Details

analyze172.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	22×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune6.0ms (0.5%)

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

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite15.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
5×	`distribute-lft-out_binary64_3439`
4×	`associate-/r*_binary64_3432` `add-cbrt-cube_binary64_3524` `add-log-exp_binary64_3527`
3×	`add-exp-log_binary64_3526` `associate-/l*_binary64_3433`
2×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `pow1_binary64_3549`
1×	`clear-num_binary64_3487` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series72.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify63.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5701	899

prune36.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

0.7b

Counts

52 → 3

Compiler

Compiled 745 to 164 computations (78% saved)

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.7b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite28.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3488`
13×	`add-sqr-sqrt_binary64_3510`
9×	`add-cube-cbrt_binary64_3523` `add-log-exp_binary64_3527` `pow1_binary64_3549`
8×	`log-prod_binary64_3574` `cancel-sign-sub-inv_binary64_3454`
7×	`exp-sum_binary64_3534`
6×	`exp-prod_binary64_3540` `log-div_binary64_3575`
5×	`log-pow_binary64_3577` `add-exp-log_binary64_3526`
4×	`distribute-lft-out--_binary64_3440` `add-cbrt-cube_binary64_3524` `flip-+_binary64_3462` `associate--r+_binary64_3424` `flip3-+_binary64_3491` `associate--r-_binary64_3427`
3×	`distribute-lft-out_binary64_3439`
2×	`difference-of-squares_binary64_3457` `diff-log_binary64_3580` `rem-exp-log_binary64_3528` `sub-neg_binary64_3481`
1×	`rem-log-exp_binary64_3529` `flip3--_binary64_3492` `+-commutative_binary64_3418` `flip--_binary64_3463` `exp-diff_binary64_3536` `sum-log_binary64_3579`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series152.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
41.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
40.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify66.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5980	1300

prune56.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Error

0.7b

Counts

89 → 3

Compiler

Compiled 1215 to 331 computations (72.8% saved)

localize5.0ms (0.4%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

0.7b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes70.0ms (5.2%)

Accuracy

Total 0.1b remaining (8.5%)

Threshold costs 0.1b (8.5%)

Compiler

Compiled 425 to 283 computations (33.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample567.0ms (41.9%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
20.0ms	678×	body	128	overflowed

Compiler

Compiled 87 to 64 computations (26.4% saved)

Details

analyze172.0ms (12.7%)

sample15.0ms (1.1%)

simplify7.0ms (0.5%)

prune6.0ms (0.5%)

localize5.0ms (0.4%)

rewrite15.0ms (1.1%)

series72.0ms (5.3%)

simplify63.0ms (4.7%)

prune36.0ms (2.7%)

localize8.0ms (0.6%)

rewrite28.0ms (2.1%)

series152.0ms (11.2%)

simplify66.0ms (4.9%)

prune56.0ms (4.1%)

localize5.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.5%)

prune0.0ms (0%)

regimes70.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample567.0ms (41.9%)

Profiling