Details

analyze1.3s (36.7%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample31.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
3.0ms	58×	body	80	invalid

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune11.0ms (0.3%)

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
0.2b	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64` `associate-+r+_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate--l+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

20.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
13.0ms	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

series22.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
6.0ms	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5413	932

prune114.0ms (3.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
0.0b	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
0.2b	(/.f64 (/.f64 2.0 t) z)

rewrite75.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
13×	`associate-/l*_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out_binary64`
5×	`div-inv_binary64` `sum-log_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

3 → 105

Calls

3 calls:

38.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
26.0ms	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
6.0ms	(/.f64 (/.f64 2.0 t) z)

series27.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
7.0ms	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
4.0ms	(/.f64 (/.f64 2.0 t) z)

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4987	1493
1	4987	1493

prune160.0ms (4.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z))) 2.0))
0.0b	(+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z)))
0.5b	(/.f64 2.0 (*.f64 t z))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

19.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z))) 2.0))
9.0ms	(+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z)))
5.0ms	(/.f64 2.0 (*.f64 t z))

series27.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z))) 2.0))
7.0ms	(+.f64 (/.f64 2.0 t) (/.f64 2.0 (*.f64 t z)))
4.0ms	(/.f64 2.0 (*.f64 t z))

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	860
1	4974	860

prune94.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series77.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune100.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes330.0ms (9.4%)

Accuracy

Total 0.1b remaining (74.9%)

Threshold costs 0.1b (74.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	15
1	23	15

end0.0ms (0%)

sample789.0ms (22.5%)

Algorithm

1×

intervals

Results

407.0ms	8000×	body	80	valid
113.0ms	2271×	body	80	invalid

Details

analyze1.3s (36.7%)

sample31.0ms (0.9%)

simplify61.0ms (1.7%)

prune11.0ms (0.3%)

localize10.0ms (0.3%)

rewrite35.0ms (1%)

series22.0ms (0.6%)

simplify25.0ms (0.7%)

prune114.0ms (3.3%)

localize12.0ms (0.3%)

rewrite75.0ms (2.1%)

series27.0ms (0.8%)

simplify46.0ms (1.3%)

prune160.0ms (4.6%)

localize13.0ms (0.4%)

rewrite35.0ms (1%)

series27.0ms (0.8%)

simplify52.0ms (1.5%)

prune94.0ms (2.7%)

localize14.0ms (0.4%)

rewrite14.0ms (0.4%)

series77.0ms (2.2%)

simplify49.0ms (1.4%)

prune100.0ms (2.9%)

regimes330.0ms (9.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample789.0ms (22.5%)

Profiling