Details

Time bar (total: 2.5s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms241×body80nan

simplify57.0ms

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

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))))))

rewrite42.0ms

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:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
9.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 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))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08881350
144081176
250021174

prune182.0ms

Filtered
78 candidates to 121 candidates (-55.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
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
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
15.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series71.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
35.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522672
150022532

prune311.0ms

Filtered
99 candidates to 166 candidates (-67.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh011
Picked011
Done000
Total1662168

Merged error: 0b

Counts
168 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
3.3b
(log (exp (* 6.0 (* v v))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
20×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
12×flip3-- sqrt-div flip--
10×add-cube-cbrt associate-*r*
9×pow-prod-down
8×frac-times associate-/r/
6×sqrt-prod
5×add-log-exp
4×cbrt-undiv div-exp associate-*l* associate-*l/ log-pow
3×log-prod times-frac associate-/l*
2×*-commutative distribute-lft-out--
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
6.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
2.0ms
(log (exp (* 6.0 (* v v))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
6.0ms
(log (exp (* 6.0 (* v v))))

simplify96.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08451449
139581273
250011267

prune215.0ms

Filtered
75 candidates to 113 candidates (-50.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115

Merged error: 0b

Counts
115 → 2

regimes101.0ms

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
02312
12312

end0.0ms

sample985.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid
350.0ms7796×body80nan

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