Details

Time bar (total: 10.7s)

sample105.0ms

Algorithm
intervals
Results
21.0ms53×body1280valid
20.0ms287×body80nan
12.0ms18×body2560valid
11.0ms177×body80valid
7.0ms24×body640valid
3.0ms14×body320valid
1.0ms8×body160valid

simplify20.0ms

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: 19.9b

localize17.0ms

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))))
23.5b
(cos (- y (/ (* z t) 3.0)))

rewrite36.0ms

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:
5.0ms
(/ (* z t) 3.0)
8.0ms
(/ a (* b 3.0))
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
20.0ms
(/ a (* b 3.0))
104.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06851511
123611261
250011258

prune462.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.0b

localize21.0ms

Local error

Found 4 expressions with local error:

15.2b
(cbrt (/ (* z t) 3.0))
15.2b
(cbrt (/ (* z t) 3.0))
15.2b
(cbrt (/ (* z t) 3.0))
23.5b
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite15.0ms

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))
4.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (/ (* z t) 3.0))
104.0ms
(cbrt (/ (* z t) 3.0))
111.0ms
(cbrt (/ (* z t) 3.0))
96.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0206856
1405819
21137780
35001766

prune538.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.9b

localize37.0ms

Local error

Found 4 expressions with local error:

15.2b
(cbrt (/ (* z t) 3.0))
15.2b
(cbrt (/ (* z t) 3.0))
28.7b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
28.9b
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 54
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
4.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
5.0ms
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

series475.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (/ (* z t) 3.0))
106.0ms
(cbrt (/ (* z t) 3.0))
56.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
208.0ms
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

simplify340.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0173488
1357452
2994440
33709436
45001436

prune615.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 16.8b

localize45.0ms

Local error

Found 4 expressions with local error:

28.7b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
28.7b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
28.7b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
28.9b
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 36
Calls
4 calls:
4.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
4.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
4.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
5.0ms
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

series381.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
61.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
56.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
205.0ms
(sin (pow (cbrt (/ (* z t) 3.0)) 3))

simplify101.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0135586
1288500
2840500
33215500
45001500

prune388.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 16.8b

regimes3.4s

Accuracy

52.3% (1.9b remaining)

Error of 17.7b against oracle of 15.8b and baseline of 19.8b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06299
16299

end0.0ms

sample2.9s

Algorithm
intervals
Results
650.0ms1555×body1280valid
571.0ms9181×body80nan
359.0ms5629×body80valid
268.0ms955×body640valid
264.0ms377×body2560valid
89.0ms437×body320valid
31.0ms214×body160valid