Details

analyze166.0ms (4.7%)

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	21×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.2%)

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

Error

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

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)))

rewrite52.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

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:

12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series230.0ms (6.5%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

167.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5229	1560

prune56.0ms (1.6%)

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

0.0b

Counts

70 → 3

Compiler

Compiled 1224 to 433 computations (64.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite192.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

72×	`*-un-lft-identity_binary64_3829`
57×	`add-sqr-sqrt_binary64_3851`
50×	`times-frac_binary64_3835`
44×	`add-cube-cbrt_binary64_3864` `cbrt-prod_binary64_3860`
36×	`associate-r_binary64_3769`
20×	`add-exp-log_binary64_3867`
16×	`pow1_binary64_3890`
14×	`distribute-lft-out_binary64_3780`
11×	`add-cbrt-cube_binary64_3865`
7×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `associate-l_binary64_3770`
6×	`add-log-exp_binary64_3868` `associate-/l*_binary64_3774` `pow1/3_binary64_3911` `swap-sqr_binary64_3796`
5×	`pow-prod-down_binary64_3900`
4×	`associate-/r/_binary64_3775` `associate-/r*_binary64_3773`
3×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `flip3-+_binary64_3832` `flip-+_binary64_3803`
2×	`div-inv_binary64_3826` `*-commutative_binary64_3760` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`associate-*r/_binary64_3771` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `sum-log_binary64_3920` `+-commutative_binary64_3759` `pow2_binary64_3910` `pow-plus_binary64_3892`

Counts

4 → 153

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
8.0ms	(/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
8.0ms	(*.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 4081 to 549 computations (86.5% saved)

series647.0ms (18.2%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

296.0ms	(/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
175.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
85.0ms	(*.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 a)))
41.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2780 to 1698 computations (38.9% saved)

simplify96.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4969	4330
1	4969	4330

prune162.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	195	3	198

Error

0.0b

Counts

198 → 3

Compiler

Compiled 4629 to 1161 computations (74.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-exp_binary64_3880` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
1×	`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` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 634 to 468 computations (26.2% saved)

series58.0ms (1.6%)

Error

Counts

2 → 12

Calls

2 calls:

35.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
13.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 212 to 207 computations (2.4% saved)

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5289	729

prune45.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Error

Counts

64 → 4

Compiler

Compiled 676 to 502 computations (25.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.3b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

rewrite152.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_3829`
21×	`times-frac_binary64_3835`
19×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
16×	`add-exp-log_binary64_3867`
13×	`associate-/r*_binary64_3773`
12×	`unpow-prod-down_binary64_3908`
11×	`add-cbrt-cube_binary64_3865`
8×	`distribute-lft-out_binary64_3780`
7×	`div-exp_binary64_3880`
6×	`add-log-exp_binary64_3868`
5×	`pow1_binary64_3890`
4×	`associate-/l*_binary64_3774`
3×	`cbrt-undiv_binary64_3863` `pow-to-exp_binary64_3898` `prod-exp_binary64_3878` `pow-exp_binary64_3897` `unpow2_binary64_3894` `sqr-pow_binary64_3801` `pow-unpow_binary64_3906`
2×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803`
1×	`cbrt-unprod_binary64_3862` `pow-pow_binary64_3901` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

4 → 101

Calls

4 calls:

11.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
7.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
5.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
4.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 2682 to 1439 computations (46.3% saved)

series278.0ms (7.8%)

Error

Counts

4 → 18

Calls

4 calls:

183.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
45.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
23.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
12.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 958 to 620 computations (35.3% saved)

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4992	1766
1	4992	1766

prune121.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	4	123

Error

Counts

123 → 4

Compiler

Compiled 2749 to 1448 computations (47.3% saved)

regimes162.0ms (4.6%)

Accuracy

Total 0.8b remaining (80.7%)

Threshold costs 0.8b (80.7%)

Compiler

Compiled 1680 to 1127 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	19
1	11	19

end0.0ms (0%)

sample844.0ms (23.7%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
16.0ms	714×	body	128	overflowed

Compiler

Compiled 348 to 239 computations (31.3% saved)

Details

analyze166.0ms (4.7%)

sample18.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite52.0ms (1.5%)

series230.0ms (6.5%)

simplify38.0ms (1.1%)

prune56.0ms (1.6%)

localize9.0ms (0.3%)

rewrite192.0ms (5.4%)

series647.0ms (18.2%)

simplify96.0ms (2.7%)

prune162.0ms (4.6%)

localize4.0ms (0.1%)

rewrite50.0ms (1.4%)

series58.0ms (1.6%)

simplify64.0ms (1.8%)

prune45.0ms (1.3%)

localize10.0ms (0.3%)

rewrite152.0ms (4.3%)

series278.0ms (7.8%)

simplify83.0ms (2.3%)

prune121.0ms (3.4%)

regimes162.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample844.0ms (23.7%)

Profiling