Details

Time bar (total: 2.7s)

sample40.0ms

Algorithm
intervals
Results
16.0ms257×body80nan
13.0ms256×body80valid

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

Filtered
1 candidates to 0 candidates (100.0%)
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))))))

rewrite39.0ms

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:
6.0ms
(* (* 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))))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 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: 1 (22.0ms)

IterNodesCost
08881350
144081176
250021176

prune179.0ms

Filtered
121 candidates to 79 candidates (34.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
24×associate-*r/
20×add-cbrt-cube
19×add-exp-log
18×add-sqr-sqrt flip3-- sqrt-div flip--
17×add-cube-cbrt *-un-lft-identity
16×log-div exp-diff
15×pow-prod-down
12×frac-times times-frac
9×prod-exp cbrt-unprod
8×associate-/r/
7×exp-prod associate-*r*
6×associate-*l/
5×log-prod exp-sum
4×associate-*l* associate-/r* log-pow add-log-exp
3×sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv frac-2neg div-exp clear-num div-inv rem-exp-log unswap-sqr
Counts
4 → 114
Calls
4 calls:
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
11.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
13.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08621832
139731632
250021628

prune263.0ms

Filtered
126 candidates to 94 candidates (25.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done000
Total1262128

Merged error: 0b

Counts
128 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times associate-*r/
52×add-exp-log add-cbrt-cube
39×flip3-- flip--
36×sqrt-div
32×pow1
30×associate-*l/
29×prod-exp cbrt-unprod
26×associate-/r/
21×flip3-+ flip-+
19×pow-prod-down
15×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l*
4×sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 161
Calls
4 calls:
19.0ms
(* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
14.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
6.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
15.0ms
(* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
3.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v)) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012632801
150012507

prune482.0ms

Filtered
173 candidates to 134 candidates (22.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done011
Total1732175

Merged error: 0b

Counts
175 → 2

regimes71.0ms

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
02212
12212

end0.0ms

sample1.0s

Algorithm
intervals
Results
403.0ms8000×body80valid
391.0ms7969×body80nan

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