Details

Time bar (total: 6.3s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms257×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* 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))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv div-exp associate-*l* associate-*l/ add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 99
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* 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))))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
276.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
422.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08731328
141241178
250021175

prune259.0ms

Filtered
111 candidates to 77 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-prod
88×times-frac
80×add-sqr-sqrt
65×add-cube-cbrt *-un-lft-identity
52×add-exp-log add-cbrt-cube
43×associate-*r*
20×prod-exp cbrt-unprod
15×associate-*l*
14×cbrt-undiv div-exp
12×associate-/l*
11×pow1
8×associate-/r/
7×associate-/r*
6×unswap-sqr
5×associate-*r/
4×flip3-- sqrt-div pow-prod-down flip-- div-inv add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 200
Calls
4 calls:
8.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
30.0ms
(* 6.0 (* v v))
211.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
756.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011472816
150012486

prune509.0ms

Filtered
212 candidates to 138 candidates (65.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
145×sqrt-prod
129×add-sqr-sqrt
102×times-frac
71×*-un-lft-identity
70×add-exp-log add-cbrt-cube
57×add-cube-cbrt
56×difference-of-squares
42×sqr-pow
35×prod-exp cbrt-unprod
19×pow1
18×associate-*l*
16×associate-/r*
14×cbrt-undiv unpow-prod-down cube-prod div-exp
11×associate-*r/
10×sqrt-div
9×frac-times pow-prod-down
7×difference-cubes distribute-lft-out--
6×associate-/l*
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×associate-*r* associate-*l/ *-commutative
2×flip3-- flip-- div-inv unswap-sqr
1×sqrt-undiv frac-2neg clear-num
Counts
4 → 229
Calls
4 calls:
9.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
39.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
14.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

series1.2s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
657.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))))
542.0ms
(/ (sqrt 4.0) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))

simplify76.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012724850
150024280

prune912.0ms

Filtered
241 candidates to 148 candidates (61.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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
03628
13628

end0.0ms

sample790.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid
291.0ms8068×body80nan