Details

Time bar (total: 8.3s)

sample97.0ms

Algorithm
intervals
Results
19.0ms48×body1280valid
17.0ms301×body80nan
11.0ms17×body2560valid
11.0ms176×body80valid
6.0ms23×body640valid
2.0ms10×body320valid
2.0ms10×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize22.0ms

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))))
24.3b
(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

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)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
22.0ms
(/ a (* b 3.0))
98.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms
(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0404507
11689429
25001426

prune347.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b
(cos (/ (* z t) 3.0))
29.1b
(sin (/ (* z t) 3.0))

rewrite23.0ms

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 (/ (* z t) 3.0))))
9.0ms
(* (* 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))

series240.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
98.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
13.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0351704
11500545
25001540

prune391.0ms

Filtered
72 candidates to 44 candidates (61.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 15.4b

localize35.0ms

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 (/ (* z t) 3.0))))
28.9b
(cos (* 0.3333333333333333 (* t z)))
29.1b
(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
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:
9.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series234.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0355704
11526545
25001540

prune400.0ms

Filtered
72 candidates to 42 candidates (58.3%)
Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.2b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.7b
(sin (* 0.3333333333333333 (* t z)))
28.9b
(cos (* 0.3333333333333333 (* t z)))

rewrite27.0ms

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:
10.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(sin (* 0.3333333333333333 (* t z)))
3.0ms
(cos (* 0.3333333333333333 (* t z)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
96.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms
(sin (* 0.3333333333333333 (* t z)))
11.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0341704
11502545
25001540

prune268.0ms

Filtered
72 candidates to 42 candidates (58.3%)
Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.4b

regimes2.4s

Accuracy

64.3% (1.4b remaining)

Error of 17.8b against oracle of 16.4b and baseline of 20.2b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05644
15844
25844

end0.0ms

sample3.1s

Algorithm
intervals
Results
844.0ms1607×body1280valid
538.0ms8986×body80nan
344.0ms5557×body80valid
254.0ms371×body2560valid
250.0ms931×body640valid
90.0ms426×body320valid
28.0ms200×body160valid