Details

analyze652.0ms (22.3%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

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: 5.9b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.6b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

7.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series40.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
13.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
9.0ms	(*.f64 y (-.f64 z x))

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5612	574

prune88.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 y (-.f64 z x)))))
0.4b	(/.f64 1 (/.f64 t (*.f64 y (-.f64 z x))))
6.5b	(/.f64 t (*.f64 y (-.f64 z x)))

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64`
32×	`add-exp-log_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`associate-r_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 y (-.f64 z x)))))
10.0ms	(/.f64 1 (/.f64 t (*.f64 y (-.f64 z x))))
8.0ms	(/.f64 t (*.f64 y (-.f64 z x)))
7.0ms	(*.f64 y (-.f64 z x))

series54.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 t (*.f64 y (-.f64 z x))))
13.0ms	(/.f64 t (*.f64 y (-.f64 z x)))
13.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 y (-.f64 z x)))))
12.0ms	(*.f64 y (-.f64 z x))

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4994	1340
1	4994	1340

prune142.0ms (4.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0.0b

Counts

142 → 7

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
0.4b	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))
7.7b	(/.f64 (/.f64 t y) (-.f64 z x))

rewrite121.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

772×	`times-frac_binary64`
462×	`*-un-lft-identity_binary64`
459×	`add-sqr-sqrt_binary64`
327×	`add-cube-cbrt_binary64`
76×	`associate-/r*_binary64`
66×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
33×	`div-inv_binary64`
29×	`add-exp-log_binary64`
18×	`div-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 425

Calls

3 calls:

57.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
20.0ms	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))
12.0ms	(/.f64 (/.f64 t y) (-.f64 z x))

series48.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))
13.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
13.0ms	(/.f64 (/.f64 t y) (-.f64 z x))

simplify93.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4988	6973
1	4988	6973

prune421.0ms (14.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	436	5	441

Merged error: 0.0b

Counts

441 → 5

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
7.7b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

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

series28.0ms (1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
13.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

simplify35.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4990	583
1	4990	583

prune54.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

regimes310.0ms (10.6%)

Accuracy

Total 0.8b remaining (98.6%)

Threshold costs 0.8b (98.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	53
1	37	53

end0.0ms (0%)

sample563.0ms (19.3%)

Algorithm

1×

intervals

Results

254.0ms	8000×	body	80	valid
62.0ms	1998×	body	80	invalid

Details

analyze652.0ms (22.3%)

sample21.0ms (0.7%)

simplify43.0ms (1.5%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite22.0ms (0.7%)

series40.0ms (1.4%)

simplify43.0ms (1.5%)

prune88.0ms (3%)

localize10.0ms (0.4%)

rewrite41.0ms (1.4%)

series54.0ms (1.8%)

simplify46.0ms (1.6%)

prune142.0ms (4.9%)

localize8.0ms (0.3%)

rewrite121.0ms (4.1%)

series48.0ms (1.6%)

simplify93.0ms (3.2%)

prune421.0ms (14.4%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series28.0ms (1%)

simplify35.0ms (1.2%)

prune54.0ms (1.8%)

regimes310.0ms (10.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample563.0ms (19.3%)

Profiling