Details

Time bar (total: 22.1s)

sample91.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
25.0ms281×body80nan

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

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

rewrite326.0ms

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
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
38.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
131.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
118.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
438.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
42.0ms
(* 6.0 (* v v))
629.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.2s

Counts
121 → 121
Iterations

Useful iterations: 2 (882.0ms)

IterNodesCost
03072810
18642584
236182224
done50002224

prune505.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
1674×times-frac
1216×add-sqr-sqrt
718×associate-*l*
568×*-un-lft-identity
504×difference-of-squares
484×add-cube-cbrt
359×sqrt-prod
294×unpow-prod-down sqr-pow
126×cube-prod
123×pow1
103×div-inv
42×distribute-lft-out--
41×add-exp-log add-cbrt-cube
36×pow-prod-up
27×pow-prod-down
22×pow-sqr
18×pow-plus
17×prod-exp cbrt-unprod
14×associate-/r/
13×pow2
9×cbrt-undiv div-exp
8×flip3-- flip--
7×unswap-sqr
5×associate-*r*
4×sqrt-div add-log-exp
3×*-commutative
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 swap-sqr associate-*l/
Counts
4 → 845
Calls
4 calls:
6.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
879.0ms
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
38.0ms
(* (* v v) (* v v))
17.0ms
(* 6.0 (* v v))

series849.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
639.0ms
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
49.0ms
(* (* v v) (* v v))
44.0ms
(* 6.0 (* v v))

simplify697.0ms

Counts
857 → 857
Iterations

Useful iterations: done (626.0ms)

IterNodesCost
0113333595
done500030180

prune4.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0)))
0.0b
(* (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0))) (* 1.0 (pow 1.0 3))))
0.1b
(pow (* (* v v) (+ (* v v) 1.0)) 3)
0.2b
(* 6.0 (* v v))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
26×pow1 add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×frac-times
7×distribute-rgt-in distribute-lft-in flip3-+ associate-*r* flip-+
6×flip3-- sqrt-div flip--
4×associate-*l/ associate--l+ sqrt-prod add-log-exp
3×pow-unpow pow-pow pow-exp *-commutative rem-cube-cbrt unswap-sqr
2×cube-div sub-neg
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 115
Calls
4 calls:
260.0ms
(* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0)))
721.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0))) (* 1.0 (pow 1.0 3))))
41.0ms
(pow (* (* v v) (+ (* v v) 1.0)) 3)
17.0ms
(* 6.0 (* v v))

series682.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0)))
314.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* (* (* v v) (+ (* v v) 1.0)) (- (* (* v v) (+ (* v v) 1.0)) (* 1.0 1.0))) (* 1.0 (pow 1.0 3))))
124.0ms
(pow (* (* v v) (+ (* v v) 1.0)) 3)
34.0ms
(* 6.0 (* v v))

simplify3.1s

Counts
127 → 127
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02794084
18603678
241083114
done50003108

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03270
14270
done4270

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s7943×body80nan
874.0ms8000×body80valid