Details

sample183.0ms

Algorithm

intervals

Results

61.0ms	54×	body	2560	valid
49.0ms	80×	body	1280	valid
21.0ms	37×	body	640	valid
6.0ms	2×	body	5120	valid
5.0ms	18×	body	320	valid
5.0ms	55×	body	80	valid
2.0ms	10×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 47.2b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (+ (* y 2.0) 1.0) z) t)
3.1b	(* (* (+ (* a 2.0) 1.0) b) t)
34.4b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

7.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune505.0ms

Filtered

66 candidates to 50 candidates (24.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	48	18	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	18	67

Merged error: 42.7b

Counts

67 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.1b	(* (* (+ (* y 2.0) 1.0) z) t)
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series211.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* y 2.0) 1.0) z)
75.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune636.0ms

Filtered

77 candidates to 54 candidates (29.9%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	57	20	77
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	62	33	95

Merged error: 41.2b

Counts

95 → 33

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune411.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	32	32
Picked	1	1
Done	0	0
Total	33	33

Merged error: 41.2b

Counts

33 → 33

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
4.4b	(* (+ (* y 2.0) 1.0) (* z t))
35.1b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

3.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
7.0ms	(* (+ (* y 2.0) 1.0) (* z t))
3.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
49.0ms	(* (+ (* y 2.0) 1.0) (* z t))
36.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	244	417
1	992	343
2	3799	343
3	5001	343

prune182.0ms

Filtered

54 candidates to 38 candidates (29.6%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	5	26	31
Picked	1	0	1
Done	0	1	1
Total	54	33	87

Merged error: 41.1b

Counts

87 → 33

regimes3.7s

Accuracy

0% (5.1b remaining)

Error of 45.0b against oracle of 39.9b and baseline of 45.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	20
1	30	20
2	30	20

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	1759×	body	2560	valid
1.5s	2277×	body	1280	valid
490.0ms	1172×	body	640	valid
183.0ms	1923×	body	80	valid
179.0ms	575×	body	320	valid
103.0ms	41×	body	5120	valid
55.0ms	253×	body	160	valid

Details

sample183.0ms

simplify86.0ms

prune7.0ms

localize28.0ms

rewrite22.0ms

series174.0ms

simplify49.0ms

prune505.0ms

localize14.0ms

rewrite22.0ms

series211.0ms

simplify41.0ms

prune636.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune411.0ms

localize13.0ms

rewrite14.0ms

series159.0ms

simplify97.0ms

prune182.0ms

regimes3.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.0s

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