Details

analyze73.0ms (4.3%)

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)

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	24×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify165.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2487`
12×	`times-frac_binary64_2493`
11×	`add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
5×	`distribute-lft-out_binary64_2438`
4×	`associate-/r*_binary64_2431` `add-cbrt-cube_binary64_2523` `add-log-exp_binary64_2526`
3×	`add-exp-log_binary64_2525` `associate-/l*_binary64_2432`
2×	`associate-/r/_binary64_2433` `flip-+_binary64_2461` `flip3-+_binary64_2490` `pow1_binary64_2548`
1×	`frac-2neg_binary64_2498` `clear-num_binary64_2486` `div-inv_binary64_2484` `+-commutative_binary64_2417` `sum-log_binary64_2578` `div-exp_binary64_2538` `cbrt-undiv_binary64_2521`

Counts

2 → 45

Calls

2 calls:

11.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series126.0ms (7.5%)

Counts

2 → 6

Calls

2 calls:

91.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify61.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5503	899

prune40.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

Compiler

Compiled 812 to 216 computations (73.4% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.1b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite40.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_2487`
36×	`times-frac_binary64_2493` `exp-prod_binary64_2539`
30×	`add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
19×	`log-pow_binary64_2576`
11×	`distribute-lft-out_binary64_2438`
7×	`add-log-exp_binary64_2526`
6×	`associate-/r/_binary64_2433` `add-cbrt-cube_binary64_2523`
5×	`add-exp-log_binary64_2525` `pow1_binary64_2548`
4×	`associate-/r*_binary64_2431` `flip-+_binary64_2461` `flip3-+_binary64_2490`
3×	`associate-/l*_binary64_2432` `div-inv_binary64_2484` `log-prod_binary64_2573`
1×	`rem-exp-log_binary64_2527` `frac-2neg_binary64_2498` `rem-log-exp_binary64_2528` `clear-num_binary64_2486` `+-commutative_binary64_2417` `sum-log_binary64_2578` `div-exp_binary64_2538` `cbrt-undiv_binary64_2521`

Counts

4 → 101

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series424.0ms (25.2%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
125.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
89.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
32.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify77.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5673	1915

prune79.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

Compiler

Compiled 1911 to 376 computations (80.3% saved)

regimes38.0ms (2.3%)

Compiler: Compiled 118 to 102 computations (13.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample501.0ms (29.8%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	128	valid
15.0ms	594×	body	128	overflowed

Compiler

Compiled 43 to 37 computations (14% saved)

Details

analyze73.0ms (4.3%)

sample20.0ms (1.2%)

simplify165.0ms (9.8%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite20.0ms (1.2%)

series126.0ms (7.5%)

simplify61.0ms (3.6%)

prune40.0ms (2.4%)

localize9.0ms (0.5%)

rewrite40.0ms (2.4%)

series424.0ms (25.2%)

simplify77.0ms (4.6%)

prune79.0ms (4.7%)

regimes38.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample501.0ms (29.8%)

Profiling