Details

Time bar (total: 9.2s)

sample91.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
35.0ms228×body80nan

simplify695.0ms

Counts
1 → 1
Iterations
IterNodes
done2065
41116
3244
289
134
016

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* (* v v) PI))
0.1b
(* v (* v 6))
0.2b
(* (* v v) PI)
1.0b
(/ 4/3 (- PI (* (* v v) PI)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×add-cube-cbrt
14×pow1
12×times-frac
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×distribute-rgt-out--
4×associate-/r* associate-*r* associate-*l* insert-posit16
3×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 → 87
Calls
4 calls:
4.0ms
(- PI (* (* v v) PI))
28.0ms
(* v (* v 6))
28.0ms
(* (* v v) PI)
13.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- PI (* (* v v) PI))
34.0ms
(* v (* v 6))
35.0ms
(* (* v v) PI)
88.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify864.0ms

Counts
99 → 99
Iterations
IterNodes
done2002
21305
1413
0161

prune470.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
46×times-frac
39×*-un-lft-identity
32×add-exp-log
30×add-cube-cbrt
22×add-cbrt-cube associate-*r*
16×associate-*l*
14×difference-of-squares
11×prod-exp
10×pow1
9×div-exp
7×cbrt-unprod
6×unswap-sqr
5×cbrt-undiv associate-/r*
4×pow-prod-down associate-/r/
3×insert-posit16 div-inv associate-/l* add-log-exp
2×rec-exp flip3-- 1-exp *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 122
Calls
3 calls:
13.0ms
(/ 4/3 (- 1 (* v v)))
40.0ms
(* (/ 1 PI) (/ 4/3 (- 1 (* v v))))
14.0ms
(* v (* v 6))

series284.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 4/3 (- 1 (* v v)))
171.0ms
(* (/ 1 PI) (/ 4/3 (- 1 (* v v))))
51.0ms
(* v (* v 6))

simplify507.0ms

Counts
131 → 131
Iterations
IterNodes
done2000
1667
0236

prune551.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- PI (* (* v v) PI)) (cbrt 4/3))
0.1b
(* v (* v 6))
0.2b
(* (* v v) PI)
1.0b
(/ (* (cbrt 4/3) (cbrt 4/3)) (/ (- PI (* (* v v) PI)) (cbrt 4/3)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
72×*-un-lft-identity
54×add-sqr-sqrt
53×add-cube-cbrt
39×cbrt-prod
34×associate-/r*
28×add-exp-log
21×add-cbrt-cube
19×distribute-rgt-out--
14×pow1
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down
5×associate-/l*
4×associate-*r* associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg *-commutative associate-/l/
1×flip3-- div-sub associate-/r/ flip-- unswap-sqr
Counts
4 → 166
Calls
4 calls:
21.0ms
(/ (- PI (* (* v v) PI)) (cbrt 4/3))
19.0ms
(* v (* v 6))
14.0ms
(* (* v v) PI)
22.0ms
(/ (* (cbrt 4/3) (cbrt 4/3)) (/ (- PI (* (* v v) PI)) (cbrt 4/3)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(/ (- PI (* (* v v) PI)) (cbrt 4/3))
35.0ms
(* v (* v 6))
33.0ms
(* (* v v) PI)
170.0ms
(/ (* (cbrt 4/3) (cbrt 4/3)) (/ (- PI (* (* v v) PI)) (cbrt 4/3)))

simplify611.0ms

Counts
178 → 178
Iterations
IterNodes
done2001
1792
0274

prune976.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s7787×body80nan
1.3s8000×body80valid