Details

analyze21.0ms (1.6%)

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample19.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

simplify62.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5027	19

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.9b

Counts

2 → 1

localize12.0ms (0.9%)

Local error

Found 2 expressions with local error:

2.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
28.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

rewrite15.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 43

Calls

2 calls:

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

series24.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))
9.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))

simplify35.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5551	1035

prune70.0ms (5.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.3b

Counts

50 → 4

localize11.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

2.3b

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

28.3b

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

rewrite27.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
16×	`log-pow_binary64`
15×	`exp-prod_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `div-sub_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `log-div_binary64`

Counts

3 → 71

Calls

3 calls:

10.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

10.0ms

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

5.0ms

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

series38.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

15.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

15.0ms

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

9.0ms

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

simplify56.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4932	1656
1	4932	1656

prune102.0ms (7.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.3b

Counts

84 → 4

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.3b

Counts

4 → 4

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.3b

Counts

4 → 4

regimes283.0ms (21.4%)

Accuracy

Total 12.5b remaining (97.4%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	75
1	64	75

end0.0ms (0%)

sample524.0ms (39.7%)

Algorithm

1×

intervals

Results

387.0ms

8000×

body

valid

Details

analyze21.0ms (1.6%)

sample19.0ms (1.4%)

simplify62.0ms (4.7%)

prune5.0ms (0.4%)

localize12.0ms (0.9%)

rewrite15.0ms (1.1%)

series24.0ms (1.8%)

simplify35.0ms (2.7%)

prune70.0ms (5.3%)

localize11.0ms (0.8%)

rewrite27.0ms (2%)

series38.0ms (2.9%)

simplify56.0ms (4.3%)

prune102.0ms (7.8%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0.3%)

prune2.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify4.0ms (0.3%)

prune0.0ms (0%)

regimes283.0ms (21.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample524.0ms (39.7%)

Profiling