Details

analyze151.0ms (3.6%)

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)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	21×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify282.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune4.0ms (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)

localize11.0ms (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))

rewrite30.0ms (0.7%)

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:

15.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series239.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

173.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
66.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify113.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5165	899

prune64.0ms (1.5%)

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

Merged error: 0b

Counts

52 → 3

Compiler

Compiled 762 to 166 computations (78.2% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (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))

rewrite57.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

18.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
15.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series545.0ms (13%)

Counts

3 → 9

Calls

3 calls:

317.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
159.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
69.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5265	1433

prune105.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

Compiler

Compiled 1401 to 299 computations (78.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.3b	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite73.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_2464`
35×	`*-un-lft-identity_binary64_2436`
23×	`add-sqr-sqrt_binary64_2457`
18×	`cbrt-div_binary64_2465`
15×	`add-cube-cbrt_binary64_2468`
11×	`pow1_binary64_2494`
9×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `distribute-lft-out_binary64_2389` `flip-+_binary64_2410` `swap-sqr_binary64_2403`
7×	`associate-r_binary64_2378` `associate-l_binary64_2379`
6×	`add-exp-log_binary64_2471`
4×	`add-log-exp_binary64_2472` `unswap-sqr_binary64_2404` `add-cbrt-cube_binary64_2469` `frac-times_binary64_2446`
2×	`pow-prod-down_binary64_2504` `associate-r/_binary64_2380` `pow-prod-up_binary64_2503` `associate-l/_binary64_2381` `pow-sqr_binary64_2409`
1×	`prod-exp_binary64_2482` `*-commutative_binary64_2369` `pow2_binary64_2514` `cbrt-unprod_binary64_2466` `pow-plus_binary64_2496`

Counts

4 → 95

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series977.0ms (23.3%)

Counts

4 → 12

Calls

4 calls:

309.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
229.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
224.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
215.0ms	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify111.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4921	2006
1	4921	2006

prune188.0ms (4.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

Compiler

Compiled 3017 to 666 computations (77.9% saved)

regimes88.0ms (2.1%)

Compiler: Compiled 233 to 147 computations (36.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample962.0ms (23%)

Algorithm

1×

intervals

Results

464.0ms	8000×	body	128	valid
38.0ms	715×	body	128	overflowed

Compiler

Compiled 66 to 46 computations (30.3% saved)

Details

analyze151.0ms (3.6%)

sample27.0ms (0.6%)

simplify282.0ms (6.7%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite30.0ms (0.7%)

series239.0ms (5.7%)

simplify113.0ms (2.7%)

prune64.0ms (1.5%)

localize16.0ms (0.4%)

rewrite57.0ms (1.4%)

series545.0ms (13%)

simplify119.0ms (2.8%)

prune105.0ms (2.5%)

localize18.0ms (0.4%)

rewrite73.0ms (1.7%)

series977.0ms (23.3%)

simplify111.0ms (2.7%)

prune188.0ms (4.5%)

regimes88.0ms (2.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample962.0ms (23%)

Profiling