Details

Time bar (total: 16.7s)

sample71.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
22.0ms251×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done1567
91567
81565
71415
61135
5757
4385
3181
270
127
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* (* v v) 3.0)))
0.0b
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
0.0b
(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
0.2b
(* (* v v) 3.0)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×associate-*r*
23×add-cbrt-cube add-exp-log
18×*-un-lft-identity add-cube-cbrt
17×pow1
14×times-frac
11×sqrt-prod
10×prod-exp cbrt-unprod
8×associate-*l*
7×pow-prod-down
6×sqrt-div associate-*r/
5×unswap-sqr
4×add-log-exp
3×flip3-- *-commutative flip-- difference-of-squares
2×frac-times cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* (* v v) 3.0)))
20.0ms
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
46.0ms
(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
14.0ms
(* (* v v) 3.0)

series865.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(sqrt (- 1.0 (* (* v v) 3.0)))
209.0ms
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
485.0ms
(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
48.0ms
(* (* v v) 3.0)

simplify2.3s

Counts
114 → 114
Iterations
IterNodes
done5000
24405
1676
0241

prune522.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* (* v v) 3.0)))
0.0b
(* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0))))
0.0b
(* (sqrt 2.0) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0)))))
0.2b
(* (* v v) 3.0)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×add-cbrt-cube associate-*l* add-exp-log
18×*-un-lft-identity add-cube-cbrt
17×pow1
14×times-frac
11×sqrt-prod
10×sqrt-div associate-*r* prod-exp cbrt-unprod
9×associate-*r/
7×pow-prod-down
5×flip3-- flip-- unswap-sqr
4×frac-times add-log-exp
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (* (* v v) 3.0)))
41.0ms
(* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0))))
77.0ms
(* (sqrt 2.0) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0)))))
14.0ms
(* (* v v) 3.0)

series708.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (- 1.0 (* (* v v) 3.0)))
268.0ms
(* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0))))
326.0ms
(* (sqrt 2.0) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (- 1.0 (* (* v v) 3.0)))))
31.0ms
(* (* v v) 3.0)

simplify1.7s

Counts
118 → 118
Iterations
IterNodes
done5001
23641
1719
0260

prune680.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))
0.2b
(* (* v v) 3.0)
0.2b
(* (* v v) 3.0)
1.0b
(* (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))) (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))))

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
65×pow1
28×sqrt-pow1
27×pow-prod-down
25×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
16×associate-*r*
14×*-un-lft-identity add-cube-cbrt
13×associate-*l*
11×prod-exp cbrt-unprod
10×pow1/2 pow-prod-up
8×sqrt-prod
6×associate-*l/ pow-sqr
5×unswap-sqr
4×sqrt-div swap-sqr *-commutative add-log-exp
3×times-frac
2×cbrt-undiv div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*r/ div-inv
Counts
4 → 121
Calls
4 calls:
44.0ms
(* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))
15.0ms
(* (* v v) 3.0)
22.0ms
(* (* v v) 3.0)
254.0ms
(* (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))) (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
422.0ms
(* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))
41.0ms
(* (* v v) 3.0)
38.0ms
(* (* v v) 3.0)
557.0ms
(* (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))) (sqrt (* (/ (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* v v) 3.0)))) 4.0) (sqrt 2.0))))

simplify2.0s

Counts
133 → 133
Iterations
IterNodes
done5001
24475
1705
0242

prune806.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8164×body80nan
738.0ms8000×body80valid