Details

Time bar (total: 15.4s)

sample63.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
18.0ms208×body80nan

simplify1.7s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)))

rewrite86.0ms

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:
33.0ms
(* (* PI v) v)
34.0ms
(* (* v v) -6)
7.0ms
(* PI v)
9.0ms
(/ 4/3 (- PI (* (* PI v) v)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* PI v) v)
49.0ms
(* (* v v) -6)
43.0ms
(* PI v)
120.0ms
(/ 4/3 (- PI (* (* PI v) v)))

simplify3.5s

Counts
100 → 100
Iterations
IterNodes
done5043
34166
21218
1404
0161

prune451.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.4s

Algorithm
rewrite-expression-head
Rules
36×pow1
25×add-sqr-sqrt
24×associate-*l*
21×add-cbrt-cube add-exp-log
16×*-un-lft-identity add-cube-cbrt
10×times-frac pow-prod-up
9×prod-exp cbrt-unprod
8×associate-*r* pow-prod-down
5×unswap-sqr
4×*-commutative insert-posit16 add-log-exp
2×pow2 frac-times flip3-+ pow-plus cube-unmult associate-*r/ associate-/r/ pow-sqr flip-+
1×distribute-rgt-in cbrt-undiv distribute-lft-in flip3-- div-exp associate-*l/ div-inv flip--
Counts
4 → 110
Calls
4 calls:
7.0ms
(* PI v)
3.4s
(* (/ 4/3 (- (* PI (* PI PI)) (* (* v v) (* (* PI (* PI PI)) (* (* v v) (* v v)))))) (+ (* PI PI) (+ (* (* (* PI v) v) (* (* PI v) v)) (* PI (* (* PI v) v)))))
31.0ms
(* PI (* PI PI))
30.0ms
(* PI (* PI PI))

series318.0ms

Counts
4 → 8
Calls
4 calls:
22.0ms
(* PI v)
295.0ms
(* (/ 4/3 (- (* PI (* PI PI)) (* (* v v) (* (* PI (* PI PI)) (* (* v v) (* v v)))))) (+ (* PI PI) (+ (* (* (* PI v) v) (* (* PI v) v)) (* PI (* (* PI v) v)))))
0.0ms
(* PI (* PI PI))
0.0ms
(* PI (* PI PI))

simplify2.6s

Counts
118 → 118
Iterations
IterNodes
done5001
23264
1656
0189

prune657.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done35
135
024

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8000×body80valid
826.0ms8095×body80nan