Details

Time bar (total: 4.8s)

sample33.0ms

Algorithm
intervals
Results
11.0ms288×body80nan
10.0ms256×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

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))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 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))))))

series858.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
279.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
436.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify121.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
09551468
146961282
250011281

prune286.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1332135
Fresh000
Picked101
Done000
Total1342136

Merged error: 0b

Counts
136 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
22×associate-*r/
19×add-sqr-sqrt prod-exp cbrt-unprod
18×flip3-- sqrt-div flip--
16×pow1
15×cbrt-undiv div-exp
13×add-cube-cbrt *-un-lft-identity times-frac
12×frac-times
10×associate-*l*
8×associate-*r* associate-/r/
7×pow-prod-down associate-/l*
6×associate-*l/
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ difference-of-squares
Counts
4 → 136
Calls
4 calls:
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
9.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
14.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
6.0ms
(* 6.0 (* v v))

series836.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
211.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
421.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
25.0ms
(* 6.0 (* v v))

simplify115.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09951911
147061639
250011639

prune400.0ms

Filtered
148 candidates to 104 candidates (70.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done000
Total1482150

Merged error: 0b

Counts
150 → 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)))))

rewrite48.0ms

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×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u 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 → 179
Calls
4 calls:
8.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
9.0ms
(* 6.0 (* v v))
19.0ms
(* (/ 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)))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
25.0ms
(* 6.0 (* v v))
439.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
171.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010902055
150011762

prune335.0ms

Filtered
191 candidates to 111 candidates (58.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh000
Picked011
Done011
Total1912193

Merged error: 0b

Counts
193 → 2

regimes23.0ms

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
02615
12615

end0.0ms

sample756.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid
282.0ms7924×body80nan