Details

Time bar (total: 9.9s)

sample137.0ms

Algorithm
intervals
Results
27.0ms58×body1280valid
23.0ms312×body80nan
15.0ms192×body80valid
11.0ms14×body2560valid
7.0ms13×body320valid
6.0ms20×body640valid
1.0msbody160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
23.9b
(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
cos-diff associate-*r* pow-prod-down
cos-sum frac-2neg clear-num div-inv
distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ (* z t) 3.0)
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ a (* b 3.0))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* z t) 3.0)
31.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ a (* b 3.0))
10.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25001432

prune239.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New671784
Fresh000
Picked101
Done000
Total681785

Merged error: 16.5b

Counts
85 → 17

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.4b
(cos (/ (* z t) 3.0))
27.8b
(sin (/ (* z t) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r/ associate-*r* associate-*l* *-commutative
cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
10.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series69.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
29.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383704
11621550
25002550

prune248.0ms

Filtered
46 candidates to 72 candidates (-56.5%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New621072
Fresh21416
Picked101
Done000
Total652489

Merged error: 16.4b

Counts
89 → 24

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 0.3333333333333333 (* t z))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.8b
(sin (/ (* z t) 3.0))
27.9b
(cos (* 0.3333333333333333 (* t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* add-log-exp
associate-*r* *-commutative
associate-*r/ sin-mult
Counts
4 → 55
Calls
4 calls:
5.0ms
(* 0.3333333333333333 (* t z))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
3.0ms
(cos (* 0.3333333333333333 (* t z)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (* t z))
31.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))
3.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301467
11158368
25002368

prune266.0ms

Filtered
41 candidates to 67 candidates (-63.4%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh22123
Picked101
Done000
Total632891

Merged error: 16.2b

Counts
91 → 28

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 0.3333333333333333 (* t z))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
27.9b
(cos (* 0.3333333333333333 (* t z)))
28.0b
(sin (* 0.3333333333333333 (* t z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* add-log-exp
associate-*r* *-commutative
associate-*r/ sin-mult
Counts
4 → 55
Calls
4 calls:
5.0ms
(* 0.3333333333333333 (* t z))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (* 0.3333333333333333 (* t z)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 0.3333333333333333 (* t z))
30.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0294467
11155368
25001368

prune98.0ms

Filtered
41 candidates to 67 candidates (-63.4%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New64367
Fresh22527
Picked101
Done000
Total672895

Merged error: 16.2b

Counts
95 → 28

regimes4.5s

Accuracy

58.5% (1.7b remaining)

Error of 18.1b against oracle of 16.4b and baseline of 20.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05738
15938
25938

end0.0ms

sample3.8s

Algorithm
intervals
Results
742.0ms1557×body1280valid
693.0ms9215×body80nan
428.0ms5663×body80valid
312.0ms941×body640valid
290.0ms376×body2560valid
98.0ms400×body320valid
36.0ms212×body160valid

Profiling

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