Details

Time bar (total: 8.9s)

sample95.0ms

Algorithm
intervals
Results
21.0ms265×body80nan
19.0ms49×body1280valid
10.0ms171×body80valid
10.0ms15×body2560valid
7.0ms27×body640valid
2.0ms12×body320valid
1.0ms4×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.5b
(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

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)
3.0ms
(/ a (* b 3.0))
11.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms
(cos (- y (/ (* z t) 3.0)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
126.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0404507
11689429
25001426

prune339.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 17.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.2b
(* (sin y) (sin (- (/ (* z t) 3.0))))
28.3b
(cos (/ (* z t) 3.0))
28.6b
(sin (- (/ (* z t) 3.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×sin-mult
2×distribute-rgt-in sub-neg distribute-lft-in sin-neg cos-mult *-commutative
1×neg-sub0 flip3-- sin-diff distribute-rgt-neg-out frac-sub flip-- sub-div unswap-sqr
Counts
4 → 62
Calls
4 calls:
22.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
9.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
1.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (- (/ (* z t) 3.0)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
51.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
20.0ms
(sin (- (/ (* z t) 3.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0383900
11693768
25002754

prune453.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.3333333333333333 (* t z))
0.3b
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
28.3b
(cos (/ (* z t) 3.0))
28.9b
(sin (- (* 0.3333333333333333 (* t z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×sin-neg *-commutative
1×neg-sub0 sin-diff distribute-rgt-neg-out sin-mult unswap-sqr
Counts
4 → 54
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (* t z))
13.0ms
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 0.3333333333333333 (* t z))
57.0ms
(* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))
11.0ms
(cos (/ (* z t) 3.0))
21.0ms
(sin (- (* 0.3333333333333333 (* t z))))

simplify72.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0192372
1656314
22389314
35002314

prune430.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.0b

localize35.0ms

Local error

Found 4 expressions with local error:

28.3b
(cos (/ (* z t) 3.0))
28.9b
(sin (- (* 0.3333333333333333 (* t z))))
28.9b
(sin (- (* 0.3333333333333333 (* t z))))
28.9b
(sin (- (* 0.3333333333333333 (* t z))))

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:
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))
4.0ms
(sin (- (* 0.3333333333333333 (* t z))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cos (/ (* z t) 3.0))
21.0ms
(sin (- (* 0.3333333333333333 (* t z))))
25.0ms
(sin (- (* 0.3333333333333333 (* t z))))
23.0ms
(sin (- (* 0.3333333333333333 (* t z))))

simplify270.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
053247
1106210
2223210
3454210
42513210
55001210

prune306.0ms

Filtered
46 candidates to 39 candidates (84.8%)
Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 17.0b

regimes3.0s

Accuracy

62.3% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06236
17736
27736

end0.0ms

sample2.8s

Algorithm
intervals
Results
615.0ms9130×body80nan
603.0ms1505×body1280valid
350.0ms5687×body80valid
260.0ms985×body640valid
243.0ms368×body2560valid
85.0ms436×body320valid
26.0ms193×body160valid