Details

Time bar (total: 21.3s)

sample97.0ms

Algorithm
intervals
Results
43.0ms295×body80nan
35.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
62811
51684
4612
3200
287
132
016

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
134×*-un-lft-identity
111×add-sqr-sqrt
109×add-cube-cbrt
60×sqrt-prod
25×distribute-rgt-out--
21×associate-/l*
16×add-cbrt-cube add-exp-log associate-/r/
10×pow1 associate-/r*
9×div-inv
8×flip3-- flip--
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative unswap-sqr associate-/l/
Counts
4 → 224
Calls
4 calls:
2.0ms
(sqrt (fma -6 (* v v) 2))
15.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
29.0ms
(* (* v v) PI)
13.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (fma -6 (* v v) 2))
458.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
40.0ms
(* (* v v) PI)
127.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify1.8s

Counts
236 → 236
Iterations
IterNodes
22885
11032
0424

prune2.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma -6 (* v v) 2))
0.2b
(* (* v v) PI)
1.0b
(/ 4/3 (- PI (log (exp (* (* v v) PI)))))
3.9b
(log (exp (* (* v v) PI)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
18×times-frac add-cube-cbrt
15×pow1
11×add-cbrt-cube add-exp-log
8×distribute-lft-out--
7×log-pow
6×associate-/r*
5×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u difference-of-squares
3×log-prod associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod associate-/l*
2×associate-/r/
1×cbrt-undiv rem-sqrt-square exp-prod clear-num frac-2neg sqrt-pow1 flip3-- exp-to-pow pow1/2 div-exp rem-log-exp associate-*l* *-commutative div-inv flip-- unswap-sqr
Counts
4 → 99
Calls
4 calls:
1.0ms
(sqrt (fma -6 (* v v) 2))
15.0ms
(* (* v v) PI)
10.0ms
(/ 4/3 (- PI (log (exp (* (* v v) PI)))))
4.0ms
(log (exp (* (* v v) PI)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (fma -6 (* v v) 2))
38.0ms
(* (* v v) PI)
118.0ms
(/ 4/3 (- PI (log (exp (* (* v v) PI)))))
31.0ms
(log (exp (* (* v v) PI)))

simplify2.4s

Counts
111 → 111
Iterations
IterNodes
33363
21114
1421
0190

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b
(* v PI)
0.3b
(* v PI)
0.3b
(* v PI)
1.0b
(pow PI 3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×pow1 add-cbrt-cube add-exp-log
9×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down cube-prod pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cube-mult pow-to-exp pow-pow unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 89
Calls
4 calls:
11.0ms
(* v PI)
6.0ms
(* v PI)
6.0ms
(* v PI)
2.0ms
(pow PI 3)

series129.0ms

Counts
4 → 10
Calls
4 calls:
41.0ms
(* v PI)
43.0ms
(* v PI)
44.0ms
(* v PI)
0.0ms
(pow PI 3)

simplify5.2s

Counts
99 → 99
Iterations
IterNodes
49125
31655
2392
1151
072

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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
215
115
014

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8000×body80valid
1.3s7944×body80nan