Details

Time bar (total: 7.3s)

sample52.0ms

Algorithm
intervals
Results
21.0ms280×body80nan
19.0ms256×body80valid

simplify59.0ms

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

localize16.0ms

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

rewrite84.0ms

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:
14.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
32.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
275.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
434.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08881350
144081176
250021174

prune280.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
24×associate-*r/
20×add-cbrt-cube
19×add-exp-log
18×add-sqr-sqrt flip3-- sqrt-div flip--
17×add-cube-cbrt *-un-lft-identity
16×log-div exp-diff
15×pow-prod-down
12×frac-times times-frac
9×prod-exp cbrt-unprod
8×associate-/r/
7×exp-prod associate-*r*
6×associate-*l/
5×log-prod exp-sum
4×associate-*l* associate-/r* log-pow add-log-exp
3×sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv frac-2neg div-exp clear-num div-inv rem-exp-log unswap-sqr
Counts
4 → 114
Calls
4 calls:
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
124.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
100.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
463.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
427.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
271.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08621832
139731632
250031628

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 6.0 (* v v))
0.1b
(* 6.0 (* v v))
0.2b
(pow (* 6.0 (* v v)) 3)
0.2b
(* (* 6.0 (* v v)) (* 6.0 (* v v)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
134×pow1
75×pow-prod-down
56×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity associate-*l*
4×add-log-exp
3×pow-unpow pow-pow pow-plus associate-*r* pow-exp *-commutative rem-cube-cbrt
2×unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr sqr-pow
Counts
4 → 123
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
6.0ms
(pow (* 6.0 (* v v)) 3)
37.0ms
(* (* 6.0 (* v v)) (* 6.0 (* v v)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 6.0 (* v v))
23.0ms
(* 6.0 (* v v))
52.0ms
(pow (* 6.0 (* v v)) 3)
37.0ms
(* (* 6.0 (* v v)) (* 6.0 (* v v)))

simplify54.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0262365
11239334
25002334

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
120×sqrt-div
60×frac-times flip3-- associate-*r/ flip--
52×add-exp-log add-cbrt-cube
32×pow1
30×associate-*l/
29×prod-exp cbrt-unprod
26×associate-/r/
19×pow-prod-down
14×associate-*r*
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
5×cbrt-undiv div-exp associate-*l*
4×add-log-exp
3×times-frac *-commutative associate-/l*
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 158
Calls
4 calls:
122.0ms
(* (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms
(* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
7.0ms
(* 6.0 (* v v))
123.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series848.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
115.0ms
(* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))
429.0ms
(/ 4.0 (* (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010932880
150012410

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04738
14738

end0.0ms

sample1.4s

Algorithm
intervals
Results
608.0ms8000×body80valid
591.0ms7965×body80nan