Details

analyze65.0ms (1.9%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	233×	body	128	valid
4.0ms	10×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	4×	body	256	valid
0.0ms	4×	body	128	invalid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify235.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2806`
8×	`log-prod_binary64_2892`
6×	`add-log-exp_binary64_2845`
5×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `associate--l+_binary64_2743` `log-div_binary64_2893` `pow1_binary64_2867`
3×	`distribute-lft-out_binary64_2757` `add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`associate--l-_binary64_2744`
1×	`cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `diff-log_binary64_2898` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `sum-log_binary64_2897` `flip--_binary64_2781` `log-pow_binary64_2895` `+-commutative_binary64_2736`

Counts

3 → 45

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series93.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
42.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify122.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune53.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

Compiler

Compiled 823 to 470 computations (42.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
0.7b	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2806`
14×	`cbrt-prod_binary64_2837`
11×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
10×	`pow1_binary64_2867`
8×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
6×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845`
5×	`add-cbrt-cube_binary64_2842` `log-pow_binary64_2895`
4×	`log-prod_binary64_2892`
3×	`pow-unpow_binary64_2883`
2×	`distribute-lft-out_binary64_2757` `log-div_binary64_2893` `unpow3_binary64_2872` `flip-+_binary64_2780` `flip3-+_binary64_2809` `sqr-pow_binary64_2778` `cube-mult_binary64_2836`
1×	`pow-exp_binary64_2874` `pow1/3_binary64_2888` `pow-pow_binary64_2878` `rem-log-exp_binary64_2847` `pow-to-exp_binary64_2875` `sum-log_binary64_2897` `rem-cbrt-cube_binary64_2830` `+-commutative_binary64_2736` `rem-cube-cbrt_binary64_2829`

Counts

4 → 75

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))

series170.0ms (5%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
48.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
44.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
6.0ms	(+.f64 1 (exp.f64 x))

simplify106.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4885	1105
1	4885	1105

prune89.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

Compiler

Compiled 1402 to 894 computations (36.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_2892`
26×	`*-un-lft-identity_binary64_2806`
20×	`sqrt-prod_binary64_2822`
14×	`add-sqr-sqrt_binary64_2828`
13×	`add-cube-cbrt_binary64_2841`
10×	`pow1_binary64_2867`
9×	`associate-+r+_binary64_2738`
8×	`sqrt-div_binary64_2823`
7×	`associate--l+_binary64_2743` `distribute-lft-out_binary64_2757` `associate-+l+_binary64_2739` `log-pow_binary64_2895`
6×	`add-exp-log_binary64_2844` `log-div_binary64_2893` `add-log-exp_binary64_2845`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
4×	`add-cbrt-cube_binary64_2842`
3×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
2×	`associate-+l-_binary64_2741` `rem-log-exp_binary64_2847` `sum-log_binary64_2897`
1×	`cancel-sign-sub-inv_binary64_2772` `diff-log_binary64_2898` `associate-+r-_binary64_2740` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819` `+-commutative_binary64_2736`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series206.0ms (6%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
58.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
57.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
18.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify118.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4893	1657
1	4893	1657

prune116.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

Compiler

Compiled 2183 to 1387 computations (36.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (.f64 x y)))
0.7b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
1.2b	(log.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite88.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`sqrt-prod_binary64_2822`
65×	`sqrt-pow1_binary64_2824`
58×	`add-sqr-sqrt_binary64_2828`
54×	`pow1_binary64_2867`
52×	`sqrt-div_binary64_2823`
41×	`*-un-lft-identity_binary64_2806`
33×	`pow1/2_binary64_2886`
26×	`log-pow_binary64_2895`
20×	`add-cube-cbrt_binary64_2841`
18×	`pow-prod-up_binary64_2876` `swap-sqr_binary64_2773`
16×	`log-prod_binary64_2892`
15×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
12×	`log-div_binary64_2893`
10×	`associate-l_binary64_2747` `pow-sqr_binary64_2779` `add-exp-log_binary64_2844` `distribute-lft-out_binary64_2757` `associate-r_binary64_2746` `pow-prod-down_binary64_2877`
9×	`unswap-sqr_binary64_2774`
8×	`frac-times_binary64_2816` `rem-sqrt-square_binary64_2819`
7×	`associate-+l+_binary64_2739`
6×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
4×	`sqr-abs_binary64_2821` `associate-r/_binary64_2748` `associate-l/_binary64_2749`
3×	`associate-+r+_binary64_2738` `rem-log-exp_binary64_2847`
2×	`associate-+l-_binary64_2741` `prod-exp_binary64_2855` `sum-log_binary64_2897` `pow2_binary64_2887` `pow-plus_binary64_2869`
1×	`cancel-sign-sub-inv_binary64_2772` `associate--l+_binary64_2743` `*-commutative_binary64_2737` `diff-log_binary64_2898` `associate-+r-_binary64_2740` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `rem-square-sqrt_binary64_2818` `+-commutative_binary64_2736`

Counts

4 → 179

Calls

4 calls:

25.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (.f64 x y)))
18.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
18.0ms	(log.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series222.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (.f64 x y)))
67.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
58.0ms	(log.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
20.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))

simplify118.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4963	2913
1	4963	2913

prune282.0ms (8.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	191	3	194

Merged error: 0b

Counts

194 → 3

Compiler

Compiled 4724 to 3091 computations (34.6% saved)

regimes94.0ms (2.8%)

Compiler: Compiled 844 to 702 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample1.1s (32%)

Algorithm

1×

intervals

Results

374.0ms	7413×	body	128	valid
83.0ms	206×	body	1024	valid
52.0ms	228×	body	512	valid
23.0ms	151×	body	256	valid
3.0ms	45×	body	128	invalid
2.0ms	2×	body	2048	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 326 to 272 computations (16.6% saved)

Details

analyze65.0ms (1.9%)

sample26.0ms (0.8%)

simplify235.0ms (6.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series93.0ms (2.7%)

simplify122.0ms (3.6%)

prune53.0ms (1.6%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series170.0ms (5%)

simplify106.0ms (3.1%)

prune89.0ms (2.6%)

localize12.0ms (0.4%)

rewrite35.0ms (1%)

series206.0ms (6%)

simplify118.0ms (3.4%)

prune116.0ms (3.4%)

localize14.0ms (0.4%)

rewrite88.0ms (2.6%)

series222.0ms (6.5%)

simplify118.0ms (3.4%)

prune282.0ms (8.3%)

regimes94.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (32%)

Profiling