Details

Time bar (total: 10.2s)

sample167.0ms

Algorithm
intervals
Results
67.0ms61×body2560valid
50.0ms83×body1280valid
12.0ms29×body640valid
9.0ms55×body80valid
5.0ms18×body320valid
2.0ms1×body5120valid
2.0ms9×body160valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
110314
223414
345014
480014
5113614
6137614
7148214
8167614
9171214
10171214

prune5.0ms

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

localize47.0ms

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))

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))

series154.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0387460
11897378
25001372

prune399.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New532174
Fresh000
Picked101
Done000
Total542175

Merged error: 42.8b

Counts
75 → 21

localize15.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u 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 → 78
Calls
4 calls:
4.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
10.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
9.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series188.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
46.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0395644
12071528
25001523

prune421.0ms

Filtered
90 candidates to 68 candidates (75.6%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New721890
Fresh61420
Picked101
Done000
Total7932111

Merged error: 41.0b

Counts
111 → 32

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune110.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 41.0b

Counts
32 → 32

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.7b
(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
2.3b
(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
38.4b
(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×cbrt-prod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×*-commutative
1×pow1/3
Counts
4 → 74
Calls
4 calls:
1.0ms
(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))

series473.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
73.0ms
(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
168.0ms
(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
52.0ms
(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0335734
11521569
25001510

prune460.0ms

Filtered
86 candidates to 61 candidates (70.9%)
Pruning

45 alts after pruning (44 fresh and 1 done)

PrunedKeptTotal
New701686
Fresh22830
Picked101
Done011
Total7345118

Merged error: 40.7b

Counts
118 → 45

regimes2.5s

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)

IterNodesCost
080
180

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.0s1762×body2560valid
1.4s2317×body1280valid
485.0ms1181×body640valid
170.0ms1874×body80valid
162.0ms564×body320valid
133.0ms50×body5120valid
48.0ms252×body160valid