Details

Time bar (total: 6.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms228×body80nan

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

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

localize14.0ms

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)))))
0.1b
(* 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
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)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 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))))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
262.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
406.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09551468
146961282
250011281

prune278.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1323135
Fresh000
Picked101
Done000
Total1333136

Merged error: 0b

Counts
136 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt
44×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
30×sqrt-prod
18×associate-*r/ associate-/r/
14×pow1
12×prod-exp cbrt-unprod associate-/l*
10×cbrt-undiv flip3-- div-exp flip--
9×div-inv
7×associate-/r*
6×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×sub-neg frac-2neg sqrt-div clear-num *-commutative
1×associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 173
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series645.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
415.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
100.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
25.0ms
(* 6.0 (* v v))

simplify121.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
010002299
147042105
250012101

prune368.0ms

Filtered
185 candidates to 129 candidates (69.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1850185
Fresh022
Picked011
Done000
Total1853188

Merged error: 0b

Counts
188 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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 (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
1.0b
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
30×log-prod
24×associate-*r/ associate-/r/
23×add-cbrt-cube
18×flip3-- sqrt-div flip--
15×exp-sum prod-exp
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac cbrt-unprod
8×div-exp
6×associate-*l/
5×rem-log-exp
4×cbrt-undiv expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down div-inv associate-/l*
2×log-div log-pow
1×frac-2neg exp-diff associate-*r* clear-num associate-/r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 117
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
12.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
12.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 6.0 (* v v))
436.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
818.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
436.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
010391919
148641749
250011748

prune403.0ms

Filtered
129 candidates to 101 candidates (78.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done011
Total1293132

Merged error: 0b

Counts
132 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* v v) 3)
0.1b
(* 6.0 (* v v))
0.2b
(* (* v v) (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
38×add-exp-log add-cbrt-cube
37×pow-prod-up
27×pow-prod-down
23×pow-sqr
19×pow-plus
18×prod-exp cbrt-unprod
14×pow2
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r/ associate-/r/
6×flip3-- pow-pow sqrt-div flip--
4×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow times-frac associate-/l*
2×associate-*r* associate-*l/ pow-exp *-commutative rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num associate-/r* div-inv sqr-pow
Counts
4 → 149
Calls
4 calls:
4.0ms
(pow (* v v) 3)
5.0ms
(* 6.0 (* v v))
8.0ms
(* (* v v) (* v v))
18.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (* v v) 3)
24.0ms
(* 6.0 (* v v))
38.0ms
(* (* v v) (* v v))
328.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0722864
13321730
25001729

prune347.0ms

Filtered
161 candidates to 80 candidates (49.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done022
Total1613164

Merged error: 0b

Counts
164 → 3

regimes70.0ms

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
01910
11910

end0.0ms

sample759.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
288.0ms7857×body80nan