Details

sample173.0ms

Algorithm

intervals

Results

68.0ms	56×	body	2560	valid
43.0ms	69×	body	1280	valid
20.0ms	48×	body	640	valid
8.0ms	3×	body	5120	valid
6.0ms	58×	body	80	valid
5.0ms	17×	body	320	valid
1.0ms	5×	body	160	valid

simplify93.0ms

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: 46.6b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.4b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite41.0ms

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)
17.0ms	(* (* (+ (* 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))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

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

prune396.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.8b

localize16.0ms

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)))
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
33.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite37.0ms

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)))
20.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* y 2.0) 1.0) z)
88.0ms	(* 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))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

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

prune430.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.4b

localize5.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune124.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.9b	(* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t)
33.7b	(cos (/ (* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t) 16.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt z)
125.0ms	(* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t)
2.0ms	(cos (/ (* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t) 16.0))

series484.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt z)
175.0ms	(cbrt z)
70.0ms	(* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t)
53.0ms	(cos (/ (* (* (* (* (fma y 2.0 1.0) (cbrt z)) (cbrt z)) (cbrt z)) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	253	517
1	1168	417
2	5001	370

prune285.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.2b

regimes2.4s

Accuracy

0% (4.6b remaining)

Error of 44.0b against oracle of 39.4b and baseline of 44.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.2s	1772×	body	2560	valid
1.4s	2248×	body	1280	valid
500.0ms	1202×	body	640	valid
177.0ms	1939×	body	80	valid
161.0ms	545×	body	320	valid
109.0ms	43×	body	5120	valid
48.0ms	251×	body	160	valid