Details

sample146.0ms

Algorithm

intervals

Results

53.0ms	49×	body	2560	valid
42.0ms	73×	body	1280	valid
15.0ms	42×	body	640	valid
6.0ms	69×	body	80	valid
4.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify84.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize29.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite95.0ms

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:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

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

prune382.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 39.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
33.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
52.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	379	619
1	2014	501
2	5001	501

prune356.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 37.8b

localize5.0ms

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

prune127.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 37.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
0.2b	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
1.7b	(* (+ (* y 2.0) 1.0) (* z t))
33.4b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

9.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
29.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
40.0ms	(* (+ (* y 2.0) 1.0) (* z t))
4.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
52.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
44.0ms	(* (+ (* y 2.0) 1.0) (* z t))
43.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	371	621
1	1683	503
2	5002	499

prune221.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 37.7b

regimes2.0s

Accuracy

0% (4.4b remaining)

Error of 44.5b against oracle of 40.1b and baseline of 44.5b

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

1.9s	1813×	body	2560	valid
1.3s	2312×	body	1280	valid
457.0ms	1216×	body	640	valid
145.0ms	1842×	body	80	valid
132.0ms	525×	body	320	valid
100.0ms	40×	body	5120	valid
47.0ms	252×	body	160	valid