Details

Time bar (total: 25.2s)

sample495.0ms

Algorithm
intervals
Results
292.0ms91×body1280valid
54.0ms59×body640valid
52.0ms81×body80valid
14.0ms21×body320valid
1.0ms4×body160valid

simplify967.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
0.2b
(pow (sin ky) 2.0)
0.3b
(pow (sin kx) 2.0)
3.6b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
27×add-sqr-sqrt
26×add-cube-cbrt
25×sqrt-prod
24×times-frac
16×unpow-prod-down
10×distribute-lft-out
8×add-exp-log associate-/r*
7×pow1
6×pow-unpow add-cbrt-cube
4×sqrt-div add-log-exp
3×associate-/l*
2×pow-to-exp pow-pow flip3-+ pow-exp associate-/r/ flip-+ sqr-pow
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
4 → 100
Calls
4 calls:
85.0ms
(/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
8.0ms
(pow (sin ky) 2.0)
8.0ms
(pow (sin kx) 2.0)
99.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
147.0ms
(pow (sin ky) 2.0)
161.0ms
(pow (sin kx) 2.0)
153.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify1.7s

Counts
112 → 112

prune629.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin kx))
0.7b
(cbrt (sin kx))
0.7b
(cbrt (sin kx))
3.6b
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (sin kx))
1.0ms
(cbrt (sin kx))
1.0ms
(cbrt (sin kx))
54.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (sin kx))
172.0ms
(cbrt (sin kx))
137.0ms
(cbrt (sin kx))
123.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

simplify1.4s

Counts
60 → 60

prune497.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin kx))
0.7b
(cbrt (sin kx))
0.7b
(cbrt (sin kx))
3.6b
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt (sin kx))
1.0ms
(cbrt (sin kx))
1.0ms
(cbrt (sin kx))
59.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (sin kx))
141.0ms
(cbrt (sin kx))
188.0ms
(cbrt (sin kx))
124.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))

simplify1.4s

Counts
60 → 60

prune533.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
3.6b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.6b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.6b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
30×cbrt-prod sqrt-prod
25×add-sqr-sqrt
24×times-frac
22×add-cube-cbrt
12×unpow-prod-down distribute-lft-out
8×sqrt-div
7×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-/r/
1×cbrt-div pow1/3 div-inv
Counts
4 → 90
Calls
4 calls:
25.0ms
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
50.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
37.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
53.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series605.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
114.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
135.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
116.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify1.1s

Counts
102 → 102

prune737.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 12.1b

regimes1.8s

Accuracy

57.6% (0.7b remaining)

Error of 11.8b against oracle of 11.0b and baseline of 12.7b

bsearch6.0ms

simplify2.1s

end0.0ms

sample8.7s

Algorithm
intervals
Results
4.4s2844×body1280valid
2.5s1816×body640valid
560.0ms2276×body80valid
522.0ms718×body320valid
191.0ms346×body160valid