Details

Time bar (total: 10.5s)

sample179.0ms

Algorithm
intervals
Results
77.0ms64×body2560valid
48.0ms75×body1280valid
19.0ms44×body640valid
5.0ms15×body320valid
5.0ms50×body80valid
3.0ms1×body5120valid
1.0ms7×body160valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 49.4b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (+ (* a 2.0) 1.0) b) t)
3.9b
(* (* (+ (* y 2.0) 1.0) z) t)
36.6b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.1b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite21.0ms

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:
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms
(* (* (+ (* 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))

series44.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371438
11835354
25001354

prune277.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New462066
Fresh000
Picked101
Done000
Total472067

Merged error: 44.4b

Counts
67 → 20

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
3.1b
(* (* (+ (* a 2.0) 1.0) b) t)
38.1b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
6×associate-*r* pow-prod-down
4×add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ associate-*l* *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
11.0ms
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series53.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
10.0ms
(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0414640
11984510
25001510

prune367.0ms

Filtered
58 candidates to 83 candidates (-43.1%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New612283
Fresh61319
Picked101
Done000
Total6835103

Merged error: 42.7b

Counts
103 → 35

localize1.0ms

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

prune205.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03434
Picked011
Done000
Total03535

Merged error: 42.7b

Counts
35 → 35

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
1.7b
(* (+ (* a 2.0) 1.0) (* b t))
38.2b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
14×pow1
11×prod-exp
9×cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down
4×associate-*r* associate-*l* associate-*l/ add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg 1-exp clear-num div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
5.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
9.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
7.0ms
(* (+ (* a 2.0) 1.0) (* b t))
3.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series56.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
13.0ms
(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
9.0ms
(* (+ (* a 2.0) 1.0) (* b t))
12.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0406642
11813512
25002512

prune120.0ms

Filtered
57 candidates to 83 candidates (-45.6%)
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New731083
Fresh82533
Picked101
Done011
Total8236118

Merged error: 42.4b

Counts
118 → 36

regimes3.4s

Accuracy

0% (4.4b remaining)

Error of 44.9b against oracle of 40.5b and baseline of 44.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.2s1884×body2560valid
1.5s2230×body1280valid
541.0ms1200×body640valid
379.0ms1799×body80valid
191.0ms583×body320valid
122.0ms46×body5120valid
56.0ms258×body160valid

Profiling

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