Details

analyze352.0ms (18%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample20.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify61.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune13.0ms (0.7%)

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: 0.0b

Counts

2 → 2

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))
0.0b	(+.f64 0.75 (/.f64 (-.f64 x z) y))
0.0b	(/.f64 (-.f64 x z) y)

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+.f64 0.75 (/.f64 (-.f64 x z) y))
6.0ms	(/.f64 (-.f64 x z) y)
4.0ms	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))

series25.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))
9.0ms	(/.f64 (-.f64 x z) y)
7.0ms	(+.f64 0.75 (/.f64 (-.f64 x z) y))

simplify56.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5911	740

prune86.0ms (4.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 4.0 (*.f64 (/.f64 (-.f64 x z) y) 4.0))
0.0b	(*.f64 (/.f64 (-.f64 x z) y) 4.0)
0.0b	(/.f64 (-.f64 x z) y)

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 89

Calls

3 calls:

9.0ms	(*.f64 (/.f64 (-.f64 x z) y) 4.0)
6.0ms	(/.f64 (-.f64 x z) y)
4.0ms	(+.f64 4.0 (*.f64 (/.f64 (-.f64 x z) y) 4.0))

series29.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 4.0 (*.f64 (/.f64 (-.f64 x z) y) 4.0))
10.0ms	(*.f64 (/.f64 (-.f64 x z) y) 4.0)
8.0ms	(/.f64 (-.f64 x z) y)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5063	901

prune103.0ms (5.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 4.0 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0))
0.0b	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0)
0.0b	(-.f64 (/.f64 x y) (/.f64 z y))

rewrite36.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
12×	`associate-l_binary64`
9×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`div-inv_binary64` `associate-*l/_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

16.0ms	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0)
13.0ms	(-.f64 (/.f64 x y) (/.f64 z y))
5.0ms	(+.f64 4.0 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0))

series27.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0)
9.0ms	(+.f64 4.0 (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4.0))
7.0ms	(-.f64 (/.f64 x y) (/.f64 z y))

simplify54.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4952	793
1	4952	793

prune75.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y))
0.0b	(-.f64 (+.f64 x (*.f64 y 0.75)) z)
0.0b	(+.f64 x (*.f64 y 0.75))
0.1b	(/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y)

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate--l+_binary64`

Counts

4 → 61

Calls

4 calls:

9.0ms	(/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y)
7.0ms	(+.f64 1.0 (/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y))
6.0ms	(-.f64 (+.f64 x (*.f64 y 0.75)) z)
3.0ms	(+.f64 x (*.f64 y 0.75))

series34.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y)
9.0ms	(+.f64 1.0 (/.f64 (.f64 4.0 (-.f64 (+.f64 x (.f64 y 0.75)) z)) y))
6.0ms	(-.f64 (+.f64 x (*.f64 y 0.75)) z)
5.0ms	(+.f64 x (*.f64 y 0.75))

simplify40.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5055	874

prune82.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Merged error: 0b

Counts

75 → 2

regimes205.0ms (10.5%)

Accuracy

Total 0.0b remaining (67.6%)

Threshold costs 0.0b (67.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms (0%)

sample510.0ms (26.1%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	80	valid
34.0ms	877×	body	80	invalid

Details

analyze352.0ms (18%)

sample20.0ms (1%)

simplify61.0ms (3.1%)

prune13.0ms (0.7%)

localize8.0ms (0.4%)

rewrite21.0ms (1.1%)

series25.0ms (1.3%)

simplify56.0ms (2.8%)

prune86.0ms (4.4%)

localize6.0ms (0.3%)

rewrite22.0ms (1.1%)

series29.0ms (1.5%)

simplify43.0ms (2.2%)

prune103.0ms (5.3%)

localize7.0ms (0.4%)

rewrite36.0ms (1.8%)

series27.0ms (1.4%)

simplify54.0ms (2.8%)

prune75.0ms (3.9%)

localize9.0ms (0.4%)

rewrite26.0ms (1.3%)

series34.0ms (1.8%)

simplify40.0ms (2%)

prune82.0ms (4.2%)

regimes205.0ms (10.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample510.0ms (26.1%)

Profiling