Details

Time bar (total: 19.1s)

sample50.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms259×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
41057
3256
289
134
016

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* PI (* v v)))
0.0b
(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.1b
(* PI (* v v))
1.0b
(/ 4/3 (- PI (* PI (* v v))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
97×add-sqr-sqrt
96×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
18×associate-/l*
16×add-cbrt-cube add-exp-log associate-/r/
9×pow1 associate-/r* 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-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
2×clear-num frac-2neg
1×sub-neg diff-log associate-*r* *-commutative unswap-sqr associate-/l/
Counts
4 → 204
Calls
4 calls:
13.0ms
(- PI (* PI (* v v)))
25.0ms
(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
18.0ms
(* PI (* v v))
18.0ms
(/ 4/3 (- PI (* PI (* v v))))

series745.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- PI (* PI (* v v)))
499.0ms
(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
42.0ms
(* PI (* v v))
125.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify2.2s

Counts
216 → 216
Iterations
IterNodes
done5001
22897
1914
0377

prune956.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* PI (* v v))
0.1b
(* PI (* v v))
1.0b
(/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v))))
1.0b
(cbrt (/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×associate-/r/
54×add-sqr-sqrt
52×*-un-lft-identity add-cube-cbrt
51×cbrt-prod
44×flip3-- flip--
28×frac-times
23×add-cbrt-cube add-exp-log
15×associate-/l*
14×pow1 associate-*l/ associate-*r/
9×div-inv
7×prod-exp cbrt-unprod
6×associate-*l* pow-prod-down
5×cbrt-undiv div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r*
2×associate-*r* *-commutative unswap-sqr
1×cbrt-div clear-num frac-2neg pow1/3 associate-/l/
Counts
4 → 192
Calls
4 calls:
21.0ms
(* PI (* v v))
23.0ms
(* PI (* v v))
35.0ms
(/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v))))
20.0ms
(cbrt (/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v)))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* PI (* v v))
34.0ms
(* PI (* v v))
247.0ms
(/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v))))
119.0ms
(cbrt (/ (/ 64/27 (* (- PI (* PI (* v v))) (- PI (* PI (* v v))))) (- PI (* PI (* v v)))))

simplify2.2s

Counts
204 → 204
Iterations
IterNodes
done5011
22641
1832
0364

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
316×times-frac
191×add-sqr-sqrt
170×*-un-lft-identity
168×add-cube-cbrt
96×sqrt-prod
95×associate-*r*
37×add-exp-log
28×associate-/r/
25×add-cbrt-cube
18×associate-/l*
16×div-inv
14×flip3-- div-exp flip--
12×pow1
9×associate-/r*
8×prod-exp unswap-sqr
7×cbrt-undiv
6×associate-*l* cbrt-unprod
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg *-commutative
1×associate-*r/ pow-flip inv-pow associate-/l/
Counts
4 → 314
Calls
4 calls:
15.0ms
(/ 1 (- PI (* PI (* v v))))
41.0ms
(/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
71.0ms
(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2))))
17.0ms
(* PI (* v v))

series952.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ 1 (- PI (* PI (* v v))))
365.0ms
(/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
457.0ms
(* 4/3 (/ (/ 1 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2))))
40.0ms
(* PI (* v v))

simplify2.9s

Counts
326 → 326
Iterations
IterNodes
done5033
23901
11278
0470

prune1.6s

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

simplify4.0ms

Iterations
IterNodes
done16
116
015

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s7787×body80nan
783.0ms8000×body80valid