Details

Time bar (total: 22.0s)

sample106.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
34.0ms239×body80nan

simplify2.9s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:
23.0ms
(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
6.0ms
(- PI (* PI (* v v)))
13.0ms
(* PI (* v v))
7.0ms
(/ 4/3 (- PI (* PI (* v v))))

series789.0ms

Counts
4 → 12
Calls
4 calls:
526.0ms
(/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (fma -6 (* v v) 2)))
87.0ms
(- PI (* PI (* v v)))
35.0ms
(* PI (* v v))
141.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify2.5s

Counts
216 → 216
Iterations
IterNodes
done5004
22938
1914
0377

prune990.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
67×times-frac
56×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
15×swap-sqr associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×associate-/r* associate-/l*
7×cbrt-undiv flip3-- div-exp div-inv flip--
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 172
Calls
4 calls:
32.0ms
(* (/ 4/3 (- PI (* PI (* v v)))) (/ 4/3 (- PI (* PI (* v v)))))
6.0ms
(/ 4/3 (- PI (* PI (* v v))))
9.0ms
(/ 4/3 (- PI (* PI (* v v))))
13.0ms
(/ 4/3 (- PI (* PI (* v v))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (/ 4/3 (- PI (* PI (* v v)))) (/ 4/3 (- PI (* PI (* v v)))))
94.0ms
(/ 4/3 (- PI (* PI (* v v))))
116.0ms
(/ 4/3 (- PI (* PI (* v v))))
122.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify2.0s

Counts
184 → 184
Iterations
IterNodes
done5000
22426
1644
0195

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
552×add-sqr-sqrt
489×times-frac
480×sqrt-prod
244×*-un-lft-identity add-cube-cbrt
160×add-cbrt-cube add-exp-log
141×swap-sqr
129×pow1
85×associate-*r* associate-*l*
73×prod-exp cbrt-unprod
51×unswap-sqr
49×cbrt-undiv div-exp
38×pow-prod-up
25×pow-prod-down
24×pow-sqr
20×pow-plus
19×frac-times
18×associate-/r/
16×sqrt-undiv sqrt-div
15×pow2
13×associate-*l/ associate-*r/
9×flip3-- div-inv flip--
7×sqrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* rem-square-sqrt *-commutative associate-/l*
1×clear-num frac-2neg
Counts
4 → 573
Calls
4 calls:
122.0ms
(* (* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v)))))) (* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v)))))))
68.0ms
(* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))))
56.0ms
(* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))))
6.0ms
(/ 4/3 (- PI (* PI (* v v))))

series747.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v)))))) (* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v)))))))
192.0ms
(* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))))
170.0ms
(* (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))) (/ (sqrt 4/3) (sqrt (- PI (* PI (* v v))))))
105.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify3.4s

Counts
585 → 585
Iterations
IterNodes
done5006
24356
11328
0413

prune2.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.4s8000×body80valid
1.3s8125×body80nan