Details

sample154.0ms

Algorithm

intervals

Results

61.0ms	58×	body	2560	valid
43.0ms	78×	body	1280	valid
14.0ms	29×	body	640	valid
6.0ms	71×	body	80	valid
4.0ms	15×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	4×	body	160	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite93.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series143.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune420.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 39.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`prod-exp`
6×	`associate-r` `pow-prod-down` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 52

Calls

3 calls:

18.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
38.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	298	466
1	1213	381
2	5001	374

prune307.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 38.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune125.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 38.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.7b	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
2.4b	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
35.2b	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
175.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
56.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
4.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series472.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt t)
65.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
168.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
54.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	337	734
1	1533	569
2	5001	520

prune298.0ms

Pruning

47 alts after pruning (46 fresh and 1 done)

Merged error: 37.5b

regimes2.8s

Accuracy

0% (4.6b remaining)

Error of 44.1b against oracle of 39.5b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1843×	body	2560	valid
1.3s	2250×	body	1280	valid
416.0ms	1160×	body	640	valid
156.0ms	1923×	body	80	valid
139.0ms	552×	body	320	valid
100.0ms	41×	body	5120	valid
39.0ms	231×	body	160	valid