Details

analyze244.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
0	2	2
1	2	2

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)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify43.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

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)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819`
8×	`add-sqr-sqrt_binary64_1805` `add-log-exp_binary64_1822`
7×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `unpow-prod-down_binary64_1862` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `sum-log_binary64_1874` `flip3-+_binary64_1786`
1×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `-commutative_binary64_1714` `pow-pow_binary64_1855` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-r*_binary64_1723`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

series120.0ms (5%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
22.0ms	(+.f64 (.f64 a a) (.f64 b b))
21.0ms	(.f64 4 (.f64 b b))

simplify83.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	1108
1	4980	1108

prune79.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Compiler

Compiled 1595 to 757 computations (52.5% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.9b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite65.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
18×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
9×	`sum-log_binary64_1874`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724`
2×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `-commutative_binary64_1714` `flip3-+_binary64_1786` `associate-r*_binary64_1723`
1×	`associate-+r+_binary64_1715` `associate-+l+_binary64_1716` `unswap-sqr_binary64_1751`

Counts

4 → 74

Calls

4 calls:

22.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
18.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
8.0ms	(.f64 4 (.f64 b b))

series135.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
41.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
28.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
18.0ms	(.f64 4 (.f64 b b))

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	1703
1	4966	1703

prune121.0ms (5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

Counts

88 → 2

Compiler

Compiled 2538 to 1664 computations (34.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
3.3b	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
11.5b	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `log-prod_binary64_1869` `add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822`
6×	`exp-sum_binary64_1829`
3×	`distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `distribute-rgt-in_binary64_1733` `pow-prod-down_binary64_1854`
2×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `log-div_binary64_1870`
1×	`rem-exp-log_binary64_1823` `log-pow_binary64_1872` `+-commutative_binary64_1713` `exp-to-pow_binary64_1845` `-commutative_binary64_1714` `sum-log_binary64_1874` `unswap-sqr_binary64_1751` `exp-prod_binary64_1835` `rem-log-exp_binary64_1824` `associate-r*_binary64_1723`

Counts

4 → 60

Calls

4 calls:

9.0ms	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
4.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))

series126.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(+.f64 (exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (.f64 b b))))) (.f64 4 (*.f64 b b)))
36.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))
27.0ms	(exp.f64 (.f64 2 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
18.0ms	(.f64 4 (.f64 b b))

simplify91.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4923	1171
1	4923	1171

prune73.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 1680 to 795 computations (52.7% saved)

regimes198.0ms (8.2%)

Accuracy

Total 0.0b remaining (82%)

Threshold costs 0.0b (82%)

Compiler

Compiled 2337 to 1656 computations (29.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample853.0ms (35.3%)

Algorithm

1×

intervals

Results

349.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 359 to 259 computations (27.9% saved)

Details

analyze244.0ms (10.1%)

sample18.0ms (0.7%)

simplify43.0ms (1.8%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite28.0ms (1.2%)

series120.0ms (5%)

simplify83.0ms (3.4%)

prune79.0ms (3.3%)

localize18.0ms (0.7%)

rewrite65.0ms (2.7%)

series135.0ms (5.6%)

simplify65.0ms (2.7%)

prune121.0ms (5%)

localize15.0ms (0.6%)

rewrite30.0ms (1.2%)

series126.0ms (5.2%)

simplify91.0ms (3.7%)

prune73.0ms (3%)

regimes198.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (35.3%)

Profiling