Details

Time bar (total: 21.5s)

sample59.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
16.0ms250×body80nan

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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))))))

rewrite317.0ms

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:
39.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
130.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
105.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
335.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* 6.0 (* v v))
597.0ms
(/ 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 (888.0ms)

IterNodesCost
03072810
18642584
236182224
done50002224

prune428.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite930.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
39×times-frac
32×distribute-rgt-in distribute-lft-in
28×associate-*r/
26×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
23×pow1
18×prod-exp cbrt-unprod
12×sub-neg flip3-- sqrt-div pow-prod-down flip--
9×cbrt-undiv div-exp associate-*l* associate-/r* associate-/r/
8×frac-times
5×div-inv
4×flip3-+ associate-*l/ flip-+ add-log-exp
3×associate-*r* *-commutative associate-/l*
1×frac-2neg clear-num unswap-sqr
Counts
4 → 158
Calls
4 calls:
21.0ms
(* 6.0 (* v v))
443.0ms
(/ 4.0 (/ (* PI (* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
124.0ms
(* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
334.0ms
(* PI (* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 6.0 (* v v))
651.0ms
(/ 4.0 (/ (* PI (* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
299.0ms
(* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
314.0ms
(* PI (* 3.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))))

simplify2.7s

Counts
170 → 170
Iterations

Useful iterations: 2 (994.0ms)

IterNodesCost
04126650
111195911
248805258
done50025258

prune950.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
342×times-frac
139×add-sqr-sqrt
138×add-cube-cbrt *-un-lft-identity
50×add-exp-log add-cbrt-cube
42×associate-/r*
36×sqrt-div sqrt-prod
33×associate-/r/
32×distribute-rgt-in distribute-lft-in
28×associate-*r/
23×pow1
18×prod-exp cbrt-unprod
17×div-inv
16×flip3-+ flip-+
15×cbrt-undiv div-exp
12×sub-neg flip3-- pow-prod-down flip--
9×associate-*l*
8×frac-times
4×associate-*l/ add-log-exp
3×associate-*r* *-commutative associate-/l*
1×frac-2neg clear-num unswap-sqr
Counts
4 → 292
Calls
4 calls:
34.0ms
(* 6.0 (* v v))
1.1s
(/ 4.0 (/ (/ (* PI (* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6))))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
158.0ms
(* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6))))
516.0ms
(* PI (* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 6.0 (* v v))
723.0ms
(/ 4.0 (/ (/ (* PI (* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6))))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
901.0ms
(* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6))))
1.0s
(* PI (* 3.0 (* (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (- (pow 1.0 3) (pow v 6)))))

simplify1.3s

Counts
304 → 304
Iterations

Useful iterations: done (1.3s)

IterNodesCost
075825181
1201020672
done500019699

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
03569
14569
done4569

end0.0ms

sample1.1s

Algorithm
intervals
Results
376.0ms8000×body80valid
344.0ms8080×body80nan