Details

analyze166.0ms (10.9%)

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%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	24×	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

prune2.0ms (0.2%)

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 16 to 12 computations (25% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3829`
12×	`times-frac_binary64_3835`
11×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
5×	`distribute-lft-out_binary64_3780`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
3×	`add-exp-log_binary64_3867` `associate-/l*_binary64_3774`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/r/_binary64_3775` `pow1_binary64_3890`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `sum-log_binary64_3920` `clear-num_binary64_3828` `cbrt-undiv_binary64_3863` `+-commutative_binary64_3759` `frac-2neg_binary64_3840`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series77.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify69.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5701	899

prune38.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.5b

Counts

52 → 3

Compiler

Compiled 753 to 171 computations (77.3% saved)

localize8.0ms (0.5%)

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))
0.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite27.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3829`
13×	`add-sqr-sqrt_binary64_3851`
9×	`add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890`
8×	`cancel-sign-sub-inv_binary64_3795` `log-prod_binary64_3915`
7×	`exp-sum_binary64_3875`
6×	`exp-prod_binary64_3881` `log-div_binary64_3916`
5×	`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_3781` `associate--r+_binary64_3765` `associate--r-_binary64_3768`
3×	`distribute-lft-out_binary64_3780`
2×	`rem-exp-log_binary64_3869` `difference-of-squares_binary64_3798` `sub-neg_binary64_3822` `diff-log_binary64_3921`
1×	`flip--_binary64_3804` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `flip3--_binary64_3833` `+-commutative_binary64_3759` `exp-diff_binary64_3877`

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))

series154.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
41.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
36.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify64.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5980	1300

prune58.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Error

0.5b

Counts

89 → 3

Compiler

Compiled 1223 to 338 computations (72.4% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3829`
15×	`times-frac_binary64_3835`
12×	`distribute-lft-out_binary64_3780`
11×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
5×	`associate-/r*_binary64_3773`
3×	`add-cbrt-cube_binary64_3865` `associate-/l*_binary64_3774`
2×	`add-exp-log_binary64_3867` `associate-/r/_binary64_3775`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `div-inv_binary64_3826` `div-exp_binary64_3880` `flip-+_binary64_3803` `clear-num_binary64_3828` `pow1_binary64_3890` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840`

Counts

1 → 37

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series62.0ms (4.1%)

Counts

1 → 3

Calls

1 calls:

62.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify66.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5423	714

prune31.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Error

0.5b

Counts

43 → 3

Compiler

Compiled 585 to 324 computations (44.6% saved)

localize5.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.4%)

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

0.5b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes70.0ms (4.6%)

Accuracy

Total 0.1b remaining (29.5%)

Threshold costs 0.1b (29.5%)

Compiler

Compiled 308 to 286 computations (7.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample545.0ms (36%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	128	valid
17.0ms	707×	body	128	overflowed

Compiler

Compiled 70 to 65 computations (7.1% saved)

Details

analyze166.0ms (10.9%)

sample15.0ms (1%)

simplify7.0ms (0.5%)

prune2.0ms (0.2%)

localize6.0ms (0.4%)

rewrite19.0ms (1.3%)

series77.0ms (5.1%)

simplify69.0ms (4.5%)

prune38.0ms (2.5%)

localize8.0ms (0.5%)

rewrite27.0ms (1.8%)

series154.0ms (10.2%)

simplify64.0ms (4.2%)

prune58.0ms (3.8%)

localize6.0ms (0.4%)

rewrite11.0ms (0.7%)

series62.0ms (4.1%)

simplify66.0ms (4.4%)

prune31.0ms (2%)

localize5.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.4%)

prune0.0ms (0%)

regimes70.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample545.0ms (36%)

Profiling