Details

Time bar (total: 2.3s)

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms117×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
13×flip3-- flip--
12×sqrt-div
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×add-log-exp
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×times-frac sqrt-prod associate-/l*
2×*-commutative
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(- 2.0 (* 6.0 (* v v)))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(- 2.0 (* 6.0 (* v v)))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08361265
139441110
250021108

prune166.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh000
Picked101
Done000
Total1072109

Merged error: 0b

Counts
109 → 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
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite45.0ms

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))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
19.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))
8.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010602010
150011717

prune240.0ms

Filtered
102 candidates to 183 candidates (-79.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1830183
Fresh011
Picked011
Done000
Total1832185

Merged error: 0b

Counts
185 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
16×associate-*r/ associate-/r/ log-pow
15×exp-prod
13×flip3-- flip--
12×sqrt-div
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×prod-exp cbrt-unprod
8×frac-times
6×times-frac add-log-exp
4×cbrt-undiv div-exp associate-*l/
3×log-prod associate-*l* pow-prod-down associate-/l*
2×div-inv
1×sub-neg frac-2neg diff-log rem-log-exp associate-*r* clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
3.0ms
(- 2.0 (* 6.0 (* v v)))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- 2.0 (* 6.0 (* v v)))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
17.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06941215
130791070
250011070

prune193.0ms

Filtered
77 candidates to 103 candidates (-33.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes289.0ms

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

sample796.0ms

Algorithm
intervals
Results
409.0ms8000×body80valid
189.0ms4099×body80nan

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