Details

Time bar (total: 19.9s)

sample56.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
21.0ms248×body80nan

simplify1.6s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* PI v) v)
0.1b
(* (* v v) -6)
0.3b
(* PI v)
1.0b
(/ 4/3 (- PI (* (* PI v) v)))

rewrite60.0ms

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:
31.0ms
(* (* PI v) v)
14.0ms
(* (* v v) -6)
6.0ms
(* PI v)
7.0ms
(/ 4/3 (- PI (* (* PI v) v)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* PI v) v)
28.0ms
(* (* v v) -6)
24.0ms
(* PI v)
150.0ms
(/ 4/3 (- PI (* (* PI v) v)))

simplify3.0s

Counts
100 → 100
Iterations
IterNodes
done5043
34166
21218
1404
0161

prune410.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* (sqrt PI) v))
1.0b
(/ 4/3 (- PI (* (* (sqrt PI) (* (sqrt PI) v)) v)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
11×pow1 add-cbrt-cube add-exp-log
9×times-frac sqrt-prod
6×associate-*l*
4×insert-posit16 add-log-exp
3×associate-/r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp associate-*r* *-commutative div-inv flip--
Counts
4 → 80
Calls
4 calls:
33.0ms
(* (sqrt PI) (* (sqrt PI) v))
7.0ms
(/ 4/3 (- PI (* (* (sqrt PI) (* (sqrt PI) v)) v)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series171.0ms

Counts
4 → 8
Calls
4 calls:
44.0ms
(* (sqrt PI) (* (sqrt PI) v))
127.0ms
(/ 4/3 (- PI (* (* (sqrt PI) (* (sqrt PI) v)) v)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify3.6s

Counts
88 → 88
Iterations
IterNodes
done5036
34669
21024
1316
0129

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
23×add-cbrt-cube
14×pow1
12×add-sqr-sqrt
10×*-un-lft-identity prod-exp add-cube-cbrt
8×cbrt-unprod
7×div-exp
6×associate-/r* times-frac pow-prod-down sqrt-prod add-log-exp
4×cbrt-undiv associate-*r* associate-*l* insert-posit16
2×flip3-+ sqrt-div associate-/r/ *-commutative flip-+ unswap-sqr associate-/l/
1×+-commutative rec-exp clear-num sum-log frac-2neg 1-exp associate-*r/ un-div-inv div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
32.0ms
(/ (* 4/3 (/ 1 (- PI (* PI (* v v))))) (sqrt (+ 2 (* (* v v) -6))))
11.0ms
(+ 2 (* (* v v) -6))
29.0ms
(* (* v v) -6)
29.0ms
(* PI (* v v))

series637.0ms

Counts
4 → 12
Calls
4 calls:
495.0ms
(/ (* 4/3 (/ 1 (- PI (* PI (* v v))))) (sqrt (+ 2 (* (* v v) -6))))
63.0ms
(+ 2 (* (* v v) -6))
36.0ms
(* (* v v) -6)
43.0ms
(* PI (* v v))

simplify2.0s

Counts
100 → 100
Iterations
IterNodes
done5000
22375
1631
0229

prune395.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
104×add-sqr-sqrt
100×associate-*r*
82×*-un-lft-identity
80×add-cube-cbrt
48×sqrt-prod
29×add-exp-log
23×add-cbrt-cube
16×pow1
14×associate-/r/
11×prod-exp
9×cbrt-unprod unswap-sqr
7×associate-*l* pow-prod-down div-inv
6×flip3-- div-exp flip-- add-log-exp
4×insert-posit16
3×cbrt-undiv *-commutative
2×flip3-+ sqrt-div flip-+
1×+-commutative rec-exp sum-log 1-exp associate-*r/
Counts
4 → 177
Calls
4 calls:
49.0ms
(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))
5.0ms
(+ 2 (* (* v v) -6))
18.0ms
(* (* v v) -6)
14.0ms
(* PI (* v v))

series639.0ms

Counts
4 → 12
Calls
4 calls:
465.0ms
(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))
87.0ms
(+ 2 (* (* v v) -6))
29.0ms
(* (* v v) -6)
58.0ms
(* PI (* v v))

simplify2.4s

Counts
189 → 189
Iterations
IterNodes
done5030
23476
11110
0387

prune724.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.3s8000×body80valid
1.2s8112×body80nan