Details

analyze236.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify121.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite114.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`*-un-lft-identity_binary64_2806`
15×	`times-frac_binary64_2812`
12×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
5×	`cosh-undef_binary64_3000` `distribute-lft-out_binary64_2757` `associate-/r*_binary64_2750`
4×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
3×	`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 → 50

Calls

2 calls:

14.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 807 to 304 computations (62.3% saved)

series127.0ms (3.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

92.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
26.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 266 to 229 computations (13.9% saved)

simplify113.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5031	1026

prune57.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 859 to 375 computations (56.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite183.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`*-un-lft-identity_binary64_2806`
30×	`times-frac_binary64_2812`
24×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
10×	`cosh-undef_binary64_3000` `distribute-lft-out_binary64_2757` `associate-/r*_binary64_2750`
8×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
6×	`associate-/l*_binary64_2751`
4×	`pow1_binary64_2867` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780`
2×	`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

4 → 100

Calls

4 calls:

13.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 2714 to 1076 computations (60.4% saved)

series242.0ms (6.7%)

Error

Counts

4 → 24

Calls

4 calls:

66.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
57.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
53.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
38.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1148 to 821 computations (28.5% saved)

simplify149.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5031	2052

prune217.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Error

Counts

126 → 2

Compiler

Compiled 3027 to 1314 computations (56.6% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.5b	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

rewrite172.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`*-un-lft-identity_binary64_2806`
24×	`times-frac_binary64_2812`
20×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
8×	`associate-/r*_binary64_2750`
7×	`add-log-exp_binary64_2845`
6×	`cosh-undef_binary64_3000` `distribute-lft-out_binary64_2757`
5×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`pow1_binary64_2867` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l*_binary64_2751`
2×	`sqrt-div_binary64_2823` `associate-/r/_binary64_2752` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

3 → 75

Calls

3 calls:

16.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1965 to 540 computations (72.5% saved)

series247.0ms (6.8%)

Error

Counts

3 → 18

Calls

3 calls:

140.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
43.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 931 to 656 computations (29.5% saved)

simplify127.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4904	1807
1	4904	1807

prune119.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 2183 to 702 computations (67.8% saved)

regimes169.0ms (4.7%)

Accuracy

Total 0.0b remaining (97.5%)

Threshold costs 0.0b (97.5%)

Compiler

Compiled 946 to 674 computations (28.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	24
1	24	24

end0.0ms (0%)

sample1.2s (32.3%)

Algorithm

1×

intervals

Results

372.0ms

8000×

body

128

valid

Compiler

Compiled 271 to 201 computations (25.8% saved)

Details

analyze236.0ms (6.5%)

sample15.0ms (0.4%)

simplify121.0ms (3.4%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

rewrite114.0ms (3.1%)

series127.0ms (3.5%)

simplify113.0ms (3.1%)

prune57.0ms (1.6%)

localize11.0ms (0.3%)

rewrite183.0ms (5%)

series242.0ms (6.7%)

simplify149.0ms (4.1%)

prune217.0ms (6%)

localize16.0ms (0.4%)

rewrite172.0ms (4.7%)

series247.0ms (6.8%)

simplify127.0ms (3.5%)

prune119.0ms (3.3%)

regimes169.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (32.3%)

Profiling