Details

analyze66.0ms (1.8%)

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 (0.5%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify125.0ms (3.3%)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.8%)

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:

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

series115.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
33.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
20.0ms	(+.f64 (.f64 a a) (.f64 b b))
17.0ms	(.f64 4 (.f64 b b))

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	1108
1	4980	1108

prune81.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Merged error: 0b

Counts

72 → 3

Compiler

Compiled 1653 to 788 computations (52.3% saved)

localize14.0ms (0.4%)

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))
3.1b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite61.0ms (1.6%)

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:

19.0ms	(+.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)))
16.0ms	(+.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)))
5.0ms	(.f64 4 (.f64 b b))

series130.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.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)))
37.0ms	(+.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))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4966	1703
1	4966	1703

prune120.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 2596 to 1695 computations (34.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))
16.9b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
16.9b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
16.9b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-div_binary64_1815`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

series527.0ms (14%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
135.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
129.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
123.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4941	3667
1	4941	3667

prune221.0ms (5.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 5909 to 2711 computations (54.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.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 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b))) 2)
23.7b	(/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b)))

rewrite102.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`add-sqr-sqrt_binary64_1805`
134×	`unpow-prod-down_binary64_1862`
112×	`times-frac_binary64_1789`
110×	`difference-of-squares_binary64_1752`
81×	`*-un-lft-identity_binary64_1783`
55×	`sqr-pow_binary64_1755`
45×	`add-cube-cbrt_binary64_1818`
18×	`distribute-lft-out--_binary64_1735`
14×	`associate-/l*_binary64_1728` `add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819`
10×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822`
4×	`associate-/r/_binary64_1729` `associate-/r*_binary64_1727`
3×	`flip3--_binary64_1787` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `associate-l_binary64_1724` `pow-prod-down_binary64_1854` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `div-inv_binary64_1780` `div-exp_binary64_1834` `pow-exp_binary64_1851`
1×	`div-sub_binary64_1788` `+-commutative_binary64_1713` `unpow2_binary64_1848` `flip-+_binary64_1757` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `associate-r*_binary64_1723`

Counts

4 → 199

Calls

4 calls:

36.0ms	(+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b))) 2) (.f64 4 (.f64 b b)))
18.0ms	(pow.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b))) 2)
15.0ms	(/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))

series240.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b))) 2) (.f64 4 (.f64 b b)))
66.0ms	(pow.f64 (/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b))) 2)
52.0ms	(/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (.f64 a a) (.f64 b b)))
17.0ms	(.f64 4 (.f64 b b))

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5880	6616

prune296.0ms (7.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	211	3	214

Merged error: 0b

Counts

214 → 3

Compiler

Compiled 7091 to 3271 computations (53.9% saved)

regimes250.0ms (6.7%)

Compiler: Compiled 3610 to 2334 computations (35.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample904.0ms (24.1%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 535 to 355 computations (33.6% saved)

Details

analyze66.0ms (1.8%)

sample20.0ms (0.5%)

simplify125.0ms (3.3%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite29.0ms (0.8%)

series115.0ms (3.1%)

simplify78.0ms (2.1%)

prune81.0ms (2.2%)

localize14.0ms (0.4%)

rewrite61.0ms (1.6%)

series130.0ms (3.5%)

simplify67.0ms (1.8%)

prune120.0ms (3.2%)

localize14.0ms (0.4%)

rewrite55.0ms (1.5%)

series527.0ms (14%)

simplify95.0ms (2.5%)

prune221.0ms (5.9%)

localize14.0ms (0.4%)

rewrite102.0ms (2.7%)

series240.0ms (6.4%)

simplify119.0ms (3.2%)

prune296.0ms (7.9%)

regimes250.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (24.1%)

Profiling