Details

Time bar (total: 4.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms288×body80nan
9.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series885.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
272.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
420.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08881350
144081176
250021174

prune238.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
50×prod-exp
46×add-sqr-sqrt
44×times-frac
37×add-cube-cbrt *-un-lft-identity
29×div-exp
25×associate-*r*
22×sqrt-prod
20×cbrt-unprod
17×pow1
14×cbrt-undiv
12×associate-*l*
9×rec-exp 1-exp
8×associate-/r/
7×pow-prod-down associate-/r*
6×associate-/l*
5×associate-*r/
4×flip3-- sqrt-div flip-- div-inv add-log-exp unswap-sqr
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ inv-pow
Counts
4 → 171
Calls
4 calls:
7.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))
18.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))
433.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
163.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010602014
150011721

prune300.0ms

Filtered
183 candidates to 103 candidates (56.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1830183
Fresh011
Picked011
Done000
Total1832185

Merged error: 0b

Counts
185 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
129×pow1
44×add-exp-log add-cbrt-cube
36×pow-prod-up
32×pow-prod-down
23×prod-exp cbrt-unprod
22×pow-sqr
18×pow-plus
16×associate-*r/
13×pow2
12×flip3-- sqrt-div flip--
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×frac-times associate-*r* associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg swap-sqr clear-num associate-/r* div-inv
Counts
4 → 147
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
9.0ms
(* (* v v) (* v v))
5.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* (* v v) (* v v))
24.0ms
(* 6.0 (* v v))
376.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08751512
140491288
250011286

prune277.0ms

Filtered
159 candidates to 78 candidates (49.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done011
Total1592161

Merged error: 0b

Counts
161 → 2

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411
12411

end0.0ms

sample714.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
260.0ms7924×body80nan