Details

Time bar (total: 14.9s)

sample79.0ms

Algorithm
intervals
Results
32.0ms97×body2560valid
17.0ms80×body1280valid
7.0ms42×body640valid
6.0ms228×body80nan
2.0ms19×body320valid
1.0ms11×body160valid
0.0ms7×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
12014
24314
38414
415514
524114
633014
748214
8110714
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- 1.0 (* 5.0 (* v v)))
0.2b
(* 5.0 (* v v))
0.3b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u difference-of-squares
3×flip3-- fma-neg associate-*l* prod-diff pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv acos-asin sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
27.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
7.0ms
(- 1.0 (* 5.0 (* v v)))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
60.0ms
(- 1.0 (* 5.0 (* v v)))
26.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: 3 (986.0ms)

IterNodesCost
01631547
13771484
211691356
341001349
done50001349

prune243.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0))
0.0b
(fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0)))
0.2b
(* (* v v) 5.0)
0.3b
(acos (/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×associate-/r/
1×cbrt-undiv acos-asin flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- fma-udef div-inv unswap-sqr
Counts
4 → 76
Calls
4 calls:
17.0ms
(/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0))
0.0ms
(fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0)))
18.0ms
(* (* v v) 5.0)
1.0ms
(acos (/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0))
116.0ms
(fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0)))
25.0ms
(* (* v v) 5.0)
12.0ms
(acos (/ (fma (sqrt 1.0) (sqrt 1.0) (- (* (* v v) 5.0))) (- (* v v) 1.0)))

simplify1.8s

Counts
88 → 88
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01561723
13281330
210321211
333811208
done50021206

prune230.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (pow v 2))
0.3b
(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
1.0b
(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
1.0b
(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×cbrt-prod
10×add-exp-log unpow-prod-down
8×associate-*r*
7×add-cbrt-cube
6×cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-unpow associate-*l* prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp unpow2
1×acos-asin pow-pow pow1/3 *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 87
Calls
4 calls:
12.0ms
(* 5.0 (pow v 2))
3.0ms
(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
2.0ms
(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
3.0ms
(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

series82.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 5.0 (pow v 2))
4.0ms
(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
4.0ms
(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
44.0ms
(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01121838
12131614
25181410
326891402
done50001399

prune205.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0b
(cbrt (pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3))
1.0b
(pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
14×pow-pow
10×add-sqr-sqrt sqrt-pow1 pow1/2
8×cbrt-prod add-cube-cbrt *-un-lft-identity
7×add-exp-log add-cbrt-cube
6×sqrt-prod
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down pow-sqr
2×cube-mult unpow-prod-down rem-sqrt-square unpow3 cube-prod pow-exp rem-cube-cbrt sqr-pow
1×pow2 pow-to-exp pow-plus pow1/3 sqrt-unprod prod-exp sqrt-pow2 rem-cbrt-cube cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
3.0ms
(cbrt (pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3))
10.0ms
(pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3)

series95.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
20.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))
5.0ms
(cbrt (pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3))
51.0ms
(pow (* (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 3)

simplify1.3s

Counts
98 → 98
Iterations

Useful iterations: 3 (226.0ms)

IterNodesCost
0892685
11441551
22921458
311271448
done50001448

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
11634
done1634

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s3003×body2560valid
565.0ms2497×body1280valid
227.0ms7874×body80nan
205.0ms1227×body640valid
80.0ms655×body320valid
34.0ms413×body160valid
10.0ms205×body80valid