Details

analyze75.0ms (5.8%)

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
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)

sample14.0ms (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)

simplify97.0ms (7.6%)

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

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)))

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
11×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`distribute-lft-out_binary64_3098`
4×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091` `add-log-exp_binary64_3186`
3×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

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))

series71.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify64.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5701	899

prune36.0ms (2.8%)

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)

localize7.0ms (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)))

rewrite27.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
13×	`add-sqr-sqrt_binary64_3169`
9×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182`
8×	`cancel-sign-sub-inv_binary64_3113` `log-prod_binary64_3233`
7×	`exp-sum_binary64_3193`
6×	`exp-prod_binary64_3199` `log-div_binary64_3234`
5×	`add-exp-log_binary64_3185` `log-pow_binary64_3236`
4×	`flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `distribute-lft-out--_binary64_3099` `associate--r+_binary64_3083` `associate--r-_binary64_3086`
3×	`distribute-lft-out_binary64_3098`
2×	`sub-neg_binary64_3140` `difference-of-squares_binary64_3116` `rem-exp-log_binary64_3187` `diff-log_binary64_3239`
1×	`flip--_binary64_3122` `rem-log-exp_binary64_3188` `flip3--_binary64_3151` `+-commutative_binary64_3077` `exp-diff_binary64_3195` `sum-log_binary64_3238`

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))

series157.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
42.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
42.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify64.0ms (5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5980	1300

prune55.0ms (4.3%)

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)

regimes68.0ms (5.3%)

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%)

sample517.0ms (40.2%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
18.0ms	678×	body	128	overflowed

Compiler

Compiled 87 to 64 computations (26.4% saved)

Details

analyze75.0ms (5.8%)

sample14.0ms (1.1%)

simplify97.0ms (7.6%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite14.0ms (1.1%)

series71.0ms (5.5%)

simplify64.0ms (4.9%)

prune36.0ms (2.8%)

localize7.0ms (0.6%)

rewrite27.0ms (2.1%)

series157.0ms (12.2%)

simplify64.0ms (5%)

prune55.0ms (4.3%)

localize5.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.5%)

prune0.0ms (0%)

regimes68.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample517.0ms (40.2%)

Profiling