Details

Time bar (total: 18.9s)

sample112.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
46.0ms295×body80nan

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
62456
51446
4551
3188
287
132
016

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* PI v))
0.2b
(* 6 (* v v))
0.3b
(* PI v)
1.0b
(/ 4/3 (- PI (* v (* PI v))))

rewrite44.0ms

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-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
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:
17.0ms
(* v (* PI v))
13.0ms
(* 6 (* v v))
5.0ms
(* PI v)
7.0ms
(/ 4/3 (- PI (* v (* PI v))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* v (* PI v))
42.0ms
(* 6 (* v v))
36.0ms
(* PI v)
112.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify2.5s

Counts
100 → 100
Iterations
IterNodes
34005
21019
1375
0157

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6 (* v v))
0.3b
(* PI v)
1.0b
(/ 4/3 (- PI (log (exp (* v (* PI v))))))
3.9b
(log (exp (* v (* PI v))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
30×add-sqr-sqrt
19×add-cube-cbrt
18×times-frac
16×pow1
13×add-cbrt-cube add-exp-log
8×distribute-lft-out--
7×log-pow
6×associate-/r* associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 difference-of-squares
3×log-prod associate-/l*
2×associate-/r/ *-commutative unswap-sqr
1×cbrt-undiv exp-prod clear-num frac-2neg flip3-- exp-to-pow div-exp rem-log-exp div-inv flip--
Counts
4 → 96
Calls
4 calls:
26.0ms
(* 6 (* v v))
14.0ms
(* PI v)
10.0ms
(/ 4/3 (- PI (log (exp (* v (* PI v))))))
4.0ms
(log (exp (* v (* PI v))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 6 (* v v))
28.0ms
(* PI v)
106.0ms
(/ 4/3 (- PI (log (exp (* v (* PI v))))))
39.0ms
(log (exp (* v (* PI v))))

simplify1.3s

Counts
108 → 108
Iterations
IterNodes
32744
2893
1358
0171

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
3.9b
(log (exp (* v (* PI v))))
3.9b
(log (exp (* v (* PI v))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cube-cbrt
6×log-prod log-pow sqrt-prod add-log-exp
4×add-cbrt-cube add-exp-log insert-posit16
2×rem-sqrt-square exp-prod sqrt-pow1 exp-to-pow pow1/2 rem-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
9.0ms
(log (exp (* v (* PI v))))
9.0ms
(log (exp (* v (* PI v))))

series109.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
50.0ms
(log (exp (* v (* PI v))))
59.0ms
(log (exp (* v (* PI v))))

simplify1.2s

Counts
66 → 66
Iterations
IterNodes
52250
4680
3260
293
160
045

prune915.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv div-exp associate-*l* associate-*l/ insert-posit16 add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
6.0ms
(sqrt (- 2 (* 6 (* v v))))
108.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
29.0ms
(* 6 (* v v))
94.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series909.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- 2 (* 6 (* v v))))
299.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
29.0ms
(* 6 (* v v))
486.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify2.2s

Counts
115 → 115
Iterations
IterNodes
23203
1892
0302

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
224
124
020

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s7944×body80nan
1.2s8000×body80valid