Details

analyze191.0ms (6.1%)

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)

sample26.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	21×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune4.0ms (0.1%)

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)

localize16.0ms (0.5%)

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)))

rewrite53.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

21×	`*-un-lft-identity_binary64_2806`
12×	`times-frac_binary64_2812`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
5×	`distribute-lft-out_binary64_2757`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
3×	`add-exp-log_binary64_2844` `associate-/l*_binary64_2751`
2×	`pow1_binary64_2867` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `sum-log_binary64_2897` `+-commutative_binary64_2736`

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))

Compiler

Compiled 750 to 153 computations (79.6% saved)

series245.0ms (7.9%)

Error

Counts

2 → 21

Calls

2 calls:

180.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 897 to 596 computations (33.6% saved)

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5281	1227

prune67.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Error

Counts

67 → 2

Compiler

Compiled 1003 to 294 computations (70.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite157.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`*-un-lft-identity_binary64_2806`
15×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
12×	`times-frac_binary64_2812`
9×	`add-exp-log_binary64_2844`
8×	`add-log-exp_binary64_2845`
7×	`distribute-lft-out_binary64_2757`
6×	`pow1_binary64_2867` `add-cbrt-cube_binary64_2842`
4×	`unpow-prod-down_binary64_2885` `associate-/r*_binary64_2750`
3×	`pow-unpow_binary64_2883` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l*_binary64_2751`
2×	`div-exp_binary64_2857` `associate-/r/_binary64_2752` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `inv-pow_binary64_2891` `pow-flip_binary64_2880` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 80

Calls

4 calls:

6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
6.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
4.0ms	(+.f64 1 (exp.f64 b))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 2287 to 1536 computations (32.8% saved)

series129.0ms (4.1%)

Error

Counts

4 → 22

Calls

4 calls:

33.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
27.0ms	(pow.f64 (+.f64 1 (exp.f64 b)) 2)
21.0ms	(+.f64 1 (exp.f64 b))
17.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 1227 to 917 computations (25.3% saved)

simplify87.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5190	1076

prune178.0ms (5.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Error

Counts

104 → 2

Compiler

Compiled 2631 to 1754 computations (33.3% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite168.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_2806`
24×	`times-frac_binary64_2812`
22×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
10×	`distribute-lft-out_binary64_2757`
8×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
7×	`add-exp-log_binary64_2844`
6×	`associate-/l*_binary64_2751`
4×	`pow1_binary64_2867` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/r/_binary64_2752`
2×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 90

Calls

4 calls:

7.0ms	(+.f64 1 (exp.f64 a))
7.0ms	(+.f64 1 (exp.f64 a))
7.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
6.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))

Compiler

Compiled 2222 to 1331 computations (40.1% saved)

series177.0ms (5.7%)

Error

Counts

4 → 18

Calls

4 calls:

82.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
38.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
23.0ms	(+.f64 1 (exp.f64 a))
12.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 858 to 633 computations (26.2% saved)

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5013	1447

prune129.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 2374 to 1430 computations (39.8% saved)

regimes125.0ms (4%)

Accuracy

Total 0.5b remaining (71.7%)

Threshold costs 0.5b (71.7%)

Compiler

Compiled 788 to 582 computations (26.1% 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%)

sample1.1s (36.9%)

Algorithm

1×

intervals

Results

538.0ms	8000×	body	128	valid
24.0ms	658×	body	128	overflowed

Compiler

Compiled 177 to 133 computations (24.9% saved)

Details

analyze191.0ms (6.1%)

sample26.0ms (0.8%)

simplify14.0ms (0.5%)

prune4.0ms (0.1%)

localize16.0ms (0.5%)

rewrite53.0ms (1.7%)

series245.0ms (7.9%)

simplify82.0ms (2.6%)

prune67.0ms (2.1%)

localize11.0ms (0.3%)

rewrite157.0ms (5.1%)

series129.0ms (4.1%)

simplify87.0ms (2.8%)

prune178.0ms (5.7%)

localize18.0ms (0.6%)

rewrite168.0ms (5.4%)

series177.0ms (5.7%)

simplify85.0ms (2.7%)

prune129.0ms (4.1%)

regimes125.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.9%)

Profiling