Details

Time bar (total: 16.9s)

sample94.0ms

Algorithm
intervals
Results
18.0ms48×body1280valid
17.0ms286×body80nan
11.0ms200×body80valid
7.0ms27×body640valid
4.0ms7×body2560valid
2.0ms12×body320valid
1.0ms5×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

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)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
9.0ms
(/ (* z t) 3.0)
7.0ms
(/ a (* b 3.0))
45.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms
(cos (- y (/ (* z t) 3.0)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
94.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms
(cos (- y (/ (* z t) 3.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06851511
123611261
250011258

prune449.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.7b

localize20.0ms

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)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×cos-sum
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 prod-diff div-inv
1×cos-diff sub-neg
Counts
4 → 69
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
12.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (/ (* z t) 3.0))
93.0ms
(cbrt (/ (* z t) 3.0))
93.0ms
(cbrt (/ (* z t) 3.0))
83.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0206856
1405819
21137780
35001766

prune538.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 12.6b

localize19.0ms

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))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
396×times-frac
233×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
204×sqrt-prod
194×cos-sum
192×prod-diff
30×div-inv
23×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l*
9×pow1
7×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative associate-/l/
Counts
4 → 350
Calls
4 calls:
11.0ms
(/ (* z t) (sqrt 3.0))
58.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
16.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
109.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (* z t) (sqrt 3.0))
341.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
126.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
165.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

simplify181.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0250519652
1500116864

prune1.3s

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 11.7b

localize26.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (/ (* z t) (sqrt 3.0)))
15.3b
(cbrt (/ (* z t) (sqrt 3.0)))
15.3b
(cbrt (/ (* z t) (sqrt 3.0)))
22.1b
(cos (- y (/ (* (cbrt (/ (* z t) (sqrt 3.0))) (cbrt (/ (* z t) (sqrt 3.0)))) (/ (sqrt 3.0) (cbrt (/ (* z t) (sqrt 3.0)))))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
609×times-frac
266×cos-sum
264×prod-diff
257×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
210×cbrt-prod
180×sqrt-prod
27×div-inv
6×cbrt-div associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×cos-diff sub-neg
Counts
4 → 339
Calls
4 calls:
4.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
4.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
4.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
172.0ms
(cos (- y (/ (* (cbrt (/ (* z t) (sqrt 3.0))) (cbrt (/ (* z t) (sqrt 3.0)))) (/ (sqrt 3.0) (cbrt (/ (* z t) (sqrt 3.0)))))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
178.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
179.0ms
(cbrt (/ (* z t) (sqrt 3.0)))
171.0ms
(cos (- y (/ (* (cbrt (/ (* z t) (sqrt 3.0))) (cbrt (/ (* z t) (sqrt 3.0)))) (/ (sqrt 3.0) (cbrt (/ (* z t) (sqrt 3.0)))))))

simplify370.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
0322845203
1500244103

prune2.0s

Pruning

47 alts after pruning (47 fresh and 0 done)

Merged error: 11.6b

regimes6.3s

Accuracy

44.2% (3.1b remaining)

Error of 17.9b against oracle of 14.8b and baseline of 20.4b

bsearch12.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05341
15341

end0.0ms

sample3.0s

Algorithm
intervals
Results
579.0ms9192×body80nan
571.0ms1536×body1280valid
326.0ms5676×body80valid
257.0ms972×body640valid
226.0ms356×body2560valid
90.0ms472×body320valid
25.0ms188×body160valid