Details

Time bar (total: 49.0s)

sample564.0ms

Algorithm
intervals
Results
196.0ms90×body1280valid
187.0ms64×body640valid
17.0ms66×body80valid
15.0ms22×body320valid
6.0ms14×body160valid

simplify6.5s

Counts
1 → 1
Iterations
IterNodes
done5013
73441
6914
5294
4128
362
235
123
013

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
0.3b
(pow (sin kx) 2.0)
0.3b
(pow (sin ky) 2.0)
3.0b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
34×add-sqr-sqrt
30×associate-*l*
26×times-frac
25×add-cube-cbrt
21×sqrt-prod
14×unpow-prod-down
11×add-exp-log
9×pow1 add-cbrt-cube
8×distribute-lft-out
6×pow-unpow
4×sqrt-div add-log-exp
3×associate-*r* unswap-sqr
2×pow-to-exp pow-pow flip3-+ pow-exp prod-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
211.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
8.0ms
(pow (sin kx) 2.0)
8.0ms
(pow (sin ky) 2.0)
68.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
247.0ms
(pow (sin kx) 2.0)
191.0ms
(pow (sin ky) 2.0)
154.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify4.5s

Counts
113 → 113
Iterations
IterNodes
done5008
33935
21280
1440
0180

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
0.3b
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
0.3b
(pow (sin ky) 2.0)
3.0b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
50×times-frac
49×add-sqr-sqrt
41×sqrt-prod
40×add-cube-cbrt
30×associate-*r*
19×unpow-prod-down
16×distribute-lft-out
12×add-exp-log
11×add-cbrt-cube
8×pow1 associate-/r*
6×sqrt-div
4×associate-/r/ add-log-exp
3×pow-unpow flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×pow-to-exp rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down pow-exp clear-num *-commutative sqr-pow
Counts
4 → 133
Calls
4 calls:
176.0ms
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
72.0ms
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
15.0ms
(pow (sin ky) 2.0)
54.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
270.0ms
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
206.0ms
(pow (sin ky) 2.0)
141.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify5.6s

Counts
145 → 145
Iterations
IterNodes
done5001
34691
21402
1460
0194

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.9b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
3.0b
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

rewrite115.0ms

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:
3.0ms
(cbrt (sin kx))
3.0ms
(cbrt (sin kx))
3.0ms
(cbrt (sin kx))
99.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

series788.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (sin kx))
198.0ms
(cbrt (sin kx))
194.0ms
(cbrt (sin kx))
185.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

simplify3.7s

Counts
60 → 60
Iterations
IterNodes
done5001
31809
2513
1191
081

prune934.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.9b

localize179.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
3.0b
(sqrt (+ (* (pow (* (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

rewrite164.0ms

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:
3.0ms
(cbrt (sin kx))
3.0ms
(cbrt (sin kx))
3.0ms
(cbrt (sin kx))
153.0ms
(sqrt (+ (* (pow (* (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

series737.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (sin kx))
193.0ms
(cbrt (sin kx))
216.0ms
(cbrt (sin kx))
149.0ms
(sqrt (+ (* (pow (* (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

simplify3.9s

Counts
60 → 60
Iterations
IterNodes
done5001
31846
2532
1197
083

prune766.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.9b

regimes3.6s

Accuracy

51.5% (0.9b remaining)

Error of 12.4b against oracle of 11.5b and baseline of 13.4b

bsearch30.0ms

simplify15.0ms

Iterations
IterNodes
done44
144
035

end0.0ms

sample11.5s

Algorithm
intervals
Results
6.3s2668×body1280valid
2.3s1867×body640valid
1.3s2370×body80valid
886.0ms753×body320valid
152.0ms342×body160valid