Details

sample187.0ms

Algorithm

intervals

Results

78.0ms	63×	body	2560	valid
53.0ms	79×	body	1280	valid
14.0ms	33×	body	640	valid
7.0ms	56×	body	80	valid
5.0ms	15×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify88.0ms

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: 47.7b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite38.0ms

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:

18.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* 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:

41.0ms	(* (* (+ (* 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))

simplify58.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

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

prune423.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.3b

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)))
1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.5b	(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:

10.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
18.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* y 2.0) 1.0) z)
66.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

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

prune381.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 40.7b

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

prune109.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 40.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0)))
1.6b	(* (* t z) (fma 2.0 y 1.0))
34.4b	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

3.0ms	(* x (cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0)))
6.0ms	(* (* t z) (fma 2.0 y 1.0))
3.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* x (cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0)))
51.0ms	(* (* t z) (fma 2.0 y 1.0))
27.0ms	(cos (/ (pow (* (* t z) (fma 2.0 y 1.0)) 1) 16.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	225	427
1	1058	357
2	5001	357

prune191.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.5b

regimes1.8s

Accuracy

0% (4.6b remaining)

Error of 44.4b against oracle of 39.8b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	0
1	8	0

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	1880×	body	2560	valid
1.5s	2246×	body	1280	valid
526.0ms	1177×	body	640	valid
247.0ms	1886×	body	80	valid
179.0ms	533×	body	320	valid
81.0ms	31×	body	5120	valid
60.0ms	247×	body	160	valid