Details

Time bar (total: 13.4s)

sample135.0ms

Algorithm
intervals
Results
29.0ms51×body1280valid
28.0ms290×body80nan
22.0ms185×body80valid
10.0ms11×body2560valid
10.0ms24×body640valid
5.0ms16×body320valid
1.0ms6×body160valid

simplify16.0ms

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: 21.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b
(/ (* z t) 3.0)
24.4b
(cos (- y (/ (* z t) 3.0)))

rewrite44.0ms

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:
3.0ms
(/ a (* b 3.0))
18.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ (* z t) 3.0)
15.0ms
(cos (- y (/ (* z t) 3.0)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ a (* b 3.0))
105.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms
(/ (* z t) 3.0)
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06851511
123611261
250011258

prune462.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
0.4b
(/ z (sqrt 3.0))
0.4b
(/ t (sqrt 3.0))
24.3b
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
84×times-frac
61×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
5×cos-sum
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×prod-diff
2×frac-2neg clear-num
1×cos-diff frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 172
Calls
4 calls:
25.0ms
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
3.0ms
(/ z (sqrt 3.0))
3.0ms
(/ t (sqrt 3.0))
5.0ms
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
63.0ms
(/ z (sqrt 3.0))
63.0ms
(/ t (sqrt 3.0))
186.0ms
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05261345
122401251
250021197

prune801.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ t (sqrt 3.0))
0.4b
(/ t (sqrt 3.0))
30.3b
(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
30.9b
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×sqrt-prod
12×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 100
Calls
4 calls:
3.0ms
(/ t (sqrt 3.0))
6.0ms
(/ t (sqrt 3.0))
2.0ms
(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
2.0ms
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ t (sqrt 3.0))
60.0ms
(/ t (sqrt 3.0))
109.0ms
(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
79.0ms
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0148636
1399590
21634568
35002568

prune973.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 15.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ t (sqrt 3.0)))
0.6b
(cbrt (/ t (sqrt 3.0)))
30.8b
(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
30.9b
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
36×times-frac
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×sqrt-prod
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 → 84
Calls
4 calls:
3.0ms
(cbrt (/ t (sqrt 3.0)))
3.0ms
(cbrt (/ t (sqrt 3.0)))
30.0ms
(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
2.0ms
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

series908.0ms

Counts
4 → 12
Calls
4 calls:
352.0ms
(cbrt (/ t (sqrt 3.0)))
334.0ms
(cbrt (/ t (sqrt 3.0)))
131.0ms
(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
91.0ms
(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0197866
1406804
21403783
35002759

prune616.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 15.5b

regimes3.8s

Accuracy

57.4% (1.8b remaining)

Error of 17.6b against oracle of 15.8b and baseline of 20.0b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06345
16345

end0.0ms

sample4.2s

Algorithm
intervals
Results
939.0ms1560×body1280valid
929.0ms9139×body80nan
619.0ms5614×body80valid
402.0ms899×body640valid
358.0ms388×body2560valid
151.0ms463×body320valid
42.0ms182×body160valid