Details

analyze747.0ms (14.1%)

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)

sample38.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify162.0ms (3.1%)

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%)

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

27.1b

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))
0.5b	(+.f64 (.f64 a c) (.f64 b d))
26.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
7×	`add-log-exp_binary64_1822`
5×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `pow1_binary64_1844`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `+-commutative_binary64_1713` `sum-log_binary64_1874`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

3 → 53

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(+.f64 (.f64 c c) (.f64 d d))
6.0ms	(+.f64 (.f64 a c) (.f64 b d))

series233.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

153.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
49.0ms	(+.f64 (.f64 a c) (.f64 b d))
31.0ms	(+.f64 (.f64 c c) (.f64 d d))

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5571	1420

prune112.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Error

26.4b

Counts

63 → 7

Compiler

Compiled 1588 to 278 computations (82.5% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
15.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`sqrt-prod_binary64_1799` `times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-/r*_binary64_1727` `sqrt-div_binary64_1800` `add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l*_binary64_1728`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`+-commutative_binary64_1713` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 84

Calls

4 calls:

10.0ms	(/.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)))

series301.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
68.0ms	(+.f64 (.f64 a c) (.f64 b d))
32.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5230	2326

prune130.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	91	12	103

Error

24.4b

Counts

103 → 12

Compiler

Compiled 3420 to 507 computations (85.2% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
15.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite58.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`sqrt-prod_binary64_1799` `times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-/r*_binary64_1727` `sqrt-div_binary64_1800` `add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l*_binary64_1728`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`+-commutative_binary64_1713` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 84

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(+.f64 (.f64 a c) (.f64 b d))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series305.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
43.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
41.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
39.0ms	(+.f64 (.f64 a c) (.f64 b d))

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5230	2326

prune129.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Error

24.4b

Counts

108 → 12

Compiler

Compiled 3587 to 698 computations (80.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.8b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
15.8b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`cbrt-prod_binary64_1814` `sqrt-prod_binary64_1799` `pow1_binary64_1844`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `flip-+_binary64_1757` `cbrt-div_binary64_1815` `sqrt-div_binary64_1800` `flip3-+_binary64_1786` `add-log-exp_binary64_1822`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `pow1/3_binary64_1865` `rem-sqrt-square_binary64_1796`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
7.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
5.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series393.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
148.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
46.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
36.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5589	1130

prune97.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	68	12	80

Error

24.4b

Counts

80 → 12

Compiler

Compiled 3378 to 350 computations (89.6% saved)

regimes540.0ms (10.2%)

Accuracy

Total 2.9b remaining (11.1%)

Threshold costs 0b (0%)

Compiler

Compiled 5142 to 2851 computations (44.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	38
1	18	38

end0.0ms (0%)

sample1.5s (28.3%)

Algorithm

1×

intervals

Results

478.0ms	8000×	body	128	valid
25.0ms	434×	body	128	invalid

Compiler

Compiled 1065 to 590 computations (44.6% saved)

Details

analyze747.0ms (14.1%)

sample38.0ms (0.7%)

simplify162.0ms (3.1%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite30.0ms (0.6%)

series233.0ms (4.4%)

simplify98.0ms (1.8%)

prune112.0ms (2.1%)

localize23.0ms (0.4%)

rewrite31.0ms (0.6%)

series301.0ms (5.7%)

simplify101.0ms (1.9%)

prune130.0ms (2.5%)

localize24.0ms (0.5%)

rewrite58.0ms (1.1%)

series305.0ms (5.8%)

simplify92.0ms (1.7%)

prune129.0ms (2.4%)

localize17.0ms (0.3%)

rewrite38.0ms (0.7%)

series393.0ms (7.4%)

simplify75.0ms (1.4%)

prune97.0ms (1.8%)

regimes540.0ms (10.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (28.3%)

Profiling