Details

Time bar (total: 9.0s)

sample102.0ms

Algorithm
intervals
Results
18.0ms305×body80nan
17.0ms49×body1280valid
10.0ms184×body80valid
9.0ms36×body640valid
6.0ms9×body2560valid
3.0ms15×body320valid
1.0ms4×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize21.0ms

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))))
22.3b
(cos (- y (/ (* z t) 3.0)))

rewrite66.0ms

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:
10.0ms
(/ (* z t) 3.0)
11.0ms
(/ a (* b 3.0))
28.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms
(cos (- y (/ (* z t) 3.0)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
284.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
31.0ms
(cos (- y (/ (* z t) 3.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0404507
11689429
25001426

prune322.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.0b
(cos (/ (* z t) 3.0))
27.0b
(sin (/ (* z t) 3.0))

rewrite88.0ms

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:
39.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
40.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series211.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
84.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
14.0ms
(sin (/ (* z t) 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351704
11500545
25001540

prune370.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 15.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.9b
(cos (* 0.3333333333333333 (* t z)))
27.0b
(sin (/ (* z t) 3.0))

rewrite155.0ms

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:
88.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
43.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(sin (/ (* z t) 3.0))

series211.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
84.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
12.0ms
(cos (* 0.3333333333333333 (* t z)))
15.0ms
(sin (/ (* z t) 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0355704
11526545
25001540

prune377.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
3.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.6b
(sin (* 0.3333333333333333 (* t z)))
26.9b
(cos (* 0.3333333333333333 (* t z)))

rewrite200.0ms

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:
77.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
84.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms
(sin (* 0.3333333333333333 (* t z)))
20.0ms
(cos (* 0.3333333333333333 (* t z)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
85.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
14.0ms
(sin (* 0.3333333333333333 (* t z)))
9.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0341704
11502545
25001540

prune270.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.4b

regimes2.7s

Accuracy

51.3% (1.9b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.3b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05638
15838
25838

end0.0ms

sample3.0s

Algorithm
intervals
Results
564.0ms9031×body80nan
561.0ms1533×body1280valid
336.0ms5669×body80valid
239.0ms380×body2560valid
234.0ms920×body640valid
81.0ms442×body320valid
28.0ms215×body160valid