Details

analyze80.0ms (4.7%)

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)

sample15.0ms (0.9%)

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)

simplify162.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (0.1%)

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))

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2436`
12×	`times-frac_binary64_2442`
11×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468`
5×	`distribute-lft-out_binary64_2389`
4×	`add-log-exp_binary64_2472` `associate-/r*_binary64_2382` `add-cbrt-cube_binary64_2469`
3×	`associate-/l*_binary64_2383` `add-exp-log_binary64_2471`
2×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `associate-/r/_binary64_2384` `pow1_binary64_2494`
1×	`cbrt-undiv_binary64_2467` `div-inv_binary64_2433` `div-exp_binary64_2484` `sum-log_binary64_2524` `clear-num_binary64_2435` `+-commutative_binary64_2368` `frac-2neg_binary64_2447`

Counts

2 → 45

Calls

2 calls:

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

series129.0ms (7.5%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify64.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5165	899

prune33.0ms (1.9%)

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 739 to 157 computations (78.8% saved)

localize8.0ms (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)))))

rewrite45.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_2436`
36×	`exp-prod_binary64_2485` `times-frac_binary64_2442`
30×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468`
19×	`log-pow_binary64_2522`
11×	`distribute-lft-out_binary64_2389`
7×	`add-log-exp_binary64_2472`
6×	`associate-/r/_binary64_2384` `add-cbrt-cube_binary64_2469`
5×	`add-exp-log_binary64_2471` `pow1_binary64_2494`
4×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `associate-/r*_binary64_2382`
3×	`div-inv_binary64_2433` `associate-/l*_binary64_2383` `log-prod_binary64_2519`
1×	`cbrt-undiv_binary64_2467` `div-exp_binary64_2484` `sum-log_binary64_2524` `clear-num_binary64_2435` `rem-exp-log_binary64_2473` `+-commutative_binary64_2368` `frac-2neg_binary64_2447` `rem-log-exp_binary64_2474`

Counts

4 → 101

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
9.0ms	(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))

series414.0ms (24.1%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
124.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
90.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
32.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify92.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4933	1915
1	4933	1915

prune80.0ms (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)

regimes48.0ms (2.8%)

Compiler: Compiled 208 to 182 computations (12.5% 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%)

sample518.0ms (30.2%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
15.0ms	594×	body	128	overflowed

Compiler

Compiled 61 to 53 computations (13.1% saved)

Details

analyze80.0ms (4.7%)

sample15.0ms (0.9%)

simplify162.0ms (9.5%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.9%)

series129.0ms (7.5%)

simplify64.0ms (3.7%)

prune33.0ms (1.9%)

localize8.0ms (0.5%)

rewrite45.0ms (2.6%)

series414.0ms (24.1%)

simplify92.0ms (5.4%)

prune80.0ms (4.7%)

regimes48.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample518.0ms (30.2%)

Profiling