Details

Time bar (total: 9.2s)

sample103.0ms

Algorithm
intervals
Results
21.0ms283×body80nan
16.0ms43×body1280valid
11.0ms43×body640valid
10.0ms178×body80valid
7.0ms11×body2560valid
1.0ms8×body320valid
0.0ms2×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize16.0ms

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))))
21.2b
(cos (- y (/ (* z t) 3.0)))

rewrite65.0ms

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)
8.0ms
(/ a (* b 3.0))
27.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(cos (- y (/ (* z t) 3.0)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
84.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0404507
11689429
25001426

prune331.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.9b

localize25.0ms

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))))))
0.3b
(* (sin y) (sin (- (/ (* z t) 3.0))))
24.7b
(cos (/ (* z t) 3.0))
25.1b
(sin (- (/ (* z t) 3.0)))

rewrite99.0ms

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:
66.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
22.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
6.0ms
(sin (- (/ (* z t) 3.0)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
47.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (- (/ (* z t) 3.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0383900
11693768
25002754

prune412.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 13.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
0.3b
(* 0.3333333333333333 (* t z))
24.6b
(sin (- (* 0.3333333333333333 (* t z))))
24.7b
(cos (/ (* z t) 3.0))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×associate-*r/ associate-*r* associate-*l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in cos-mult *-commutative sin-mult
1×neg-sub0 flip3-- sin-neg sin-diff frac-sub flip-- sub-div
Counts
4 → 60
Calls
4 calls:
149.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
17.0ms
(* 0.3333333333333333 (* t z))
17.0ms
(sin (- (* 0.3333333333333333 (* t z))))
3.0ms
(cos (/ (* z t) 3.0))

series239.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
18.0ms
(* 0.3333333333333333 (* t z))
18.0ms
(sin (- (* 0.3333333333333333 (* t z))))
9.0ms
(cos (/ (* z t) 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417796
11808662
25001654

prune403.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 13.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt 0.3333333333333333) (* t z))
1.0b
(* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333))
24.4b
(sin (- (* (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt 0.3333333333333333) (* t z)))))
24.7b
(cos (/ (* z t) 3.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×cbrt-prod
16×pow1
14×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×add-exp-log
7×associate-*r* add-cbrt-cube
6×pow1/3 swap-sqr
5×pow-prod-down
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 neg-sub0 pow-plus sin-neg sin-diff
Counts
4 → 77
Calls
4 calls:
17.0ms
(* (cbrt 0.3333333333333333) (* t z))
12.0ms
(* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333))
53.0ms
(sin (- (* (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt 0.3333333333333333) (* t z)))))
3.0ms
(cos (/ (* z t) 3.0))

series112.0ms

Counts
4 → 10
Calls
4 calls:
40.0ms
(* (cbrt 0.3333333333333333) (* t z))
0.0ms
(* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333))
63.0ms
(sin (- (* (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt 0.3333333333333333) (* t z)))))
9.0ms
(cos (/ (* z t) 3.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0211448
1859396
24065372
35002361

prune420.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 13.6b

regimes2.9s

Accuracy

45.8% (2.1b remaining)

Error of 18.7b against oracle of 16.6b and baseline of 20.5b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06545
18145
29045
39045

end0.0ms

sample3.0s

Algorithm
intervals
Results
579.0ms1551×body1280valid
570.0ms8967×body80nan
326.0ms5615×body80valid
251.0ms388×body2560valid
240.0ms952×body640valid
92.0ms458×body320valid
27.0ms212×body160valid