Details

Time bar (total: 9.4s)

sample184.0ms

Algorithm
intervals
Results
34.0ms49×body1280valid
30.0ms283×body80nan
19.0ms171×body80valid
19.0ms31×body640valid
11.0ms11×body2560valid
5.0ms12×body320valid
2.0ms9×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.3b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.7b
(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

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

series49.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
30.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms
(cos (- y (/ (* z t) 3.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25001432

prune243.0ms

Filtered
84 candidates to 59 candidates (29.8%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New661884
Fresh000
Picked101
Done000
Total671885

Merged error: 14.1b

Counts
85 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
25.6b
(sin (/ (* z t) 3.0))
25.7b
(cos (/ (* z t) 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
11.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series58.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
47.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms
(sin (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0329482
11223383
25001383

prune240.0ms

Filtered
70 candidates to 49 candidates (30.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh31417
Picked101
Done000
Total662288

Merged error: 14.0b

Counts
88 → 22

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
25.7b
(cos (/ (* z t) 3.0))
25.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (* 0.3333333333333333 (* t z)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
28.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0326482
11226383
25001383

prune232.0ms

Filtered
70 candidates to 46 candidates (34.3%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh02121
Picked101
Done000
Total692392

Merged error: 13.9b

Counts
92 → 23

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
25.6b
(cos (* 0.3333333333333333 (* t z)))
25.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite24.0ms

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

series71.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
29.0ms
(* (* 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)))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0375704
11613550
25001550

prune295.0ms

Filtered
72 candidates to 43 candidates (40.3%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh22022
Picked101
Done000
Total692695

Merged error: 13.9b

Counts
95 → 26

regimes3.9s

Accuracy

55.9% (1.7b remaining)

Error of 17.5b against oracle of 15.8b and baseline of 19.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05535
15735
25735

end0.0ms

sample3.7s

Algorithm
intervals
Results
689.0ms1510×body1280valid
644.0ms9156×body80nan
423.0ms5629×body80valid
319.0ms984×body640valid
250.0ms338×body2560valid
102.0ms439×body320valid
32.0ms202×body160valid

Profiling

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