Details

sample157.0ms

Algorithm

intervals

Results

65.0ms	60×	body	2560	valid
38.0ms	67×	body	1280	valid
14.0ms	39×	body	640	valid
7.0ms	58×	body	80	valid
6.0ms	22×	body	320	valid
5.0ms	2×	body	5120	valid
1.0ms	8×	body	160	valid

simplify88.0ms

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: 46.5b

localize28.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

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:

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

series162.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (13.0ms)

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

prune345.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 41.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite26.0ms

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	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
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))

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
67.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (11.0ms)

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

prune333.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.1b

localize4.0ms

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

prune111.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
2.4b	(* (+ (* y 2.0) 1.0) (* z t))
34.0b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite25.0ms

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	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
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))

series185.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
67.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
43.0ms	(* (+ (* y 2.0) 1.0) (* z t))
33.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (40.0ms)

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

prune209.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.9b

regimes1.9s

Accuracy

0% (4.4b remaining)

Error of 44.1b against oracle of 39.7b and baseline of 44.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	1
1	11	0
2	11	0

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1787×	body	2560	valid
1.4s	2265×	body	1280	valid
441.0ms	1141×	body	640	valid
167.0ms	1899×	body	80	valid
162.0ms	581×	body	320	valid
104.0ms	42×	body	5120	valid
56.0ms	285×	body	160	valid