Details

analyze75.0ms (2.5%)

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify130.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite73.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

9×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
8×	`add-cbrt-cube_binary64_1819`
7×	`add-sqr-sqrt_binary64_1805`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`add-log-exp_binary64_1822`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

3 → 48

Calls

3 calls:

9.0ms	(.f64 4 (.f64 b b))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1155 to 509 computations (55.9% saved)

series355.0ms (11.9%)

Error

Counts

3 → 33

Calls

3 calls:

197.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
98.0ms	(+.f64 (.f64 a a) (.f64 b b))
25.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1449 to 1154 computations (20.4% saved)

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	972
1	4931	972

prune80.0ms (2.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	1	82

Error

Counts

82 → 1

Compiler

Compiled 1616 to 768 computations (52.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.8b	(.f64 (.f64 a a) (*.f64 b b))

rewrite190.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`pow1_binary64_1844`
39×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
30×	`pow-prod-down_binary64_1854`
24×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
9×	`add-log-exp_binary64_1822`
7×	`add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`pow-prod-up_binary64_1853` `pow-plus_binary64_1846`
3×	`associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874`
2×	`pow2_binary64_1864` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r+_binary64_1715` `+-commutative_binary64_1713`

Counts

4 → 88

Calls

4 calls:

20.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
12.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2862 to 1501 computations (47.6% saved)

series570.0ms (19.1%)

Error

Counts

4 → 33

Calls

4 calls:

311.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
106.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
84.0ms	(.f64 (.f64 a a) (*.f64 b b))
30.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1959 to 1550 computations (20.9% saved)

simplify54.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4993	1604
1	4993	1604

prune162.0ms (5.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	1	122

Error

Counts

122 → 1

Compiler

Compiled 3197 to 1831 computations (42.7% saved)

regimes354.0ms (11.8%)

Accuracy

Total 0.0b remaining (50.2%)

Threshold costs 0.0b (50.2%)

Compiler

Compiled 1748 to 1116 computations (36.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample830.0ms (27.7%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 271 to 180 computations (33.6% saved)

Details

analyze75.0ms (2.5%)

sample20.0ms (0.7%)

simplify130.0ms (4.3%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite73.0ms (2.4%)

series355.0ms (11.9%)

simplify69.0ms (2.3%)

prune80.0ms (2.7%)

localize14.0ms (0.5%)

rewrite190.0ms (6.4%)

series570.0ms (19.1%)

simplify54.0ms (1.8%)

prune162.0ms (5.4%)

regimes354.0ms (11.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample830.0ms (27.7%)

Profiling