Details

sample242.0ms

Algorithm

intervals

Results

95.0ms	61×	body	2560	valid
66.0ms	72×	body	1280	valid
22.0ms	35×	body	640	valid
13.0ms	4×	body	5120	valid
9.0ms	60×	body	80	valid
8.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify109.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.6b

localize26.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

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:

16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
16.0ms	(* (* (+ (* 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))

series51.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
16.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
14.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (54.0ms)

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

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
35.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ (* a 2.0) 1.0) b)
29.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
14.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	331	633
1	1459	498
2	5001	467

prune1.3s

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.8b

localize1.0ms

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

prune480.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
1.5b	(* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t)
36.1b	(cos (/ (* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t) 16.0))

rewrite115.0ms

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 b)
1.0ms	(cbrt b)
111.0ms	(* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t)
2.0ms	(cos (/ (* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t) 16.0))

series57.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt b)
10.0ms	(cbrt b)
17.0ms	(* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t)
19.0ms	(cos (/ (* (* (* (* (fma a 2.0 1.0) (cbrt b)) (cbrt b)) (cbrt b)) t) 16.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	253	517
1	1170	417
2	5001	370

prune789.0ms

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 39.7b

regimes8.0s

Accuracy

0% (4.5b remaining)

Error of 44.4b against oracle of 39.9b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.8s	1854×	body	2560	valid
2.1s	2274×	body	1280	valid
749.0ms	1144×	body	640	valid
283.0ms	1881×	body	80	valid
253.0ms	552×	body	320	valid
108.0ms	36×	body	5120	valid
80.0ms	259×	body	160	valid