Details

Time bar (total: 24.3s)

sample212.0ms

Algorithm
intervals
Results
74.0ms81×body2560valid
66.0ms83×body1280valid
23.0ms240×body80nan
23.0ms46×body640valid
7.0ms20×body320valid
5.0ms19×body160valid
1.0msbody80valid

simplify155.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize30.0ms

Local error

Found 2 expressions with local error:

1.1b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b
(* 5 (* v v))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
insert-posit16 add-log-exp
acos-asin associate-*r* *-commutative unswap-sqr
Counts
2 → 29
Calls
2 calls:
Slowest
21.0ms
(* 5 (* v v))
2.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(* 5 (* v v))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.4s

Counts
16 → 35
Calls
16 calls:
Slowest
300.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
291.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
273.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
219.0ms
(* (* (* 5 5) 5) (* (* (* v v) (* v v)) (* v v)))
191.0ms
(* (* (* 5 5) 5) (* (* (* v v) v) (* (* v v) v)))

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.1b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b
(* 5 (* v v))
0.0b
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.0b
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-exp-log
add-sqr-sqrt add-cbrt-cube
*-un-lft-identity add-cube-cbrt
log-prod
exp-prod insert-posit16 add-log-exp
associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
log-pow
acos-asin rem-log-exp associate-*r* *-commutative unswap-sqr rem-exp-log
Counts
4 → 58
Calls
4 calls:
Slowest
13.0ms
(* 5 (* v v))
2.0ms
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
40.0ms
(* 5 (* v v))
3.0ms
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify4.6s

Counts
34 → 70
Calls
34 calls:
Slowest
355.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
306.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
297.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
284.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
261.0ms
(log (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.1b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.1b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.2b
(* 5 (* v v))
0.2b
(* 5 (* v v))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
insert-posit16 add-log-exp
acos-asin associate-*r* *-commutative unswap-sqr
Counts
4 → 58
Calls
4 calls:
Slowest
30.0ms
(* 5 (* v v))
13.0ms
(* 5 (* v v))
2.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
2.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
46.0ms
(* 5 (* v v))
31.0ms
(* 5 (* v v))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.1s

Counts
32 → 70
Calls
32 calls:
Slowest
346.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
329.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
327.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
312.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
292.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize87.0ms

Local error

Found 4 expressions with local error:

4.2b
(log (exp (* 5 (* v v))))
1.1b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.1b
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))
0.2b
(* 5 (* v v))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
add-log-exp
insert-posit16
log-prod associate-*l* pow-prod-down prod-exp log-pow cbrt-unprod
acos-asin
exp-prod exp-to-pow rem-log-exp associate-*r* *-commutative unswap-sqr
Counts
4 → 53
Calls
4 calls:
Slowest
21.0ms
(* 5 (* v v))
4.0ms
(log (exp (* 5 (* v v))))
1.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
48.0ms
(log (exp (* 5 (* v v))))
34.0ms
(* 5 (* v v))
6.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
5.0ms
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))

simplify3.1s

Counts
27 → 65
Calls
27 calls:
Slowest
596.0ms
(* (* (* 5 5) 5) (* (* (* v v) (* v v)) (* v v)))
298.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
297.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
295.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
294.0ms
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

regimes258.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.1s2916×body2560valid
1.7s2477×body1280valid
914.0ms8069×body80nan
773.0ms1311×body640valid
618.0ms661×body320valid
138.0ms424×body160valid
28.0ms211×body80valid