Details

Time bar (total: 17.6s)

sample55.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
17.0ms251×body80nan

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5001
63736
51812
4764
3271
290
132
016

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

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))))))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
23×pow1
18×prod-exp associate-*r/ cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×*-un-lft-identity sqrt-div pow-prod-down add-cube-cbrt
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×expm1-log1p-u cbrt-undiv div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac *-commutative sqrt-prod associate-/l*
2×sub-neg
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
23.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
89.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
91.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
344.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
47.0ms
(* 6.0 (* v v))
546.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.6s

Counts
135 → 135
Iterations
IterNodes
done5000
11007
0332

prune806.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
48×add-cbrt-cube add-exp-log
39×times-frac
30×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
23×pow1
20×prod-exp cbrt-unprod
12×distribute-rgt-in distribute-lft-in pow-prod-down
11×cbrt-undiv div-exp
10×associate-*l/
9×associate-/r* associate-/r/
8×sqrt-div associate-*l* associate-*r/
7×flip3-- associate-*r* flip--
5×div-inv
4×expm1-log1p-u frac-times sub-neg flip3-+ prod-diff sqrt-prod flip-+ log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×unswap-sqr
1×clear-num frac-2neg
Counts
4 → 154
Calls
4 calls:
17.0ms
(* (* v 6.0) v)
16.0ms
(* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0)
566.0ms
(/ 4.0 (/ (* (* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0) (* PI (- (* (* 1.0 1.0) 1.0) (* (* v v) (* (* v v) (* v v)))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
434.0ms
(* (* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0) (* PI (- (* (* 1.0 1.0) 1.0) (* (* v v) (* (* v v) (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* v 6.0) v)
185.0ms
(* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0)
547.0ms
(/ 4.0 (/ (* (* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0) (* PI (- (* (* 1.0 1.0) 1.0) (* (* v v) (* (* v v) (* v v)))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))
302.0ms
(* (* (sqrt (- 2.0 (* (* v 6.0) v))) 3.0) (* PI (- (* (* 1.0 1.0) 1.0) (* (* v v) (* (* v v) (* v v))))))

simplify2.3s

Counts
166 → 166
Iterations
IterNodes
done5001
11409
0438

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s8000×body80valid
897.0ms8164×body80nan