Details

Time bar (total: 17.9s)

sample43.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms250×body80nan

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
13220
29020
326820
463320
5119120
6147820
7149620
done149620

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

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))))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
44.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
143.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
18.0ms
(* 6.0 (* v v))
113.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
368.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms
(* 6.0 (* v v))
626.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03303068
19322820
238392441
done50012432

prune509.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
50×prod-exp
46×add-sqr-sqrt
44×times-frac
37×add-cube-cbrt *-un-lft-identity
29×div-exp
25×associate-*r*
22×sqrt-prod
20×cbrt-unprod
17×pow1
14×cbrt-undiv
12×associate-*l*
9×rec-exp 1-exp
8×associate-/r/
7×pow-prod-down associate-/r*
6×associate-/l*
5×associate-*r/
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ inv-pow
Counts
4 → 179
Calls
4 calls:
62.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
20.0ms
(* 6.0 (* v v))
247.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
21.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
499.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
26.0ms
(* 6.0 (* v v))
573.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
222.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify2.1s

Counts
191 → 191
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03844226
110083765
238633261
done50003260

prune528.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
0.0b
(* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
60×frac-times associate-*r/
52×add-exp-log add-cbrt-cube
39×add-sqr-sqrt flip3-- flip--
36×*-un-lft-identity sqrt-div prod-diff
34×add-cube-cbrt
32×pow1
30×associate-*l/
29×prod-exp cbrt-unprod
26×associate-/r/
22×sqrt-prod
21×flip3-+ flip-+
20×distribute-rgt-in distribute-lft-in
19×pow-prod-down
13×associate-*r*
5×cbrt-undiv div-exp associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×sub-neg difference-of-squares
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 205
Calls
4 calls:
166.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
480.0ms
(* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
36.0ms
(* 6.0 (* v v))
397.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
557.0ms
(* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
46.0ms
(* 6.0 (* v v))
928.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.1s

Counts
217 → 217
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04867254
114165898
done50005100

prune911.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822
12422
done2422

end0.0ms

sample1.2s

Algorithm
intervals
Results
424.0ms8000×body80valid
399.0ms8080×body80nan