Details

analyze1.1s (11.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample88.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	46×	body	1280	valid
13.0ms	136×	body	80	valid
11.0ms	34×	body	640	valid
9.0ms	13×	body	2560	valid
5.0ms	68×	body	80	nan
5.0ms	20×	body	320	valid
3.0ms	33×	body	80	invalid
1.0ms	7×	body	160	valid

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune16.0ms (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: 21.7b

Counts

2 → 2

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.6b	(cos (- y (/ (* z t) 3.0)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `cos-sum` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 71

Calls

4 calls:

6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms	(/ a (* b 3.0))
5.0ms	(cos (- y (/ (* z t) 3.0)))
4.0ms	(/ (* z t) 3.0)

series47.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
11.0ms	(cos (- y (/ (* z t) 3.0)))
3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune275.0ms (3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	66	17	83
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	17	85

Merged error: 16.8b

Counts

85 → 17

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x))))
1.0b	(* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x)))
30.5b	(cos (* t (/ z 3.0)))
30.6b	(sin (* t (/ z 3.0)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

9.0ms	(* (sin y) (* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x))))
6.0ms	(* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x)))
2.0ms	(sin (* t (/ z 3.0)))
2.0ms	(cos (* t (/ z 3.0)))

series64.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sin y) (* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x))))
18.0ms	(* (sin (* t (/ z 3.0))) (* 2.0 (sqrt x)))
4.0ms	(sin (* t (/ z 3.0)))
3.0ms	(cos (* t (/ z 3.0)))

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4977	767
1	4977	767

prune303.0ms (3.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	59	23	82

Merged error: 16.7b

Counts

82 → 23

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
1.1b	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
30.4b	(sin (* t (* z 0.3333333333333333)))
30.5b	(cos (* t (/ z 3.0)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

9.0ms	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
7.0ms	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
2.0ms	(sin (* t (* z 0.3333333333333333)))
2.0ms	(cos (* t (/ z 3.0)))

series64.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
18.0ms	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
4.0ms	(sin (* t (* z 0.3333333333333333)))
4.0ms	(cos (* t (/ z 3.0)))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	767
1	4972	767

prune284.0ms (3.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	66	22	88

Merged error: 16.7b

Counts

88 → 22

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
1.1b	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
30.3b	(cos (* t (* z 0.3333333333333333)))
30.4b	(sin (* t (* z 0.3333333333333333)))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

9.0ms	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
7.0ms	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
2.0ms	(sin (* t (* z 0.3333333333333333)))
2.0ms	(cos (* t (* z 0.3333333333333333)))

series62.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sin y) (* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x))))
20.0ms	(* (sin (* t (* z 0.3333333333333333))) (* 2.0 (sqrt x)))
4.0ms	(sin (* t (* z 0.3333333333333333)))
3.0ms	(cos (* t (* z 0.3333333333333333)))

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5023	767

prune170.0ms (1.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	65	22	87

Merged error: 16.7b

Counts

87 → 22

regimes3.4s (37.9%)

Accuracy

Total 1.5b remaining (8.3%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	93
1	79	93

end0.0ms (0%)

sample2.8s (31%)

Algorithm

1×

intervals

Results

756.0ms	1563×	body	1280	valid
349.0ms	4461×	body	80	valid
326.0ms	941×	body	640	valid
318.0ms	405×	body	2560	valid
304.0ms	439×	body	320	valid
176.0ms	2262×	body	80	nan
88.0ms	1130×	body	80	invalid
34.0ms	191×	body	160	valid

Details

analyze1.1s (11.7%)

sample88.0ms (1%)

simplify34.0ms (0.4%)

prune16.0ms (0.2%)

localize16.0ms (0.2%)

rewrite23.0ms (0.3%)

series47.0ms (0.5%)

simplify41.0ms (0.4%)

prune275.0ms (3%)

localize29.0ms (0.3%)

rewrite19.0ms (0.2%)

series64.0ms (0.7%)

simplify35.0ms (0.4%)

prune303.0ms (3.4%)

localize34.0ms (0.4%)

rewrite23.0ms (0.3%)

series64.0ms (0.7%)

simplify46.0ms (0.5%)

prune284.0ms (3.1%)

localize27.0ms (0.3%)

rewrite22.0ms (0.2%)

series62.0ms (0.7%)

simplify35.0ms (0.4%)

prune170.0ms (1.9%)

regimes3.4s (37.9%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (31%)

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