Details

Time bar (total: 6.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms191×body80nan

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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))))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×times-frac sqrt-prod associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
34.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series748.0ms

Counts
3 → 9
Calls
3 calls:
290.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
432.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08241183
138981036
250021034

prune237.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

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:
9.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))
59.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
179.0ms
(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))
626.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))
224.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011472816
150012486

prune759.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
621×sqrt-prod
372×add-sqr-sqrt
326×times-frac
183×add-cube-cbrt *-un-lft-identity
75×swap-sqr
57×associate-*l*
46×associate-*r*
42×add-exp-log add-cbrt-cube
37×unswap-sqr
24×pow1 sqrt-div
19×prod-exp cbrt-unprod
14×associate-/r/
12×associate-/r* associate-/l*
8×cbrt-undiv sqrt-pow1 pow1/2 associate-*r/ div-exp
7×flip3-- flip-- div-inv
6×frac-times pow-prod-down
5×pow-prod-up
4×associate-*l/ add-log-exp
3×pow-sqr
2×sqrt-undiv frac-2neg clear-num *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 402
Calls
4 calls:
89.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
79.0ms
(* (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
628.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))))
214.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
215.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
208.0ms
(* (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
414 → 414
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011046645
150026054

prune993.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
02213
12213

end0.0ms

sample811.0ms

Algorithm
intervals
Results
322.0ms8000×body80valid
301.0ms7999×body80nan