Details

Time bar (total: 19.7s)

sample69.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
23.0ms247×body80nan

simplify2.7s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
136×*-un-lft-identity
111×add-sqr-sqrt
110×add-cube-cbrt
57×sqrt-prod
26×distribute-rgt-out--
21×associate-/l*
16×add-cbrt-cube add-exp-log associate-/r/
10×associate-/r*
9×pow1 flip3-- div-inv flip--
6×add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* prod-diff pow-prod-down prod-exp cbrt-unprod
2×clear-num frac-2neg
1×sub-neg diff-log associate-*l* *-commutative unswap-sqr associate-/l/
Counts
4 → 230
Calls
4 calls:
19.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
8.0ms
(- PI (* (* v v) PI))
18.0ms
(* (* v v) PI)
16.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series685.0ms

Counts
4 → 12
Calls
4 calls:
437.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
92.0ms
(- PI (* (* v v) PI))
45.0ms
(* (* v v) PI)
111.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify1.6s

Counts
242 → 242
Iterations
IterNodes
22747
11017
0415

prune2.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
26×add-sqr-sqrt
24×sqrt-prod
23×add-cube-cbrt
21×times-frac
11×pow1 add-cbrt-cube add-exp-log
7×associate-/r*
6×distribute-rgt-out-- sqrt-div
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*r* pow-prod-down prod-exp cbrt-unprod flip-- associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp associate-*l* *-commutative div-inv unswap-sqr
Counts
4 → 108
Calls
4 calls:
34.0ms
(* (* v v) PI)
11.0ms
(sqrt (- PI (* (* v v) PI)))
10.0ms
(sqrt (- PI (* (* v v) PI)))
16.0ms
(/ 4/3 (sqrt (- PI (* (* v v) PI))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* v v) PI)
108.0ms
(sqrt (- PI (* (* v v) PI)))
94.0ms
(sqrt (- PI (* (* v v) PI)))
352.0ms
(/ 4/3 (sqrt (- PI (* (* v v) PI))))

simplify2.2s

Counts
120 → 120
Iterations
IterNodes
34767
21250
1461
0195

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cbrt 4/3) (- 1 (* v v)))
0.0b
(/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.0b
(* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
74×add-sqr-sqrt
58×*-un-lft-identity
55×add-exp-log
45×add-cube-cbrt
40×add-cbrt-cube
36×associate-*r*
35×cbrt-prod
26×difference-of-squares
22×cbrt-undiv div-exp
16×prod-exp cbrt-unprod
11×associate-/r*
7×associate-*l* associate-/l*
6×sqrt-prod unswap-sqr
5×pow1
4×associate-/r/ div-inv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×frac-times clear-num frac-2neg flip3-- associate-*l/ associate-*r/ flip--
1×pow-prod-down *-commutative
Counts
3 → 177
Calls
3 calls:
15.0ms
(/ (cbrt 4/3) (- 1 (* v v)))
40.0ms
(/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
49.0ms
(* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v))))

series887.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (cbrt 4/3) (- 1 (* v v)))
543.0ms
(/ (* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
211.0ms
(* (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v))))

simplify1.6s

Counts
186 → 186
Iterations
IterNodes
24193
11057
0361

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
218
118
016

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s7984×body80nan