Details

Time bar (total: 22.3s)

sample62.0ms

Algorithm
intervals
Results
24.0ms284×body80nan
23.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
62626
51588
4587
3187
289
134
016

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cbrt-cube add-exp-log
14×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac
6×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
4×insert-posit16
3×associate-/r* associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- unswap-sqr
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
4 → 83
Calls
4 calls:
11.0ms
(- PI (* PI (* v v)))
27.0ms
(* PI (* v v))
18.0ms
(* 6 (* v v))
7.0ms
(/ 4/3 (- PI (* PI (* v v))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- PI (* PI (* v v)))
47.0ms
(* PI (* v v))
47.0ms
(* 6 (* v v))
82.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify1.8s

Counts
95 → 95
Iterations
IterNodes
33978
2991
1345
0148

prune849.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×times-frac
34×*-un-lft-identity add-cube-cbrt
28×add-exp-log
26×associate-*r*
22×cbrt-prod
21×add-cbrt-cube
19×pow1
12×prod-exp cbrt-unprod
9×pow-prod-down
7×associate-*l*
6×associate-/l*
5×unswap-sqr
4×associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* div-exp *-commutative
2×flip3-- div-inv flip--
1×clear-num frac-2neg associate-*r/
Counts
4 → 130
Calls
4 calls:
26.0ms
(* PI (* v v))
21.0ms
(* 6 (* v v))
7.0ms
(/ (cbrt 4/3) (- PI (* PI (* v v))))
37.0ms
(* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* PI (* v v)))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* PI (* v v))
41.0ms
(* 6 (* v v))
134.0ms
(/ (cbrt 4/3) (- PI (* PI (* v v))))
169.0ms
(* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* PI (* v v)))))

simplify678.0ms

Counts
142 → 142
Iterations
IterNodes
22195
1627
0219

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.9s

Algorithm
rewrite-expression-head
Rules
50×times-frac
47×add-sqr-sqrt
38×*-un-lft-identity add-cube-cbrt
37×add-exp-log
34×associate-*l*
32×pow1
28×cbrt-prod
27×add-cbrt-cube
18×prod-exp cbrt-unprod
14×cube-unmult
13×difference-cubes pow3
12×pow-prod-down
9×associate-*r/
6×associate-/l*
5×distribute-rgt-in distribute-lft-in associate-*r* pow-prod-up
4×frac-times cbrt-undiv associate-/r* flip3-+ div-exp associate-/r/ flip-+ insert-posit16 add-log-exp unswap-sqr
3×*-commutative
2×flip3-- associate-*l/ div-inv flip--
1×pow2 clear-num frac-2neg pow-plus pow-sqr
Counts
4 → 167
Calls
4 calls:
1.4s
(* (* (cbrt 4/3) (cbrt 4/3)) (* (/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))))) (+ (* PI PI) (+ (* (* PI (* v v)) (* PI (* v v))) (* PI (* PI (* v v)))))))
1.9s
(* (/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))))) (+ (* PI PI) (+ (* (* PI (* v v)) (* PI (* v v))) (* PI (* PI (* v v))))))
586.0ms
(/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))
13.0ms
(* PI (* PI PI))

series1.4s

Counts
4 → 10
Calls
4 calls:
440.0ms
(* (* (cbrt 4/3) (cbrt 4/3)) (* (/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))))) (+ (* PI PI) (+ (* (* PI (* v v)) (* PI (* v v))) (* PI (* PI (* v v)))))))
350.0ms
(* (/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v))))) (+ (* PI PI) (+ (* (* PI (* v v)) (* PI (* v v))) (* PI (* PI (* v v))))))
624.0ms
(/ (cbrt 4/3) (- (* PI (* PI PI)) (* (* (* v (* PI v)) (* v (* PI v))) (* v (* PI v)))))
0.0ms
(* PI (* PI PI))

simplify2.5s

Counts
177 → 177
Iterations
IterNodes
25367
11030
0308

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
238
138
027

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8000×body80valid
1.2s8083×body80nan