Details

sample202.0ms

Algorithm

intervals

Results

65.0ms	48×	body	2560	valid
63.0ms	80×	body	1280	valid
24.0ms	36×	body	640	valid
9.0ms	65×	body	80	valid
7.0ms	14×	body	320	valid
6.0ms	2×	body	5120	valid
3.0ms	11×	body	160	valid

simplify100.0ms

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: 45.3b

localize24.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (+ (* y 2.0) 1.0) z) t)
2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite40.0ms

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:

19.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (50.0ms)

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

prune447.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 40.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.3b	(* (* (+ (* y 2.0) 1.0) z) t)
34.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite34.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* y 2.0) 1.0) z)
72.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune403.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 38.8b

localize2.0ms

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

prune116.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 38.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.9b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
2.1b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
34.9b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite131.0ms

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)
99.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
27.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
2.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series503.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
76.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
185.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
63.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	335	734
1	1521	569
2	5001	510

prune307.0ms

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 38.6b

regimes2.8s

Accuracy

0% (4.6b remaining)

Error of 44.1b against oracle of 39.4b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	1829×	body	2560	valid
1.8s	2261×	body	1280	valid
672.0ms	1166×	body	640	valid
285.0ms	1918×	body	80	valid
234.0ms	536×	body	320	valid
114.0ms	40×	body	5120	valid
73.0ms	250×	body	160	valid