Details

sample102.0ms

Algorithm

intervals

Results

26.0ms	61×	body	1280	valid
18.0ms	308×	body	80	nan
11.0ms	174×	body	80	valid
8.0ms	30×	body	640	valid
8.0ms	12×	body	2560	valid
2.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 22.3b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
0.4b	(/ (* z t) 3.0)
25.1b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

Algorithm

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×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms	(/ a (* b 3.0))
5.0ms	(/ (* z t) 3.0)
8.0ms	(cos (- y (/ (* z t) 3.0)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
32.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune300.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	66	18	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	18	85

Merged error: 18.5b

Counts

85 → 18

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `-commutative` `div-inv` `sin-mult` `associate-/l*`

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
9.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series130.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
89.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	302	481
1	1291	380
2	5002	378

prune353.0ms

Filtered

70 candidates to 47 candidates (67.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	62	26	88

Merged error: 18.4b

Counts

88 → 26

localize36.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series55.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	190
1	52	162
2	63	162
3	72	162
4	100	162
5	174	162
6	693	162
7	2258	162
8	5001	162

prune327.0ms

Filtered

40 candidates to 36 candidates (90.0%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	3	22	25
Picked	1	0	1
Done	0	0	0
Total	40	26	66

Merged error: 18.4b

Counts

66 → 26

localize34.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series58.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	190
1	52	162
2	63	162
3	72	162
4	100	162
5	174	162
6	693	162
7	2258	162
8	5001	162

prune239.0ms

Filtered

40 candidates to 36 candidates (90.0%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	25	25
Picked	0	1	1
Done	0	0	0
Total	38	28	66

Merged error: 18.4b

Counts

66 → 28

regimes2.6s

Accuracy

61.5% (1.5b remaining)

Error of 18.5b against oracle of 17.0b and baseline of 20.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	46
1	60	46
2	60	46

end0.0ms

sample2.9s

Algorithm

intervals

Results

648.0ms	1561×	body	1280	valid
552.0ms	8964×	body	80	nan
358.0ms	5578×	body	80	valid
280.0ms	981×	body	640	valid
248.0ms	364×	body	2560	valid
85.0ms	423×	body	320	valid
34.0ms	199×	body	160	valid