Details

analyze534.0ms (14.5%)

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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

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: 22.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
21.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`times-frac_binary64_2812`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
3×	`associate-/r_binary64_2750` `flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-/l_binary64_2751`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `pow1_binary64_2867`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

2 → 42

Calls

2 calls:

13.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

series131.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
37.0ms	(+.f64 (.f64 a c) (.f64 b d))

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5447	1227

prune61.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 21.5b

Counts

49 → 9

Compiler

Compiled 1331 to 254 computations (80.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
11.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2828`
21×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
18×	`times-frac_binary64_2812` `sqrt-prod_binary64_2822`
6×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750` `add-log-exp_binary64_2845` `pow1_binary64_2867`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
3×	`associate-/l*_binary64_2751`
2×	`associate-/l/_binary64_2753` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 84

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series209.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
35.0ms	(+.f64 (.f64 a c) (.f64 b d))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5230	2326

prune101.0ms (2.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	93	12	105

Merged error: 19.0b

Counts

105 → 12

Compiler

Compiled 3361 to 482 computations (85.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
11.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2828`
21×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
18×	`times-frac_binary64_2812` `sqrt-prod_binary64_2822`
6×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750` `add-log-exp_binary64_2845` `pow1_binary64_2867`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
3×	`associate-/l*_binary64_2751`
2×	`associate-/l/_binary64_2753` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 84

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series199.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
35.0ms	(+.f64 (.f64 a c) (.f64 b d))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
22.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5230	2326

prune100.0ms (2.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	96	12	108

Merged error: 19.0b

Counts

108 → 12

Compiler

Compiled 3530 to 675 computations (80.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

11.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_2828`
22×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
21×	`sqrt-prod_binary64_2822`
18×	`times-frac_binary64_2812`
8×	`sqrt-div_binary64_2823`
7×	`pow1_binary64_2867`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
4×	`add-log-exp_binary64_2845`
3×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate-/l*_binary64_2751`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 88

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b 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	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series191.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
23.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5043	2368

prune107.0ms (2.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	99	13	112

Merged error: 19.0b

Counts

112 → 13

Compiler

Compiled 4369 to 427 computations (90.2% saved)

regimes336.0ms (9.1%)

Compiler: Compiled 4247 to 2376 computations (44.1% saved)

bsearch2.0ms (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	70	83
1	70	83

end0.0ms (0%)

sample1.2s (31.4%)

Algorithm

1×

intervals

Results

349.0ms	8000×	body	128	valid
23.0ms	490×	body	128	invalid

Compiler

Compiled 916 to 502 computations (45.2% saved)

Details

analyze534.0ms (14.5%)

sample22.0ms (0.6%)

simplify96.0ms (2.6%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite20.0ms (0.5%)

series131.0ms (3.5%)

simplify60.0ms (1.6%)

prune61.0ms (1.7%)

localize12.0ms (0.3%)

rewrite29.0ms (0.8%)

series209.0ms (5.7%)

simplify65.0ms (1.8%)

prune101.0ms (2.8%)

localize14.0ms (0.4%)

rewrite30.0ms (0.8%)

series199.0ms (5.4%)

simplify68.0ms (1.8%)

prune100.0ms (2.7%)

localize15.0ms (0.4%)

rewrite31.0ms (0.8%)

series191.0ms (5.2%)

simplify81.0ms (2.2%)

prune107.0ms (2.9%)

regimes336.0ms (9.1%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (31.4%)

Profiling