Details

sample229.0ms

Algorithm

intervals

Results

82.0ms	49×	body	2560	valid
60.0ms	61×	body	1280	valid
31.0ms	45×	body	640	valid
18.0ms	74×	body	80	valid
8.0ms	16×	body	320	valid
4.0ms	11×	body	160	valid

simplify118.0ms

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: 42.6b

localize26.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite45.0ms

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:

22.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
18.0ms	(* (* (+ (* y 2.0) 1.0) z) 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))

series178.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

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

prune721.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 37.8b

localize15.0ms

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)))
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite41.0ms

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:

12.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
21.0ms	(* (* (+ (* 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:

45.0ms	(* (+ (* y 2.0) 1.0) z)
78.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

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

prune438.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 36.5b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune125.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 36.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
1.3b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
32.5b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite150.0ms

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)
112.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
33.0ms	(* (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))

series548.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt t)
82.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
197.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
69.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (62.0ms)

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

prune338.0ms

Pruning

44 alts after pruning (43 fresh and 1 done)

Merged error: 36.3b

regimes2.7s

Accuracy

0% (4.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	0
1	8	0

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.8s	1783×	body	2560	valid
2.2s	2251×	body	1280	valid
870.0ms	1209×	body	640	valid
366.0ms	1913×	body	80	valid
280.0ms	521×	body	320	valid
143.0ms	46×	body	5120	valid
101.0ms	277×	body	160	valid