Details

sample185.0ms

Algorithm

intervals

Results

74.0ms	60×	body	2560	valid
58.0ms	79×	body	1280	valid
13.0ms	30×	body	640	valid
7.0ms	67×	body	80	valid
3.0ms	11×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize26.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
3.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite42.0ms

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:

17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
20.0ms	(* (* (+ (* 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))

series189.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
48.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

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

prune469.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.1b

localize19.0ms

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)))
1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite35.0ms

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)
4.0ms	(* 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))

series213.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* y 2.0) 1.0) z)
79.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune455.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 38.4b

localize3.0ms

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

prune137.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 38.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.9b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
1.4b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
33.8b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite139.0ms

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)
104.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
30.0ms	(* (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))

series561.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt t)
85.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
196.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
67.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (56.0ms)

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

prune326.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 38.1b

regimes2.9s

Accuracy

0% (4.7b remaining)

Error of 44.2b against oracle of 39.5b and baseline of 44.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	0
1	8	0

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	1857×	body	2560	valid
1.4s	2246×	body	1280	valid
461.0ms	1139×	body	640	valid
181.0ms	1919×	body	80	valid
172.0ms	580×	body	320	valid
100.0ms	38×	body	5120	valid
43.0ms	221×	body	160	valid