Details

Time bar (total: 4.7s)

sample85.0ms

Algorithm
intervals
Results
36.0ms103×body2560valid
15.0ms61×body1280valid
7.0ms44×body640valid
7.0ms250×body80nan
3.0ms28×body320valid
1.0ms10×body160valid
1.0ms10×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
26.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
26.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify41.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0349623
11288567
25001565
done5001565

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b
(* 5.0 (* v v))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×expm1-log1p-u add-cube-cbrt *-un-lft-identity
4×log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
0.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
130.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
29.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify117.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0152473
1385408
2992406
33312406
45001406
done5001406

prune139.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(expm1 (* 1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
0.1b
(* 5.0 (* v v))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u
4×add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
0.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms
(expm1 (* 1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
131.0ms
(expm1 (* 1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
30.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify132.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0158473
1433408
21144406
33886406
45001406
done5001406

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.1b
(* 5.0 (* v v))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×acos-asin associate-*r* *-commutative unswap-sqr
Counts
4 → 62
Calls
4 calls:
18.0ms
(* 5.0 (* v v))
16.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
25.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify112.0ms

Counts
74 → 74
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0124412
1355352
2960352
33275352
45001352
done5001352

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11910
21910
done1910

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s2961×body2560valid
603.0ms2548×body1280valid
221.0ms8080×body80nan
205.0ms1202×body640valid
81.0ms659×body320valid
35.0ms406×body160valid
11.0ms224×body80valid