Details

Time bar (total: 17.5s)

sample54.0ms

Algorithm
intervals
Results
17.0ms288×body80nan
17.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×times-frac sqrt-prod associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
95.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
118.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
3 → 9
Calls
3 calls:
355.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
643.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: 2 (709.0ms)

IterNodesCost
02862451
18002240
233181927
done50001927

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
54.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
34.0ms
(* 6.0 (* v v))
113.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
135.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series2.6s

Counts
4 → 12
Calls
4 calls:
527.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
35.0ms
(* 6.0 (* v v))
705.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.3s
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify828.0ms

Counts
166 → 166
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
03925777
111245031
done50004610

prune729.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* 3.0 PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v))))))
0.0b
(* (* v v) (+ 1.0 (* v v)))
0.0b
(* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
36×add-sqr-sqrt
20×associate-*l*
16×pow1
15×*-un-lft-identity
13×add-cube-cbrt times-frac
12×flip3-- sqrt-div prod-exp flip-- cbrt-unprod difference-of-squares
10×cbrt-undiv div-exp associate-*r*
8×frac-times associate-/r/
7×unpow-prod-down pow-prod-down associate-/l* sqr-pow
6×associate-*r/
4×associate-*l/ sqrt-prod add-log-exp unswap-sqr
3×cube-prod *-commutative div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ clear-num associate-/r* flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 131
Calls
4 calls:
44.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v))))))
39.0ms
(* (* v v) (+ 1.0 (* v v)))
107.0ms
(* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v)))))
48.0ms
(* 6.0 (* v v))

series904.0ms

Counts
4 → 12
Calls
4 calls:
521.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v))))))
117.0ms
(* (* v v) (+ 1.0 (* v v)))
209.0ms
(* (- (pow 1.0 3) (pow v 6)) (sqrt (- 2.0 (* 6.0 (* v v)))))
57.0ms
(* 6.0 (* v v))

simplify2.4s

Counts
143 → 143
Iterations

Useful iterations: 2 (904.0ms)

IterNodesCost
03413243
18922951
236752607
done50012607

prune929.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02536
13236
done3236

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8000×body80valid
648.0ms8051×body80nan