Details

Time bar (total: 9.8s)

sample161.0ms

Algorithm
intervals
Results
69.0ms61×body2560valid
48.0ms83×body1280valid
11.0ms29×body640valid
5.0ms18×body320valid
5.0ms55×body80valid
3.0ms1×body5120valid
2.0ms9×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04214
19914
222214
340214
467614
592814
6111614
7120614
8136814
9138014
10138014

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.6b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (+ (* y 2.0) 1.0) z) t)
1.7b
(* (* (+ (* a 2.0) 1.0) b) t)
34.7b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.7b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite22.0ms

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:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series144.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune344.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New442266
Fresh000
Picked101
Done000
Total452267

Merged error: 42.8b

Counts
67 → 22

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
1.5b
(* (* (+ (* y 2.0) 1.0) z) t)
37.7b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*l/
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*l* pow-prod-down add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
3.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
11.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series178.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
38.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
32.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0379619
12014501
25001501

prune408.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New641882
Fresh71421
Picked101
Done000
Total7232104

Merged error: 41.1b

Counts
104 → 32

localize4.0ms

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)

IterNodesCost
000

prune103.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 41.1b

Counts
32 → 32

localize18.0ms

Local error

Found 4 expressions with local error:

18.1b
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
18.1b
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
18.1b
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.7b
(cos (* (* (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
Counts
4 → 55
Calls
4 calls:
6.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
6.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
6.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms
(cos (* (* (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
207.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
199.0ms
(cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
117.0ms
(cos (* (* (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))) (cbrt (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02551084
17711002
22961876
35001873

prune304.0ms

Filtered
67 candidates to 60 candidates (89.6%)
Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New531467
Fresh22830
Picked011
Done011
Total554499

Merged error: 40.9b

Counts
99 → 44

regimes2.5s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
091
1110
2110

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.9s1762×body2560valid
1.4s2317×body1280valid
443.0ms1181×body640valid
160.0ms1874×body80valid
152.0ms564×body320valid
127.0ms50×body5120valid
45.0ms252×body160valid