Details

sample165.0ms

Algorithm

intervals

Results

66.0ms	57×	body	2560	valid
49.0ms	80×	body	1280	valid
11.0ms	29×	body	640	valid
6.0ms	68×	body	80	valid
5.0ms	2×	body	5120	valid
4.0ms	16×	body	320	valid
1.0ms	4×	body	160	valid

simplify98.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
3.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

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:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (49.0ms)

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

prune447.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 40.4b

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)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

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:

7.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ (* y 2.0) 1.0) z)
72.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

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

prune486.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune157.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
1.1b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
2.2b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
34.5b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
29×	`add-exp-log`
23×	`add-sqr-sqrt`
19×	`cbrt-prod` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`associate-l`
6×	`pow1/3` `swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
13.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
10.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
3.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series553.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt t) (cbrt t))
85.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
191.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
65.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	369	880
1	1715	729
2	5002	645

prune424.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 38.7b

regimes2.9s

Accuracy

0% (4.6b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	1822×	body	2560	valid
1.4s	2284×	body	1280	valid
449.0ms	1142×	body	640	valid
168.0ms	569×	body	320	valid
165.0ms	1883×	body	80	valid
112.0ms	45×	body	5120	valid
51.0ms	255×	body	160	valid