Details

Time bar (total: 7.3s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms234×body80nan

simplify56.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

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:
72.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
15.0ms
(* 6.0 (* v v))
63.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
105.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
26.0ms
(* 6.0 (* v v))
421.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08881350
144081176
250021174

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
48×add-cbrt-cube
46×add-sqr-sqrt
44×prod-exp
41×times-frac
36×add-cube-cbrt *-un-lft-identity
29×associate-*r*
23×div-exp
22×sqrt-prod
20×cbrt-unprod
16×pow1
13×associate-*l*
11×cbrt-undiv
7×pow-prod-down
6×rec-exp 1-exp associate-/r* associate-/r/
5×associate-*r/
4×flip3-- sqrt-div flip-- add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 161
Calls
4 calls:
24.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms
(* 6.0 (* v v))
10.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
140.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
25.0ms
(* 6.0 (* v v))
169.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
425.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010311912
150021634

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
132×add-exp-log
122×pow1
84×times-frac
77×add-sqr-sqrt
68×add-cbrt-cube
55×prod-exp
52×*-un-lft-identity
49×add-cube-cbrt
48×div-exp
36×associate-*l* pow-prod-up
27×pow-prod-down cbrt-unprod
26×associate-*r*
24×sqrt-prod
22×pow-sqr
20×cbrt-undiv
18×pow-plus
13×pow2
11×associate-/r/ unswap-sqr
8×rec-exp 1-exp
6×associate-/r* div-inv
4×sqrt-div add-log-exp
3×flip3-+ *-commutative flip-+ associate-/l*
2×flip3-- flip--
1×frac-times frac-2neg associate-*r/ swap-sqr associate-*l/ clear-num
Counts
4 → 236
Calls
4 calls:
28.0ms
(* (* v v) (* v v))
16.0ms
(* 6.0 (* v v))
10.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
161.0ms
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series692.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* v v) (* v v))
34.0ms
(* 6.0 (* v v))
169.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
457.0ms
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013193206
150012729

prune510.0ms

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))
1.0b
(/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
1.0b
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (* (/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
550×add-exp-log
265×prod-exp
212×div-exp
197×add-cbrt-cube
103×cbrt-unprod
86×cbrt-undiv
42×times-frac
38×associate-*l*
28×add-sqr-sqrt rec-exp 1-exp
26×add-cube-cbrt *-un-lft-identity
19×pow1
15×associate-/r/
12×cbrt-div sqrt-div
9×frac-times pow-prod-down
7×associate-*r/
6×flip3-- sqrt-prod flip-- associate-/l*
5×associate-*l/ div-inv
4×add-log-exp
3×flip3-+ associate-*r* *-commutative flip-+
2×unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
4 → 249
Calls
4 calls:
16.0ms
(* 6.0 (* v v))
15.0ms
(* 6.0 (* v v))
19.0ms
(/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
292.0ms
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (* (/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 6.0 (* v v))
26.0ms
(* 6.0 (* v v))
331.0ms
(/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
659.0ms
(* (/ 1 (/ (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))) (* (/ (sqrt 4.0) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017998226
150016076

prune659.0ms

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
02917
12917

end0.0ms

sample787.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
255.0ms7921×body80nan