Details

sample167.0ms

Algorithm

intervals

Results

71.0ms	64×	body	2560	valid
47.0ms	74×	body	1280	valid
17.0ms	32×	body	640	valid
5.0ms	58×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.5b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
1.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
1.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune380.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 41.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

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×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

10.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* y 2.0) 1.0) z)
62.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune327.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 40.2b

localize2.0ms

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

prune133.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 40.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3))
0.5b	(pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3)
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`associate-*l/` `add-log-exp`
3×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-l` `pow-exp` `*-commutative` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3))
1.0ms	(pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3)
17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3))
56.0ms	(pow (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) 3)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	284	702
1	1385	634
2	5001	628

prune207.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.2b

regimes2.2s

Accuracy

0% (4.2b remaining)

Error of 44.1b against oracle of 39.9b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.1s	1849×	body	2560	valid
1.4s	2255×	body	1280	valid
458.0ms	1152×	body	640	valid
180.0ms	1924×	body	80	valid
152.0ms	535×	body	320	valid
86.0ms	33×	body	5120	valid
47.0ms	252×	body	160	valid