Details

Time bar (total: 6.5s)

sample53.0ms

Algorithm
intervals
Results
17.0ms238×body80nan
16.0ms256×body80valid

simplify61.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
frac-times associate-/r/
associate-*l*
cbrt-undiv div-exp associate-*l/ add-log-exp
times-frac sqrt-prod *-commutative associate-/l*
distribute-rgt-in sub-neg distribute-lft-in
frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
26.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
104.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
22.0ms
(* 6.0 (* v v))
130.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series971.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
314.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms
(* 6.0 (* v v))
499.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify126.0ms

Counts
121 → 121

prune374.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.1b
(* 6.0 (* v v))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
30×sqrt-prod
18×associate-*r/ associate-/r/
14×pow1
12×prod-exp cbrt-unprod associate-/l*
10×cbrt-undiv flip3-- div-exp flip--
div-inv
associate-/r*
pow-prod-down
associate-*r*
associate-*l* add-log-exp
distribute-rgt-in sub-neg frac-2neg distribute-lft-in sqrt-div clear-num *-commutative
associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 159
Calls
4 calls:
48.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
37.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
26.0ms
(* 6.0 (* v v))

series831.0ms

Counts
4 → 12
Calls
4 calls:
515.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
153.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
135.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
27.0ms
(* 6.0 (* v v))

simplify97.0ms

Counts
171 → 171

prune518.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.0b
(log (exp (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))))
0.1b
(* 6.0 (* v v))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
15×pow1
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×log-pow
exp-prod prod-exp cbrt-unprod
times-frac associate-*r/ pow-prod-down
associate-*r*
associate-*l* associate-/r/ add-log-exp
cbrt-undiv log-prod flip3-- div-exp flip-- associate-/l*
distribute-rgt-in sub-neg distribute-lft-in *-commutative div-inv
frac-2neg rem-log-exp clear-num associate-/r* difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
40.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
23.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
33.0ms
(log (exp (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))))
23.0ms
(* 6.0 (* v v))

series807.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
465.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
152.0ms
(log (exp (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))))
28.0ms
(* 6.0 (* v v))

simplify54.0ms

Counts
102 → 102

prune298.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify50.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
651.0ms8000×body80valid
627.0ms8074×body80nan