Details

Time bar (total: 15.2s)

sample152.0ms

Algorithm
intervals
Results
51.0ms90×body1280valid
46.0ms81×body2560valid
14.0ms270×body80nan
11.0ms40×body640valid
5.0ms24×body320valid
2.0ms15×body160valid
1.0msbody80valid

simplify1.8s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

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))
0.5b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite93.0ms

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
pow1
associate-/r* difference-of-squares
associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l* add-log-exp
flip3-- associate-/r/ flip-- associate-/l/
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:
68.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
19.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
49.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify637.0ms

Counts
72 → 72

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.5b
(log (exp (* 5.0 (* v v))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
24×times-frac
18×add-cube-cbrt
15×pow1
12×difference-of-squares
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
log-pow
associate-/l*
add-log-exp
associate-/r*
log-prod associate-*l* pow-prod-down prod-exp cbrt-unprod
flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv acos-asin exp-prod exp-to-pow frac-2neg div-sub div-exp rem-log-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 92
Calls
4 calls:
58.0ms
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
18.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
10.0ms
(log (exp (* 5.0 (* v v))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
28.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
48.0ms
(log (exp (* 5.0 (* v v))))

simplify678.0ms

Counts
104 → 104

prune387.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

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)))))
0.1b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.5b
(log (exp (* 5.0 (* v v))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
log-prod
exp-prod add-log-exp
log-pow
associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
acos-asin exp-to-pow rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 56
Calls
4 calls:
7.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
46.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
5.0ms
(log (exp (* 5.0 (* v v))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
40.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
49.0ms
(log (exp (* 5.0 (* v v))))

simplify2.2s

Counts
68 → 68

prune282.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow E (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
0.1b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.5b
(log (exp (* 5.0 (* v v))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
10×add-exp-log add-sqr-sqrt
add-cube-cbrt *-un-lft-identity add-cbrt-cube
log-prod
add-log-exp
pow-unpow log-pow
unpow-prod-up unpow-prod-down associate-*l* pow-prod-down prod-exp cbrt-unprod
pow-exp
acos-asin pow-to-exp e-exp-1 exp-prod exp-to-pow pow-pow rem-log-exp associate-*r* *-commutative unswap-sqr sqr-pow
Counts
4 → 63
Calls
4 calls:
7.0ms
(pow E (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
18.0ms
(* 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))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
380.0ms
(pow E (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
26.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
49.0ms
(log (exp (* 5.0 (* v v))))

simplify820.0ms

Counts
75 → 75

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify780.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s2939×body2560valid
1.9s2516×body1280valid
582.0ms7862×body80nan
363.0ms1266×body640valid
186.0ms632×body320valid
107.0ms438×body160valid
50.0ms209×body80valid