Details

analyze546.0ms (11.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify189.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	514	22
1	514	22

prune2.0ms (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

Merged error: 26.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.8b	(-.f64 (.f64 b c) (.f64 a d))
25.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cube-cbrt_binary64_2805` `add-sqr-sqrt_binary64_2794` `*-un-lft-identity_binary64_2773`
9×	`times-frac_binary64_2779`
7×	`add-log-exp_binary64_2809`
5×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
3×	`pow1_binary64_2831` `associate-/r_binary64_2719` `associate-/l_binary64_2720`
2×	`associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `flip3-+_binary64_2776` `flip3--_binary64_2777` `flip--_binary64_2748` `flip-+_binary64_2747`
1×	`div-sub_binary64_2778` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `diff-log_binary64_2862` `sub-neg_binary64_2766` `div-inv_binary64_2770` `div-exp_binary64_2821` `sum-log_binary64_2861` `clear-num_binary64_2772` `+-commutative_binary64_2705`

Counts

3 → 54

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
5.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series318.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

195.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
85.0ms	(-.f64 (.f64 b c) (.f64 a d))
37.0ms	(+.f64 (.f64 c c) (.f64 d d))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6056	1456

prune83.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	52	11	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	11	64

Merged error: 25.3b

Counts

64 → 11

Compiler

Compiled 1704 to 337 computations (80.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (.f64 b c) (.f64 a d))
14.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2794`
21×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
18×	`times-frac_binary64_2779` `sqrt-prod_binary64_2788`
6×	`sqrt-div_binary64_2789` `add-exp-log_binary64_2808` `pow1_binary64_2831` `associate-/r*_binary64_2719` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809`
3×	`flip3-+_binary64_2776` `associate-/l*_binary64_2720` `flip-+_binary64_2747`
2×	`associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `flip3--_binary64_2777` `flip--_binary64_2748` `sqrt-pow1_binary64_2790` `pow1/2_binary64_2850` `rem-sqrt-square_binary64_2786`
1×	`div-sub_binary64_2778` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `diff-log_binary64_2862` `sub-neg_binary64_2766` `div-inv_binary64_2770` `div-exp_binary64_2821` `clear-num_binary64_2772`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series443.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
82.0ms	(-.f64 (.f64 b c) (.f64 a d))
49.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
49.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4913	2368
1	4913	2368

prune107.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Merged error: 23.8b

Counts

108 → 12

Compiler

Compiled 3429 to 512 computations (85.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (.f64 b c) (.f64 a d))
25.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`sqrt-div_binary64_2789`
10×	`add-sqr-sqrt_binary64_2794`
9×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
8×	`associate-/r/_binary64_2721` `flip3-+_binary64_2776` `add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773` `flip-+_binary64_2747`
6×	`pow1_binary64_2831` `add-log-exp_binary64_2809` `sqrt-prod_binary64_2788`
4×	`frac-times_binary64_2783`
3×	`times-frac_binary64_2779` `associate-/l*_binary64_2720`
2×	`cbrt-undiv_binary64_2804` `associate-/l/_binary64_2722` `flip3--_binary64_2777` `div-exp_binary64_2821` `flip--_binary64_2748` `sqrt-pow1_binary64_2790` `associate-r/_binary64_2717` `pow1/2_binary64_2850` `associate-l/_binary64_2718` `rem-sqrt-square_binary64_2786`
1×	`cbrt-unprod_binary64_2803` `div-sub_binary64_2778` `frac-2neg_binary64_2784` `diff-log_binary64_2862` `sub-neg_binary64_2766` `div-inv_binary64_2770` `associate-/r*_binary64_2719` `clear-num_binary64_2772` `prod-exp_binary64_2819`

Counts

4 → 73

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series374.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
81.0ms	(-.f64 (.f64 b c) (.f64 a d))
47.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5908	1684

prune85.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Merged error: 23.8b

Counts

97 → 12

Compiler

Compiled 2675 to 504 computations (81.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (.f64 b c) (.f64 a d))
14.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.8b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2794`
21×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
18×	`times-frac_binary64_2779` `sqrt-prod_binary64_2788`
6×	`sqrt-div_binary64_2789` `add-exp-log_binary64_2808` `pow1_binary64_2831` `associate-/r*_binary64_2719` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809`
3×	`flip3-+_binary64_2776` `associate-/l*_binary64_2720` `flip-+_binary64_2747`
2×	`associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `flip3--_binary64_2777` `flip--_binary64_2748` `sqrt-pow1_binary64_2790` `pow1/2_binary64_2850` `rem-sqrt-square_binary64_2786`
1×	`div-sub_binary64_2778` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `diff-log_binary64_2862` `sub-neg_binary64_2766` `div-inv_binary64_2770` `div-exp_binary64_2821` `clear-num_binary64_2772`

Counts

4 → 85

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series411.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
73.0ms	(-.f64 (.f64 b c) (.f64 a d))
47.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4913	2368
1	4913	2368

prune100.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	97	12	109

Merged error: 23.8b

Counts

109 → 12

Compiler

Compiled 3398 to 574 computations (83.1% saved)

regimes367.0ms (7.7%)

Compiler: Compiled 4567 to 2526 computations (44.7% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	82
1	62	82

end0.0ms (0%)

sample1.2s (25.8%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
20.0ms	470×	body	128	invalid

Compiler

Compiled 980 to 532 computations (45.7% saved)

Details

analyze546.0ms (11.5%)

sample21.0ms (0.4%)

simplify189.0ms (4%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite26.0ms (0.6%)

series318.0ms (6.7%)

simplify65.0ms (1.4%)

prune83.0ms (1.7%)

localize12.0ms (0.3%)

rewrite33.0ms (0.7%)

series443.0ms (9.3%)

simplify85.0ms (1.8%)

prune107.0ms (2.2%)

localize12.0ms (0.3%)

rewrite38.0ms (0.8%)

series374.0ms (7.8%)

simplify71.0ms (1.5%)

prune85.0ms (1.8%)

localize14.0ms (0.3%)

rewrite34.0ms (0.7%)

series411.0ms (8.6%)

simplify87.0ms (1.8%)

prune100.0ms (2.1%)

regimes367.0ms (7.7%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (25.8%)

Profiling