Details

analyze305.0ms (3.5%)

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)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	20×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune4.0ms (0%)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite104.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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×	`pow1_binary64_3890` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

2 → 45

Calls

2 calls:

13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series418.0ms (4.8%)

Error

0.4b

Counts

2 → 24

Calls

2 calls:

304.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
63.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5229	1560

prune117.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.4b

Counts

70 → 3

Compiler

Compiled 1220 to 432 computations (64.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 a))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.7b	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
0.8b	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite293.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

68×	`*-un-lft-identity_binary64_3829`
57×	`add-sqr-sqrt_binary64_3851`
52×	`times-frac_binary64_3835`
40×	`add-cube-cbrt_binary64_3864`
38×	`sqrt-prod_binary64_3845`
30×	`associate-r_binary64_3769`
14×	`distribute-lft-out_binary64_3780`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
7×	`pow1_binary64_3890`
6×	`add-log-exp_binary64_3868` `associate-/l_binary64_3774` `unswap-sqr_binary64_3797` `associate-l*_binary64_3770`
4×	`associate-/r/_binary64_3775` `associate-/r*_binary64_3773` `sqrt-pow1_binary64_3847`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `exp-prod_binary64_3881`
2×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `div-inv_binary64_3826` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
1×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `pow-prod-down_binary64_3900` `associate-r/_binary64_3771` `-commutative_binary64_3760` `sum-log_binary64_3920` `+-commutative_binary64_3759` `pow1/2_binary64_3909` `rem-sqrt-square_binary64_3842`

Counts

4 → 132

Calls

4 calls:

36.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
15.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
13.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
4.0ms	(sqrt.f64 (exp.f64 a))

Compiler

Compiled 3072 to 474 computations (84.6% saved)

series855.0ms (9.9%)

Error

0.4b

Counts

4 → 42

Calls

4 calls:

376.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
265.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
77.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
37.0ms	(sqrt.f64 (exp.f64 a))

Compiler

Compiled 2490 to 1555 computations (37.6% saved)

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5042	3955

prune270.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	174	3	177

Error

0.4b

Counts

177 → 3

Compiler

Compiled 3735 to 931 computations (75.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0b	(+.f64 1 (exp.f64 b))

rewrite95.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

21×	`*-un-lft-identity_binary64_3829`
12×	`times-frac_binary64_3835`
11×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
6×	`add-exp-log_binary64_3867`
5×	`distribute-lft-out_binary64_3780`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
3×	`pow1_binary64_3890` `associate-/l*_binary64_3774`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `div-exp_binary64_3880` `associate-/r/_binary64_3775`
1×	`sum-log_binary64_3920` `+-commutative_binary64_3759` `inv-pow_binary64_3914` `pow-flip_binary64_3903` `1-exp_binary64_3873` `rec-exp_binary64_3879` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826`

Counts

2 → 49

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
7.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 634 to 468 computations (26.2% saved)

series99.0ms (1.1%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

57.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
23.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 212 to 207 computations (2.4% saved)

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5289	729

prune90.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	61	3	64

Error

0.4b

Counts

64 → 3

Compiler

Compiled 682 to 506 computations (25.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (exp.f64 b) 1))
0.0b	(/.f64 1 (+.f64 (exp.f64 b) 1))
0.0b	(/.f64 1 (+.f64 (exp.f64 b) 1))
0.5b	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))

rewrite970.0ms (11.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

147×	`*-un-lft-identity_binary64_3829`
112×	`cbrt-prod_binary64_3860` `times-frac_binary64_3835`
111×	`add-sqr-sqrt_binary64_3851`
71×	`add-cube-cbrt_binary64_3864`
30×	`distribute-lft-out_binary64_3780`
29×	`swap-sqr_binary64_3796`
21×	`associate-l_binary64_3770` `associate-r_binary64_3769`
18×	`add-exp-log_binary64_3867`
16×	`unswap-sqr_binary64_3797`
14×	`pow1_binary64_3890` `associate-/r/_binary64_3775`
12×	`associate-/r*_binary64_3773`
10×	`add-cbrt-cube_binary64_3865`
9×	`div-inv_binary64_3826` `associate-/l*_binary64_3774`
7×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
6×	`pow1/3_binary64_3911` `div-exp_binary64_3880`
4×	`add-log-exp_binary64_3868` `cbrt-div_binary64_3861`
3×	`inv-pow_binary64_3914` `pow-flip_binary64_3903` `1-exp_binary64_3873` `rec-exp_binary64_3879` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `frac-times_binary64_3839` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `*-commutative_binary64_3760`

Counts

4 → 219

Calls

4 calls:

50.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
13.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
12.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
12.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 7276 to 5576 computations (23.4% saved)

series502.0ms (5.8%)

Error

0.4b

Counts

4 → 21

Calls

4 calls:

267.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
64.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
64.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
62.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))

Compiler

Compiled 1228 to 1056 computations (14% saved)

simplify216.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4926	4831
1	4926	4831

prune781.0ms (9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	240	3	243

Error

0.4b

Counts

243 → 3

Compiler

Compiled 6961 to 5329 computations (23.4% saved)

regimes688.0ms (8%)

Accuracy

Total 0.5b remaining (68.3%)

Threshold costs 0.5b (68.3%)

Compiler

Compiled 4683 to 3452 computations (26.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample2.4s (27.8%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
29.0ms	697×	body	128	overflowed

Compiler

Compiled 809 to 602 computations (25.6% saved)

Details

analyze305.0ms (3.5%)

sample37.0ms (0.4%)

simplify14.0ms (0.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite104.0ms (1.2%)

series418.0ms (4.8%)

simplify74.0ms (0.9%)

prune117.0ms (1.4%)

localize15.0ms (0.2%)

rewrite293.0ms (3.4%)

series855.0ms (9.9%)

simplify131.0ms (1.5%)

prune270.0ms (3.1%)

localize8.0ms (0.1%)

rewrite95.0ms (1.1%)

series99.0ms (1.1%)

simplify117.0ms (1.4%)

prune90.0ms (1%)

localize15.0ms (0.2%)

rewrite970.0ms (11.2%)

series502.0ms (5.8%)

simplify216.0ms (2.5%)

prune781.0ms (9%)

regimes688.0ms (8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.4s (27.8%)

Profiling