Details

Time bar (total: 5.9s)

sample32.0ms

Algorithm
intervals
Results
9.0ms283×body80nan
9.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

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
(* (* 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))))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
24.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
71.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
66.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
260.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
408.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08881350
144081176
250021174

prune263.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite765.0ms

Algorithm
rewrite-expression-head
Rules
324×cbrt-div sqrt-div
272×frac-times
216×flip3-- flip--
196×associate-*r/
100×associate-*l/
81×add-exp-log
80×associate-/r/
55×add-cbrt-cube
50×prod-exp cbrt-unprod
43×pow1
28×pow-prod-down
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity associate-*r*
8×cbrt-undiv div-exp
7×associate-*l*
6×cbrt-prod
4×add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 270
Calls
4 calls:
16.0ms
(* 6.0 (* v v))
15.0ms
(* 6.0 (* v v))
364.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))
340.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))

series749.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
267.0ms
(* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))
426.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify97.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
016488615
150017881

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

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 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

rewrite128.0ms

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:
15.0ms
(* 6.0 (* v v))
15.0ms
(* 6.0 (* v v))
16.0ms
(* 6.0 (* v v))
78.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
32.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))
239.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0524799
12358691
25001690

prune315.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
02423
12423

end0.0ms

sample786.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
269.0ms8117×body80nan