Details

analyze898.0ms (20.7%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample38.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
7.0ms	165×	body	80	invalid

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	15
1	48	15

prune7.0ms (0.2%)

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: 35.2b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
20.5b	(/.f64 (.f64 x x) (.f64 y y))
23.0b	(/.f64 (.f64 z z) (.f64 t t))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

series47.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
8.0ms	(/.f64 (.f64 z z) (.f64 t t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4972	598
1	4972	598

prune114.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	55	9	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	9	65

Merged error: 2.9b

Counts

65 → 9

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))
20.5b	(/.f64 (.f64 x x) (.f64 y y))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
31×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
10×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `div-inv_binary64`
4×	`unswap-sqr_binary64`
3×	`frac-add_binary64`
2×	`associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 102

Calls

3 calls:

11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
9.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

series48.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))
7.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5240	970

prune180.0ms (4.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	104	16	120

Merged error: 0.1b

Counts

120 → 16

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
17×	`pow1_binary64`
9×	`frac-add_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 154

Calls

3 calls:

11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))

series47.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
7.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
7.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4990	1511
1	4990	1511

prune234.0ms (5.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	152	11	163
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	162	17	179

Merged error: 0.0b

Counts

179 → 17

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

series78.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 y)

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune59.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	56	17	73

Merged error: 0.0b

Counts

73 → 17

regimes1.2s (28.6%)

Accuracy

Total 0.8b remaining (91.9%)

Threshold costs 0.8b (91.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	19	29

end0.0ms (0%)

sample1.0s (23.3%)

Algorithm

1×

intervals

Results

379.0ms	8000×	body	80	valid
275.0ms	5812×	body	80	invalid

Details

analyze898.0ms (20.7%)

sample38.0ms (0.9%)

simplify6.0ms (0.1%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite25.0ms (0.6%)

series47.0ms (1.1%)

simplify51.0ms (1.2%)

prune114.0ms (2.6%)

localize9.0ms (0.2%)

rewrite31.0ms (0.7%)

series48.0ms (1.1%)

simplify44.0ms (1%)

prune180.0ms (4.2%)

localize8.0ms (0.2%)

rewrite38.0ms (0.9%)

series47.0ms (1.1%)

simplify52.0ms (1.2%)

prune234.0ms (5.4%)

localize16.0ms (0.4%)

rewrite6.0ms (0.1%)

series78.0ms (1.8%)

simplify39.0ms (0.9%)

prune59.0ms (1.4%)

regimes1.2s (28.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (23.3%)

Profiling