Details

analyze431.0ms (4.1%)

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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample56.0ms (0.5%)

Algorithm

1×

intervals

Results

42.0ms	245×	body	256	valid
2.0ms	28×	body	128	nan
1.0ms	11×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify334.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (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

Error

36.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_5907`
8×	`sqrt-prod_binary64_5891` `add-sqr-sqrt_binary64_5897`
6×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `pow1_binary64_5936`
4×	`add-exp-log_binary64_5913` `sqrt-div_binary64_5892` `associate-*r/_binary64_5817` `frac-times_binary64_5885` `add-cbrt-cube_binary64_5911` `flip3--_binary64_5879` `add-log-exp_binary64_5914` `flip--_binary64_5850`
2×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `cbrt-prod_binary64_5906` `associate-*l/_binary64_5818` `pow1/2_binary64_5955` `difference-of-squares_binary64_5844` `sqrt-pow1_binary64_5893` `pow1/3_binary64_5957` `rem-sqrt-square_binary64_5888`

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series909.0ms (8.8%)

Counts

4 → 33

Calls

4 calls:

405.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
385.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
58.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2641 to 2156 computations (18.4% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5011	1897

prune219.0ms (2.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	74	19	93
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	19	95

Error

30.9b

Counts

95 → 19

Compiler

Compiled 4576 to 1982 computations (56.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
7.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_5891` `add-sqr-sqrt_binary64_5897`
6×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `pow1_binary64_5936` `add-log-exp_binary64_5914`
5×	`cbrt-div_binary64_5907` `flip3--_binary64_5879` `flip--_binary64_5850`
4×	`add-exp-log_binary64_5913` `sqrt-div_binary64_5892` `add-cbrt-cube_binary64_5911`
3×	`difference-of-squares_binary64_5844`
2×	`pow1/2_binary64_5955` `associate-*r/_binary64_5817` `frac-times_binary64_5885` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888`
1×	`cbrt-prod_binary64_5906` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `associate-*l/_binary64_5818` `pow1/3_binary64_5957`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series631.0ms (6.1%)

Counts

4 → 36

Calls

4 calls:

393.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
116.0ms	(-.f64 (.f64 g g) (.f64 h h))
65.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2346 to 1901 computations (19% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4980	1534
1	4980	1534

prune192.0ms (1.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	94	20	114

Error

30.1b

Counts

114 → 20

Compiler

Compiled 4474 to 1858 computations (58.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
2.2b	(-.f64 (.f64 g g) (.f64 h h))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_5891` `add-sqr-sqrt_binary64_5897` `add-log-exp_binary64_5914`
6×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `pow1_binary64_5936`
4×	`add-exp-log_binary64_5913` `sqrt-div_binary64_5892` `difference-of-squares_binary64_5844` `add-cbrt-cube_binary64_5911` `flip3--_binary64_5879` `flip--_binary64_5850`
2×	`diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series343.0ms (3.3%)

Counts

4 → 39

Calls

4 calls:

115.0ms	(-.f64 (.f64 g g) (.f64 h h))
106.0ms	(-.f64 (.f64 g g) (.f64 h h))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
58.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2263 to 1825 computations (19.4% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4953	1153
1	4953	1153

prune181.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	97	20	117

Error

30.1b

Counts

117 → 20

Compiler

Compiled 4607 to 2013 computations (56.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
7.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_5891` `add-sqr-sqrt_binary64_5897`
6×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `pow1_binary64_5936` `add-log-exp_binary64_5914`
5×	`cbrt-div_binary64_5907`
4×	`add-exp-log_binary64_5913` `sqrt-div_binary64_5892` `add-cbrt-cube_binary64_5911`
3×	`difference-of-squares_binary64_5844` `flip3--_binary64_5879` `flip--_binary64_5850`
2×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `pow1/2_binary64_5955` `associate-*r/_binary64_5817` `frac-times_binary64_5885` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888`
1×	`cbrt-prod_binary64_5906` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `associate-*l/_binary64_5818` `pow1/3_binary64_5957`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series611.0ms (5.9%)

Counts

4 → 36

Calls

4 calls:

386.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
104.0ms	(-.f64 (.f64 g g) (.f64 h h))
63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2432 to 1936 computations (20.4% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4917	1518
1	4917	1518

prune147.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	94	21	115

Error

30.1b

Counts

115 → 21

Compiler

Compiled 3670 to 1361 computations (62.9% saved)

regimes1.8s (17.5%)

Accuracy

Total 1.4b remaining (4.5%)

Threshold costs 0b (0%)

Compiler

Compiled 28766 to 17756 computations (38.3% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	155	271
1	155	271

end0.0ms (0%)

sample4.0s (38.7%)

Algorithm

1×

intervals

Results

1.3s	7587×	body	256	valid
98.0ms	1225×	body	128	nan
35.0ms	413×	body	128	valid

Compiler

Compiled 3946 to 2404 computations (39.1% saved)

Details

analyze431.0ms (4.1%)

sample56.0ms (0.5%)

simplify334.0ms (3.2%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite41.0ms (0.4%)

series909.0ms (8.8%)

simplify80.0ms (0.8%)

prune219.0ms (2.1%)

localize19.0ms (0.2%)

rewrite35.0ms (0.3%)

series631.0ms (6.1%)

simplify65.0ms (0.6%)

prune192.0ms (1.9%)

localize21.0ms (0.2%)

rewrite24.0ms (0.2%)

series343.0ms (3.3%)

simplify47.0ms (0.5%)

prune181.0ms (1.7%)

localize20.0ms (0.2%)

rewrite35.0ms (0.3%)

series611.0ms (5.9%)

simplify66.0ms (0.6%)

prune147.0ms (1.4%)

regimes1.8s (17.5%)

bsearch8.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.0s (38.7%)

Profiling