Details

analyze98.0ms (2.7%)

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
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample41.0ms (1.1%)

Algorithm

1×

intervals

Results

20.0ms	238×	body	128	valid
4.0ms	9×	body	512	valid
3.0ms	4×	body	1024	valid
1.0ms	5×	body	256	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify330.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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

0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_3829`
8×	`log-prod_binary64_3915`
6×	`add-log-exp_binary64_3868`
5×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
4×	`add-exp-log_binary64_3867` `pow1_binary64_3890` `log-div_binary64_3916` `associate--l+_binary64_3766`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-lft-out_binary64_3780`
2×	`associate--l-_binary64_3767`
1×	`cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `flip3--_binary64_3833` `+-commutative_binary64_3759` `log-pow_binary64_3918` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

3 → 45

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
7.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

series132.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
40.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
10.0ms	(+.f64 1 (exp.f64 x))

simplify155.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune57.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 822 to 469 computations (42.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_3829`
14×	`log-prod_binary64_3915`
8×	`add-log-exp_binary64_3868` `sqrt-prod_binary64_3845` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `add-sqr-sqrt_binary64_3851`
6×	`add-exp-log_binary64_3867` `log-pow_binary64_3918`
4×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `distribute-lft-out_binary64_3780` `sqrt-div_binary64_3846` `log-div_binary64_3916`
2×	`rem-log-exp_binary64_3870` `sum-log_binary64_3920` `pow1/2_binary64_3909` `+-commutative_binary64_3759` `sqrt-pow1_binary64_3847`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))

series144.0ms (4%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
59.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(+.f64 1 (exp.f64 x))

simplify123.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4978	988
1	4978	988

prune127.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1667 to 1069 computations (35.9% saved)

localize21.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
0.0b	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/8)))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_3868` `add-sqr-sqrt_binary64_3851`
6×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
5×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
3×	`log-prod_binary64_3915` `associate-r_binary64_3769` `associate-l_binary64_3770` `associate-+l+_binary64_3762`
2×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `flip-+_binary64_3803` `associate-+r+_binary64_3761` `distribute-rgt-in_binary64_3779` `associate-*r/_binary64_3771` `distribute-lft-in_binary64_3778` `diff-log_binary64_3921`
1×	`pow-prod-down_binary64_3900` `cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `flip3--_binary64_3833` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822` `associate--l+_binary64_3766`

Counts

3 → 52

Calls

3 calls:

12.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
12.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
8.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

series119.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
42.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
21.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5017	1072

prune98.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 1200 to 851 computations (29.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
1.2b	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3829`
10×	`log-prod_binary64_3915`
8×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
7×	`pow1_binary64_3890`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `log-div_binary64_3916`
4×	`exp-prod_binary64_3881` `add-cbrt-cube_binary64_3865`
3×	`exp-sum_binary64_3875` `log-pow_binary64_3918`
2×	`flip3-+_binary64_3832` `flip--_binary64_3804` `rem-log-exp_binary64_3870` `flip-+_binary64_3803` `flip3--_binary64_3833` `distribute-lft-out_binary64_3780` `exp-diff_binary64_3877`
1×	`rem-exp-log_binary64_3869` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

4 → 58

Calls

4 calls:

8.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
7.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))
6.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))

series509.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))
152.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
61.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

simplify111.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4939	1278
1	4939	1278

prune80.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 1228 to 738 computations (39.9% saved)

regimes86.0ms (2.4%)

Accuracy

Total 0.3b remaining (54.5%)

Threshold costs 0.3b (54.5%)

Compiler

Compiled 268 to 243 computations (9.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.1s (31.4%)

Algorithm

1×

intervals

Results

462.0ms	7407×	body	128	valid
101.0ms	195×	body	1024	valid
71.0ms	248×	body	512	valid
25.0ms	150×	body	256	valid
3.0ms	40×	body	128	invalid
1.0ms	11×	body	128	overflowed

Compiler

Compiled 127 to 112 computations (11.8% saved)

Details

analyze98.0ms (2.7%)

sample41.0ms (1.1%)

simplify330.0ms (9.2%)

prune4.0ms (0.1%)

localize14.0ms (0.4%)

rewrite29.0ms (0.8%)

series132.0ms (3.7%)

simplify155.0ms (4.3%)

prune57.0ms (1.6%)

localize12.0ms (0.3%)

rewrite29.0ms (0.8%)

series144.0ms (4%)

simplify123.0ms (3.4%)

prune127.0ms (3.5%)

localize21.0ms (0.6%)

rewrite39.0ms (1.1%)

series119.0ms (3.3%)

simplify48.0ms (1.3%)

prune98.0ms (2.7%)

localize10.0ms (0.3%)

rewrite35.0ms (1%)

series509.0ms (14.2%)

simplify111.0ms (3.1%)

prune80.0ms (2.2%)

regimes86.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (31.4%)

Profiling