Details

Time bar (total: 4.1s)

sample81.0ms

Algorithm
intervals
Results
33.0ms102×body2560valid
16.0ms74×body1280valid
9.0ms40×body640valid
6.0ms242×body80nan
2.0ms19×body320valid
1.0ms15×body160valid
0.0ms6×body80valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1427
2777
31467
42427
54177
627897
750017
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

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)))

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×associate-*l* pow-prod-down prod-exp cbrt-unprod 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 → 63
Calls
3 calls:
27.0ms
(/ (- 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)))

series106.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify36.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0336587
11261535
25002531
done5002531

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

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)))

rewrite26.0ms

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×exp-prod 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 → 54
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)))))
19.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(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)))

simplify115.0ms

Counts
66 → 66
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0156537
1407466
21036448
33485442
45001442
done5001442

prune127.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

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))))

rewrite27.0ms

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×log-pow
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 → 56
Calls
4 calls:
3.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
17.0ms
(* 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))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
27.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
25.0ms
(log (exp (* 5.0 (* v v))))

simplify119.0ms

Counts
68 → 68
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0168487
1442420
21093396
33738390
45001390
done5001390

prune162.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize19.0ms

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))))

rewrite12.0ms

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 add-cbrt-cube
2×acos-asin exp-prod exp-to-pow rem-log-exp
Counts
4 → 44
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)))
4.0ms
(log (exp (* 5.0 (* v v))))
5.0ms
(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)))
24.0ms
(log (exp (* 5.0 (* v v))))
28.0ms
(log (exp (* 5.0 (* v v))))

simplify73.0ms

Counts
56 → 56
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
071426
1169354
2530354
32077354
45001354
done5001354

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes81.0ms

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
02623
12823
22823
done2823

end0.0ms

sample2.4s

Algorithm
intervals
Results
988.0ms2962×body2560valid
564.0ms2556×body1280valid
207.0ms7905×body80nan
197.0ms1256×body640valid
70.0ms611×body320valid
32.0ms405×body160valid
10.0ms210×body80valid