
1	445	99

end0.0ms (0%)

sample2.3s (48%)

Algorithm

1×

intervals

Results

868.0ms	3851×	body	8192	exit
255.0ms	6528×	body	128	valid
85.0ms	730×	body	512	valid
59.0ms	714×	body	256	valid
5.0ms	28×	body	1024	valid
4.0ms	82×	body	128	invalid
0.0ms	13×	body	128	overflowed

Compiler

Compiled 986 to 594 computations (39.8% saved)

Details

analyze319.0ms (6.6%)

sample43.0ms (0.9%)

simplify217.0ms (4.5%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite47.0ms (1%)

series115.0ms (2.4%)

simplify76.0ms (1.6%)

prune108.0ms (2.3%)

localize6.0ms (0.1%)

rewrite11.0ms (0.2%)

series57.0ms (1.2%)

simplify54.0ms (1.1%)

prune42.0ms (0.9%)

localize10.0ms (0.2%)

rewrite15.0ms (0.3%)

series352.0ms (7.3%)

simplify61.0ms (1.3%)

prune77.0ms (1.6%)

localize13.0ms (0.3%)

rewrite10.0ms (0.2%)

series406.0ms (8.5%)

simplify77.0ms (1.6%)

prune56.0ms (1.2%)

regimes289.0ms (6%)

bsearch2.0ms (0%)

simplify16.0ms (0.3%)

end0.0ms (0%)

sample2.3s (48%)

Profiling