Details

analyze581.0ms (17.5%)

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
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify168.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (0.1%)

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

Merged error: 9.7b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
4×	`div-exp_binary64_1850` `prod-exp_binary64_1848` `cbrt-undiv_binary64_1833` `cbrt-unprod_binary64_1832`
1×	`pow1_binary64_1860` `add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `clear-num_binary64_1798` `associate-/l_binary64_1744` `add-log-exp_binary64_1838` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `*-un-lft-identity_binary64_1799` `times-frac_binary64_1805` `div-inv_binary64_1796`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series59.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune63.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Merged error: 0.0b

Counts

25 → 8

Compiler

Compiled 881 to 514 computations (41.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (*.f64 b1 b2))
9.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_1837`
30×	`prod-exp_binary64_1848`
28×	`add-cbrt-cube_binary64_1835`
12×	`div-exp_binary64_1850` `cbrt-unprod_binary64_1832`
10×	`pow1_binary64_1860`
7×	`associate-r_binary64_1739`
6×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `rec-exp_binary64_1849` `1-exp_binary64_1843` `*-un-lft-identity_binary64_1799` `times-frac_binary64_1805` `cbrt-undiv_binary64_1833`
4×	`pow-prod-down_binary64_1870`
3×	`associate-/l*_binary64_1744`
2×	`add-log-exp_binary64_1838` `pow-flip_binary64_1873` `div-inv_binary64_1796`
1×	`clear-num_binary64_1798` `un-div-inv_binary64_1797` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `associate-l_binary64_1740` `associate-r/_binary64_1741` `*-commutative_binary64_1730` `inv-pow_binary64_1884`

Counts

2 → 68

Calls

2 calls:

10.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
5.0ms	(/.f64 1 (*.f64 b1 b2))

series83.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
19.0ms	(/.f64 1 (*.f64 b1 b2))

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5116	723

prune83.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

Compiler

Compiled 1337 to 666 computations (50.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
5.3b	(/.f64 a2 (*.f64 b1 b2))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
9×	`add-sqr-sqrt_binary64_1821`
7×	`add-cube-cbrt_binary64_1834` `-un-lft-identity_binary64_1799` `associate-r*_binary64_1739`
6×	`times-frac_binary64_1805`
5×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
4×	`pow1_binary64_1860` `div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
3×	`associate-/l_binary64_1744` `associate-l*_binary64_1740`
2×	`add-log-exp_binary64_1838` `div-inv_binary64_1796`
1×	`clear-num_binary64_1798` `unswap-sqr_binary64_1767` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `associate-r/_binary64_1741` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
5.0ms	(/.f64 a2 (*.f64 b1 b2))

series101.0ms (3%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
35.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify91.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4975	570
1	4975	570

prune89.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	51	11	62

Merged error: 0.0b

Counts

62 → 11

Compiler

Compiled 1369 to 751 computations (45.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a2)
0.6b	(cbrt.f64 a2)
2.4b	(.f64 (/.f64 (.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2))
4.1b	(.f64 a1 (.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2)))

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64_1837`
40×	`add-cbrt-cube_binary64_1835`
38×	`add-sqr-sqrt_binary64_1821`
28×	`times-frac_binary64_1805`
23×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `associate-r_binary64_1739`
22×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
17×	`cbrt-prod_binary64_1830`
14×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
11×	`pow1_binary64_1860`
10×	`associate-l_binary64_1740`
6×	`unswap-sqr_binary64_1767`
5×	`associate-*r/_binary64_1741`
4×	`add-log-exp_binary64_1838` `pow-prod-down_binary64_1870`
2×	`pow1/3_binary64_1881` `-commutative_binary64_1730` `div-inv_binary64_1796` `frac-times_binary64_1809` `associate-l/_binary64_1742`

Counts

4 → 112

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2))
14.0ms	(.f64 a1 (.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2)))
1.0ms	(cbrt.f64 a2)
1.0ms	(cbrt.f64 a2)

series512.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 a2)
149.0ms	(cbrt.f64 a2)
129.0ms	(.f64 a1 (.f64 (/.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2)))
76.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 a2) (cbrt.f64 a2)) b1) (/.f64 (cbrt.f64 a2) b2))

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4997	1502
1	4997	1502

prune109.0ms (3.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	125	10	135

Merged error: 0b

Counts

135 → 10

Compiler

Compiled 2211 to 821 computations (62.9% saved)

regimes276.0ms (8.3%)

Compiler: Compiled 1001 to 811 computations (19% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	105
1	34	105

end0.0ms (0%)

sample759.0ms (22.8%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
50.0ms	1806×	body	128	invalid

Compiler

Compiled 201 to 134 computations (33.3% saved)

Details

analyze581.0ms (17.5%)

sample20.0ms (0.6%)

simplify168.0ms (5.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.2%)

series59.0ms (1.8%)

simplify74.0ms (2.2%)

prune63.0ms (1.9%)

localize7.0ms (0.2%)

rewrite20.0ms (0.6%)

series83.0ms (2.5%)

simplify71.0ms (2.1%)

prune83.0ms (2.5%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series101.0ms (3%)

simplify91.0ms (2.7%)

prune89.0ms (2.7%)

localize12.0ms (0.4%)

rewrite44.0ms (1.3%)

series512.0ms (15.4%)

simplify64.0ms (1.9%)

prune109.0ms (3.3%)

regimes276.0ms (8.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample759.0ms (22.8%)

Profiling