Details

Time bar (total: 23.8s)

sample79.0ms

Algorithm
intervals
Results
31.0ms283×body80nan
29.0ms256×body80valid

simplify627.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
627.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 (- PI (* v (* PI v))))
0.2b
(* PI v)
0.1b
(* v (* PI v))
0.0b
(- PI (* v (* PI v)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
9×times-frac
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg prod-diff associate-/l*
2×flip3-- associate-/r/ *-commutative flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv unswap-sqr
Counts
4 → 95
Calls
4 calls:
Slowest
33.0ms
(* v (* PI v))
7.0ms
(/ 4/3 (- PI (* v (* PI v))))
7.0ms
(- PI (* v (* PI v)))
6.0ms
(* PI v)

series238.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(/ 4/3 (- PI (* v (* PI v))))
77.0ms
(- PI (* v (* PI v)))
32.0ms
(* PI v)
30.0ms
(* v (* PI v))

simplify5.3s

Counts
65 → 107
Calls
65 calls:
Slowest
487.0ms
(+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))
404.0ms
(- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))))
340.0ms
(- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))))
338.0ms
(/ (exp PI) (exp (* v (* PI v))))
333.0ms
(+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* v (* PI v)))))
0.2b
(* PI v)
0.1b
(* v (* PI v))
0.0b
(/ (sqrt 4/3) (- PI (* v (* PI v))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
40×times-frac
37×*-un-lft-identity add-cube-cbrt
29×sqrt-prod
28×associate-*r*
18×add-cbrt-cube add-exp-log
13×pow1
12×associate-*l*
7×unswap-sqr
6×prod-exp cbrt-unprod associate-/l*
5×pow-prod-down
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* *-commutative
2×cbrt-undiv flip3-- div-exp div-inv flip--
1×clear-num frac-2neg associate-*r/
Counts
4 → 139
Calls
4 calls:
Slowest
35.0ms
(* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* v (* PI v)))))
31.0ms
(* v (* PI v))
15.0ms
(/ (sqrt 4/3) (- PI (* v (* PI v))))
10.0ms
(* PI v)

series428.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
219.0ms
(* (sqrt 4/3) (/ (sqrt 4/3) (- PI (* v (* PI v)))))
140.0ms
(/ (sqrt 4/3) (- PI (* v (* PI v))))
37.0ms
(* v (* PI v))
31.0ms
(* PI v)

simplify10.7s

Counts
124 → 151
Calls
124 calls:
Slowest
510.0ms
(+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))
450.0ms
(+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))
379.0ms
(+ (/ (sqrt 4/3) PI) (+ (/ (* (sqrt 4/3) (pow v 2)) PI) (/ (* (sqrt 4/3) (pow v 4)) PI)))
352.0ms
(* (* (* PI PI) PI) (* (* v v) v))
336.0ms
(+ (/ (* (pow (sqrt 4/3) 2) (pow v 2)) PI) (+ (/ (pow (sqrt 4/3) 2) PI) (/ (* (pow (sqrt 4/3) 2) (pow v 4)) PI)))

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8121×body80nan