Details

Time bar (total: 17.3s)

sample150.0ms

Algorithm
intervals
Results
31.0ms258×body80nan
31.0ms46×body1280valid
19.0ms175×body80valid
17.0ms18×body2560valid
14.0ms31×body640valid
6.0ms19×body320valid
2.0ms7×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 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)))

rewrite25.0ms

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:
3.0ms
(/ (* z t) 3.0)
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ a (* b 3.0))
8.0ms
(cos (- y (/ (* z t) 3.0)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (* z t) 3.0)
32.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms
(/ a (* b 3.0))
11.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0404507
11689429
25001426

prune938.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.3b
(/ a (* b 3.0))
28.2b
(sin (- (/ (* z t) 3.0)))
28.8b
(cos (/ (* z t) 3.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp cos-mult sin-mult
1×neg-sub0 flip3-- frac-2neg associate-*l* sin-neg clear-num associate-/r* sin-diff *-commutative frac-sub flip-- div-inv sub-div
Counts
4 → 63
Calls
4 calls:
22.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms
(/ a (* b 3.0))
3.0ms
(sin (- (/ (* z t) 3.0)))
1.0ms
(cos (/ (* z t) 3.0))

series90.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms
(/ a (* b 3.0))
6.0ms
(sin (- (/ (* z t) 3.0)))
4.0ms
(cos (/ (* z t) 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0449815
11849679
25002665

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 17.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
28.3b
(sin (- (* 0.3333333333333333 (* t z))))
28.8b
(cos (/ (* z t) 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×add-log-exp
3×times-frac associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp sin-neg cbrt-unprod
1×neg-sub0 frac-2neg pow-prod-down clear-num associate-/r* sin-diff *-commutative distribute-rgt-neg-out div-inv sin-mult unswap-sqr
Counts
4 → 57
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
9.0ms
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
1.0ms
(cos (/ (* z t) 3.0))

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
18.0ms
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
6.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(cos (/ (* z t) 3.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219387
1731329
22554329
35001329

prune1.3s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.8b

localize34.0ms

Local error

Found 4 expressions with local error:

28.3b
(sin (- (* 0.3333333333333333 (* t z))))
28.3b
(sin (- (* 0.3333333333333333 (* t z))))
28.3b
(sin (- (* 0.3333333333333333 (* t z))))
28.8b
(cos (/ (* z t) 3.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×neg-sub0 sin-neg sin-diff
Counts
4 → 34
Calls
4 calls:
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
1.0ms
(cos (/ (* z t) 3.0))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sin (- (* 0.3333333333333333 (* t z))))
6.0ms
(sin (- (* 0.3333333333333333 (* t z))))
6.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(cos (/ (* z t) 3.0))

simplify259.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
053247
1115210
2231210
3462210
42521210
55001210

prune832.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 17.7b

regimes7.6s

Accuracy

58.9% (1.6b remaining)

Error of 18.0b against oracle of 16.4b and baseline of 20.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05844
17344
27344

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.0s9099×body80nan
1.0s1615×body1280valid
618.0ms5594×body80valid
433.0ms931×body640valid
389.0ms392×body2560valid
131.0ms383×body320valid
49.0ms207×body160valid