Details

Time bar (total: 20.9s)

sample178.0ms

Algorithm
intervals
Results
77.0ms107×body2560valid
34.0ms68×body1280valid
18.0ms272×body80nan
14.0ms39×body640valid
5.0ms20×body320valid
3.0ms15×body160valid
1.0ms7×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5018
84522
71213
6455
5218
4138
377
242
120
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

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))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
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×acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
23.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
13.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
50.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.7s

Counts
78 → 78
Iterations
IterNodes
done5000
21179
1372
0145

prune438.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize45.0ms

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))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt
5×expm1-log1p-u *-un-lft-identity add-cube-cbrt
4×log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p associate-*r* log1p-expm1 *-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)))))
19.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
238.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
40.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.1s

Counts
65 → 65
Iterations
IterNodes
done5001
31231
2344
1152
079

prune359.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 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))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
9×pow1
5×log1p-expm1-u
4×expm1-log1p-u associate-/r* add-log-exp difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×acos-asin cbrt-undiv expm1-log1p clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv expm1-udef unswap-sqr
Counts
4 → 80
Calls
4 calls:
30.0ms
(/ (- 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))))))
13.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
193.0ms
(expm1 (* 1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
35.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.7s

Counts
92 → 92
Iterations
IterNodes
done5001
21261
1392
0157

prune536.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b
(expm1 (log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
0.1b
(* 5.0 (* v v))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×*-un-lft-identity
7×add-sqr-sqrt
6×add-cube-cbrt
5×log1p-expm1-u
4×expm1-log1p-u log-prod add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×log-div expm1-log1p log1p-def
1×acos-asin flip3-+ rem-log-exp associate-*r* log-pow *-commutative flip-+ distribute-lft-out expm1-udef unswap-sqr
Counts
4 → 61
Calls
4 calls:
7.0ms
(log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(expm1 (log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
26.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
204.0ms
(expm1 (log (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
30.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.2s

Counts
73 → 73
Iterations
IterNodes
done5002
31755
2519
1211
0101

prune368.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

regimes263.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s2989×body2560valid
1.2s2536×body1280valid
610.0ms650×body320valid
519.0ms8173×body80nan
481.0ms1199×body640valid
60.0ms435×body160valid
15.0ms191×body80valid