Details

Time bar (total: 7.7s)

sample30.0ms

Algorithm
intervals
Results
10.0ms280×body80nan
9.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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

rewrite42.0ms

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:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series796.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
271.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
402.0ms
(/ 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 (92.0ms)

IterNodesCost
08881350
144081176
250021174

prune249.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1174121
Fresh000
Picked101
Done000
Total1184122

Merged error: 0b

Counts
122 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
6.0ms
(* 6.0 (* v v))
16.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
14.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.7s

Counts
4 → 12
Calls
4 calls:
349.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
24.0ms
(* 6.0 (* v v))
418.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
907.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify53.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522676
150022534

prune374.0ms

Filtered
166 candidates to 98 candidates (59.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh033
Picked011
Done000
Total1664170

Merged error: 0b

Counts
170 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
30×log-prod
24×associate-*r/ associate-/r/
23×add-cbrt-cube
18×flip3-- sqrt-div flip--
15×exp-sum prod-exp
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac cbrt-unprod
8×div-exp
6×associate-*l/
5×rem-log-exp
4×cbrt-undiv exp-prod add-log-exp
3×associate-*l* pow-prod-down div-inv associate-/l*
2×log-div log-pow
1×frac-2neg exp-diff associate-*r* clear-num associate-/r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 109
Calls
4 calls:
5.0ms
(* 6.0 (* v v))
12.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
12.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 6.0 (* v v))
804.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
419.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
428.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09991878
147041696
250011696

prune361.0ms

Filtered
121 candidates to 92 candidates (76.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done011
Total1214125

Merged error: 0b

Counts
125 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
30×associate-*r/
20×pow1
16×prod-exp cbrt-unprod
15×add-sqr-sqrt
13×flip3-- flip--
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity associate-*r*
10×pow-prod-down
8×frac-times associate-/r/
7×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 unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 109
Calls
4 calls:
11.0ms
(* PI (- 1.0 (* v v)))
11.0ms
(* (* 3.0 (* PI (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* 3.0 (* PI (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* PI (- 1.0 (* v v)))
279.0ms
(* (* 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))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08801314
144861153
250011151

prune245.0ms

Filtered
121 candidates to 82 candidates (67.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done022
Total1214125

Merged error: 0b

Counts
125 → 4

regimes80.0ms

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
02312
12312

end0.0ms

sample749.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
278.0ms7965×body80nan