Details

analyze265.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
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
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)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	240×	body	128	valid
2.0ms	5×	body	1024	valid
2.0ms	9×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify136.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune2.0ms (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

1.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

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))
1.0b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_3488`
8×	`log-prod_binary64_3574`
6×	`add-log-exp_binary64_3527`
5×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
4×	`add-exp-log_binary64_3526` `log-div_binary64_3575` `associate--l+_binary64_3425` `pow1_binary64_3549`
3×	`distribute-lft-out_binary64_3439` `add-cbrt-cube_binary64_3524` `flip-+_binary64_3462` `flip3-+_binary64_3491`
2×	`associate--l-_binary64_3426`
1×	`rem-log-exp_binary64_3529` `log-pow_binary64_3577` `flip3--_binary64_3492` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `+-commutative_binary64_3418` `flip--_binary64_3463` `sum-log_binary64_3579` `sub-neg_binary64_3481`

Counts

3 → 45

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))

series95.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
43.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
7.0ms	(+.f64 1 (exp.f64 x))

simplify104.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune53.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	4	55

Error

0.4b

Counts

55 → 4

Compiler

Compiled 856 to 493 computations (42.4% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.7b	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
4.5b	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
4.6b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3488`
17×	`add-sqr-sqrt_binary64_3510`
11×	`add-cube-cbrt_binary64_3523`
9×	`log-prod_binary64_3574`
7×	`pow1_binary64_3549`
6×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
5×	`add-cbrt-cube_binary64_3524`
4×	`difference-of-squares_binary64_3457` `unpow-prod-down_binary64_3567` `log-div_binary64_3575` `pow-pow_binary64_3560`
3×	`distribute-lft-out_binary64_3439` `exp-prod_binary64_3540` `cancel-sign-sub-inv_binary64_3454` `cube-prod_binary64_3516` `pow-unpow_binary64_3565`
2×	`rem-log-exp_binary64_3529` `log-pow_binary64_3577` `distribute-lft-out--_binary64_3440` `flip-+_binary64_3462` `unpow2_binary64_3553` `flip3-+_binary64_3491` `sqr-pow_binary64_3460`
1×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `flip3--_binary64_3492` `diff-log_binary64_3580` `rem-cube-cbrt_binary64_3511` `pow-to-exp_binary64_3557` `flip--_binary64_3463` `distribute-rgt-out--_binary64_3442` `cube-mult_binary64_3518` `sub-neg_binary64_3481`

Counts

4 → 77

Calls

4 calls:

8.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
6.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
4.0ms	(pow.f64 (exp.f64 x) 3)

series254.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
88.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
22.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
22.0ms	(pow.f64 (exp.f64 x) 3)

simplify82.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4935	1260
1	4935	1260

prune116.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	89	4	93

Error

0.4b

Counts

93 → 4

Compiler

Compiled 2421 to 1485 computations (38.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
1.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_3574`
25×	`*-un-lft-identity_binary64_3488`
16×	`sqrt-prod_binary64_3504`
12×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
9×	`associate-+r+_binary64_3420` `pow1_binary64_3549`
8×	`add-log-exp_binary64_3527`
7×	`distribute-lft-out_binary64_3439` `log-pow_binary64_3577` `associate--l+_binary64_3425` `associate-+l+_binary64_3421`
6×	`sqrt-div_binary64_3505` `add-exp-log_binary64_3526` `log-div_binary64_3575`
5×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
4×	`add-cbrt-cube_binary64_3524`
3×	`sum-log_binary64_3579`
2×	`associate-+l-_binary64_3423` `rem-log-exp_binary64_3529` `+-commutative_binary64_3418` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506`
1×	`diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `associate-+r-_binary64_3422` `sub-neg_binary64_3481`

Counts

4 → 85

Calls

4 calls:

16.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
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))

series197.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
58.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
57.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	(+.f64 1 (exp.f64 x))

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5574	1563

prune109.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

0.4b

Counts

101 → 4

Compiler

Compiled 2052 to 1288 computations (37.2% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (+.f64 1 (exp.f64 x)))
1.0b	(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
1.7b	(log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_3520`
14×	`*-un-lft-identity_binary64_3488`
13×	`pow1_binary64_3549`
12×	`cbrt-prod_binary64_3519`
11×	`log-pow_binary64_3577`
10×	`log-div_binary64_3575`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
8×	`add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526` `log-prod_binary64_3574` `add-cube-cbrt_binary64_3523`
4×	`add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `add-log-exp_binary64_3527`
3×	`rem-log-exp_binary64_3529` `distribute-lft-out_binary64_3439`
2×	`associate-l/_binary64_3431` `pow-prod-up_binary64_3558` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537`

Counts

4 → 74

Calls

4 calls:

11.0ms	(log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))))
5.0ms	(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))

series429.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))))
122.0ms	(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
75.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))
72.0ms	(cbrt.f64 (+.f64 1 (exp.f64 x)))

simplify130.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4889	1314
1	4889	1314

prune120.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Error

0.4b

Counts

90 → 4

Compiler

Compiled 2329 to 1513 computations (35% saved)

regimes69.0ms (2%)

Accuracy

Total 0.3b remaining (51.3%)

Threshold costs 0.3b (51.3%)

Compiler

Compiled 517 to 432 computations (16.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	35
1	62	35

end0.0ms (0%)

sample1.0s (29.3%)

Algorithm

1×

intervals

Results

365.0ms	7366×	body	128	valid
85.0ms	204×	body	1024	valid
63.0ms	281×	body	512	valid
19.0ms	146×	body	256	valid
3.0ms	3×	body	2048	valid
2.0ms	32×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 223 to 184 computations (17.5% saved)

Details

analyze265.0ms (7.7%)

sample24.0ms (0.7%)

simplify136.0ms (4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series95.0ms (2.8%)

simplify104.0ms (3.1%)

prune53.0ms (1.6%)

localize17.0ms (0.5%)

rewrite32.0ms (0.9%)

series254.0ms (7.4%)

simplify82.0ms (2.4%)

prune116.0ms (3.4%)

localize9.0ms (0.3%)

rewrite36.0ms (1.1%)

series197.0ms (5.8%)

simplify68.0ms (2%)

prune109.0ms (3.2%)

localize13.0ms (0.4%)

rewrite30.0ms (0.9%)

series429.0ms (12.5%)

simplify130.0ms (3.8%)

prune120.0ms (3.5%)

regimes69.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (29.3%)

Profiling