Details

analyze265.0ms (6.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify176.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	10
1	30	10

prune2.0ms (0%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1821` `*-un-lft-identity_binary64_1799`
4×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837` `associate-r_binary64_1739`
3×	`associate-l_binary64_1740`
2×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `associate-*r/_binary64_1741` `associate-+r+_binary64_1731` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870` `distribute-lft-out_binary64_1750`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series106.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 y (+.f64 z x))
53.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5075	467

prune40.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

Compiler

Compiled 743 to 303 computations (59.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1830`
23×	`add-sqr-sqrt_binary64_1821`
15×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
11×	`pow1_binary64_1860`
9×	`pow1/3_binary64_1881`
6×	`associate-l_binary64_1740` `add-exp-log_binary64_1837` `swap-sqr_binary64_1766` `associate-r_binary64_1739`
4×	`add-log-exp_binary64_1838` `unswap-sqr_binary64_1767` `add-cbrt-cube_binary64_1835`
2×	`pow-sqr_binary64_1772` `pow-prod-up_binary64_1869` `pow-prod-down_binary64_1870`
1×	`pow2_binary64_1880` `prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-plus_binary64_1862`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series613.0ms (16%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
153.0ms	(cbrt.f64 y)
148.0ms	(cbrt.f64 y)
142.0ms	(cbrt.f64 y)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5245	563

prune83.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 1715 to 599 computations (65.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64_1830`
13×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
9×	`unpow-prod-down_binary64_1878`
5×	`pow1_binary64_1860` `add-exp-log_binary64_1837`
4×	`add-log-exp_binary64_1838` `pow1/3_binary64_1881` `add-cbrt-cube_binary64_1835`
3×	`pow-unpow_binary64_1876`
2×	`pow-pow_binary64_1871`
1×	`pow-to-exp_binary64_1868` `pow-exp_binary64_1867` `sqr-pow_binary64_1771`

Counts

4 → 63

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

series858.0ms (22.4%)

Counts

4 → 12

Calls

4 calls:

313.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)
198.0ms	(cbrt.f64 (cbrt.f64 y))
195.0ms	(cbrt.f64 (cbrt.f64 y))
151.0ms	(cbrt.f64 y)

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4681	730
1	4681	730

prune77.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0b

Counts

80 → 5

Compiler

Compiled 1674 to 622 computations (62.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (+.f64 x z) (cbrt.f64 y))
0.3b	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (+.f64 x z) (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
28.0b	(cbrt.f64 (*.f64 y y))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1821`
11×	`pow1_binary64_1860` `*-un-lft-identity_binary64_1799` `add-exp-log_binary64_1837`
9×	`add-cube-cbrt_binary64_1834` `cbrt-prod_binary64_1830`
8×	`associate-l_binary64_1740`
7×	`add-cbrt-cube_binary64_1835` `associate-r_binary64_1739`
4×	`add-log-exp_binary64_1838` `prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870` `associate-*l/_binary64_1742`
2×	`pow1/3_binary64_1881` `unswap-sqr_binary64_1767` `associate-r/_binary64_1741` `-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`distribute-lft-out_binary64_1750`

Counts

4 → 66

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (+.f64 x z) (cbrt.f64 y)))
8.0ms	(*.f64 (+.f64 x z) (cbrt.f64 y))
3.0ms	(cbrt.f64 (*.f64 y y))
1.0ms	(cbrt.f64 y)

series584.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (+.f64 x z) (cbrt.f64 y))
168.0ms	(cbrt.f64 y)
144.0ms	(cbrt.f64 (*.f64 y y))
88.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (+.f64 x z) (cbrt.f64 y)))

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4978	899
1	4978	899

prune61.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	78	5	83

Merged error: 0b

Counts

83 → 5

Compiler

Compiled 1391 to 384 computations (72.4% saved)

regimes52.0ms (1.4%)

Compiler: Compiled 288 to 218 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample499.0ms (13%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
14.0ms	601×	body	128	invalid

Compiler

Compiled 82 to 63 computations (23.2% saved)

Details

analyze265.0ms (6.9%)

sample14.0ms (0.4%)

simplify176.0ms (4.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite13.0ms (0.3%)

series106.0ms (2.8%)

simplify65.0ms (1.7%)

prune40.0ms (1%)

localize9.0ms (0.2%)

rewrite18.0ms (0.5%)

series613.0ms (16%)

simplify53.0ms (1.4%)

prune83.0ms (2.2%)

localize12.0ms (0.3%)

rewrite15.0ms (0.4%)

series858.0ms (22.4%)

simplify105.0ms (2.7%)

prune77.0ms (2%)

localize10.0ms (0.2%)

rewrite29.0ms (0.8%)

series584.0ms (15.2%)

simplify70.0ms (1.8%)

prune61.0ms (1.6%)

regimes52.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample499.0ms (13%)

Profiling