Details

Time bar (total: 4.4s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms270×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

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))))))

rewrite40.0ms

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:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series837.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
295.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
430.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08731329
141241178
250021175

prune284.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
46×add-sqr-sqrt
43×add-cbrt-cube
41×times-frac prod-exp
36×add-cube-cbrt *-un-lft-identity
25×associate-*r* sqrt-prod
23×div-exp
17×cbrt-unprod
12×pow1 associate-*l*
11×cbrt-undiv
6×rec-exp sqrt-div 1-exp associate-/r* associate-/r/
4×flip3-- pow-prod-down flip-- add-log-exp unswap-sqr
3×associate-*r/ div-inv associate-/l*
2×*-commutative
1×frac-times rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*l/ clear-num
Counts
4 → 151
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
6.0ms
(* 6.0 (* v v))
25.0ms
(* (/ 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)))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
31.0ms
(* 6.0 (* v v))
436.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
169.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010201894
150011635

prune543.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
6×flip3-- sqrt-div flip--
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l* unswap-sqr
2×associate-*l/
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 90
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
21.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 6.0 (* v v))
30.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
332.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0553960
12520805
25001805

prune369.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
02411
12411

end0.0ms

sample723.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
266.0ms8063×body80nan