Details

Time bar (total: 18.5s)

sample82.0ms

Algorithm
intervals
Results
37.0ms259×body80nan
26.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
41116
3244
289
134
016

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* PI v) v)
0.2b
(* (* v v) -6)
0.2b
(* PI v)
1.0b
(/ 4/3 (- PI (* (* PI v) v)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
16×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×insert-posit16 add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
4 → 88
Calls
4 calls:
21.0ms
(* (* PI v) v)
38.0ms
(* (* v v) -6)
7.0ms
(* PI v)
9.0ms
(/ 4/3 (- PI (* (* PI v) v)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* PI v) v)
30.0ms
(* (* v v) -6)
34.0ms
(* PI v)
109.0ms
(/ 4/3 (- PI (* (* PI v) v)))

simplify3.0s

Counts
100 → 100
Iterations
IterNodes
done5043
34166
21218
1404
0161

prune491.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (- PI (* (* v v) PI)) 4/3))
0.0b
(/ (/ 1 (/ (- PI (* (* v v) PI)) 4/3)) (sqrt (+ 2 (* (* v v) -6))))
0.1b
(* (* v v) PI)
0.2b
(* (* v v) -6)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
1002×times-frac
525×*-un-lft-identity
452×add-sqr-sqrt
450×add-cube-cbrt
162×sqrt-prod
75×distribute-rgt-out--
56×associate-/l*
44×add-exp-log
34×div-inv
28×add-cbrt-cube
22×associate-/r*
21×div-exp
15×pow1
10×associate-/r/
9×cbrt-undiv
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×rec-exp 1-exp insert-posit16 add-log-exp
2×clear-num frac-2neg sqrt-div associate-*l* *-commutative unswap-sqr
1×flip3-+ flip-+ pow-flip inv-pow associate-/l/
Counts
4 → 530
Calls
4 calls:
16.0ms
(/ 1 (/ (- PI (* (* v v) PI)) 4/3))
37.0ms
(/ (/ 1 (/ (- PI (* (* v v) PI)) 4/3)) (sqrt (+ 2 (* (* v v) -6))))
36.0ms
(* (* v v) PI)
19.0ms
(* (* v v) -6)

series755.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ 1 (/ (- PI (* (* v v) PI)) 4/3))
518.0ms
(/ (/ 1 (/ (- PI (* (* v v) PI)) 4/3)) (sqrt (+ 2 (* (* v v) -6))))
32.0ms
(* (* v v) PI)
57.0ms
(* (* v v) -6)

simplify2.9s

Counts
542 → 542
Iterations
IterNodes
done5001
12161
0847

prune2.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
0.0b
(* (* 3 PI) (- 1 (* v v)))
0.2b
(* 6 (* v v))
1.0b
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
23×pow1
18×prod-exp associate-*r/ cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div associate-*r* pow-prod-down
11×*-un-lft-identity
10×add-cube-cbrt
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ insert-posit16 add-log-exp
3×times-frac *-commutative sqrt-prod associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
1×clear-num associate-/r* frac-2neg div-inv unswap-sqr
Counts
4 → 114
Calls
4 calls:
113.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
52.0ms
(* (* 3 PI) (- 1 (* v v)))
33.0ms
(* 6 (* v v))
79.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
141.0ms
(* (* 3 PI) (- 1 (* v v)))
36.0ms
(* 6 (* v v))
488.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify2.3s

Counts
126 → 126
Iterations
IterNodes
done5018
23343
1929
0306

prune581.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.4s8000×body80valid
701.0ms7787×body80nan