Details

Time bar (total: 4.4s)

sample81.0ms

Algorithm
intervals
Results
34.0ms102×body2560valid
17.0ms74×body1280valid
6.0ms242×body80nan
6.0ms40×body640valid
2.0ms19×body320valid
1.0ms15×body160valid
0.0ms6×body80valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017
done50017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.7b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite45.0ms

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:
25.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
17.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ (- 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)))

simplify38.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0349623
11288567
25001565
done5001565

prune173.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b
(* 5.0 (* v v))
0.7b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-exp-log
9×add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×log-prod
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
2×log-pow
1×acos-asin rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 62
Calls
4 calls:
1.0ms
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
20.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
25.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify114.0ms

Counts
74 → 74
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0165593
1416522
21056504
33525498
45002498
done5002498

prune158.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
0.2b
(* 5.0 (* v v))
0.7b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.2b
(log (exp (* 5.0 (* v v))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
9×add-exp-log add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×log-prod
5×exp-prod add-log-exp
4×expm1-log1p-u log-pow log1p-expm1-u
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
1×acos-asin exp-to-pow rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
20.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
5.0ms
(log (exp (* 5.0 (* v v))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
25.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
26.0ms
(log (exp (* 5.0 (* v v))))

simplify119.0ms

Counts
76 → 76
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0177539
1451472
21113448
33778442
45001442
done5001442

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
0.7b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.2b
(log (exp (* 5.0 (* v v))))
3.2b
(log (exp (* 5.0 (* v v))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-sqr-sqrt add-cube-cbrt log-prod *-un-lft-identity log-pow add-log-exp
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×acos-asin exp-prod exp-to-pow rem-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
5.0ms
(log (exp (* 5.0 (* v v))))
8.0ms
(log (exp (* 5.0 (* v v))))

series61.0ms

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

simplify75.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
076486
1173414
2540414
32099412
45001412
done5001412

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02424
12424
done2424

end0.0ms

sample2.4s

Algorithm
intervals
Results
994.0ms2962×body2560valid
576.0ms2556×body1280valid
220.0ms7905×body80nan
201.0ms1256×body640valid
71.0ms611×body320valid
33.0ms405×body160valid
10.0ms210×body80valid