Details

Time bar (total: 10.9s)

sample97.0ms

Algorithm
intervals
Results
18.0ms48×body1280valid
17.0ms286×body80nan
11.0ms200×body80valid
7.0ms27×body640valid
4.0ms7×body2560valid
2.0ms12×body320valid
1.0ms5×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: 15.8b

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))))
22.0b
(cos (- y (/ (* z t) 3.0)))

rewrite68.0ms

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)
12.0ms
(/ a (* b 3.0))
28.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms
(cos (- y (/ (* z t) 3.0)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
86.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
31.0ms
(cos (- y (/ (* z t) 3.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0404507
11689429
25001426

prune328.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.9b

localize23.0ms

Local error

Found 4 expressions with local error:

15.4b
(cbrt (/ (* z t) 3.0))
15.4b
(cbrt (/ (* z t) 3.0))
15.4b
(cbrt (/ (* z t) 3.0))
22.0b
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
4.0ms
(cbrt (/ (* z t) 3.0))
4.0ms
(cbrt (/ (* z t) 3.0))
9.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (/ (* z t) 3.0))
88.0ms
(cbrt (/ (* z t) 3.0))
89.0ms
(cbrt (/ (* z t) 3.0))
79.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify131.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0163579
1328531
2903507
34295501
45002501

prune447.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 12.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* z t) (sqrt 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
0.3b
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
21.8b
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l*
9×pow1 div-inv
7×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative associate-/l/
Counts
4 → 150
Calls
4 calls:
11.0ms
(/ (* z t) (sqrt 3.0))
31.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
17.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
60.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

series653.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (* z t) (sqrt 3.0))
322.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
115.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
150.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05781510
125281272
250011259

prune606.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 12.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
0.3b
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
25.2b
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
25.9b
(sin (- (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
108×sqrt-prod
90×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
20×associate-/l*
16×div-inv
12×associate-/r*
10×cbrt-undiv div-exp
4×pow1 add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
1×neg-sub0 sin-neg sin-diff
Counts
4 → 202
Calls
4 calls:
18.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
18.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
13.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
30.0ms
(sin (- (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
120.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
71.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
101.0ms
(sin (- (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04221965
118941665
250021635

prune888.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 12.0b

regimes3.1s

Accuracy

48.8% (2.6b remaining)

Error of 17.9b against oracle of 15.3b and baseline of 20.4b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05654
15854
26454
36454

end0.0ms

sample3.1s

Algorithm
intervals
Results
604.0ms9192×body80nan
589.0ms1536×body1280valid
343.0ms5676×body80valid
263.0ms972×body640valid
233.0ms356×body2560valid
93.0ms472×body320valid
25.0ms188×body160valid