Details

Time bar (total: 2.9s)

sample45.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms270×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
056520
156520

prune9.0ms

Filtered
1 candidates to 1 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 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
18×flip3-- sqrt-div flip--
16×pow1 add-sqr-sqrt
13×prod-exp cbrt-unprod
12×frac-times
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×associate-*r* associate-/r/
7×pow-prod-down
6×associate-*l/
4×cbrt-undiv div-exp sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 108
Calls
4 calls:
11.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
6.0ms
(* v (* v 6.0))
15.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
10.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
3.0ms
(* v (* v 6.0))
22.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
058842375

prune249.0ms

Filtered
86 candidates to 120 candidates (-39.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh101
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
31×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
22×associate-*r/
18×flip3-- sqrt-div flip--
16×pow1
13×prod-exp cbrt-unprod associate-/l*
12×frac-times
10×associate-*l*
9×cbrt-undiv div-exp
8×associate-*r* associate-/r/
7×pow-prod-down
6×associate-*l/
4×sqrt-prod add-log-exp
3×*-commutative div-inv
2×unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ difference-of-squares
Counts
4 → 133
Calls
4 calls:
15.0ms
(/ (/ 4.0 3.0) (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
10.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
6.0ms
(* v (* v 6.0))

series47.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (/ 4.0 3.0) (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
11.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
13.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
3.0ms
(* v (* v 6.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
058702959

prune301.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1441145
Fresh112
Picked101
Done000
Total1462148

Merged error: 0b

Counts
148 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
52×add-cbrt-cube
35×prod-exp
30×add-sqr-sqrt
23×div-exp
22×associate-*l*
21×cbrt-unprod
20×*-un-lft-identity
19×add-cube-cbrt associate-*r* associate-*l/
17×times-frac
16×associate-/r/
14×sqrt-div
13×pow1 cbrt-undiv flip3-- flip--
9×frac-times
5×associate-*r/ pow-prod-down unswap-sqr
4×rec-exp 1-exp sqrt-prod add-log-exp
3×*-commutative div-inv associate-/l*
1×frac-2neg clear-num associate-/r*
Counts
4 → 140
Calls
4 calls:
6.0ms
(* v (* v 6.0))
12.0ms
(/ 4.0 (* (- 1.0 (* v v)) (* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0)))
7.0ms
(* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0)
20.0ms
(* (/ 1 PI) (/ 4.0 (* (- 1.0 (* v v)) (* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 6.0))
14.0ms
(/ 4.0 (* (- 1.0 (* v v)) (* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0)))
7.0ms
(* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0)
21.0ms
(* (/ 1 PI) (/ 4.0 (* (- 1.0 (* v v)) (* (sqrt (- 2.0 (* v (* v 6.0)))) 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049662918
149662918

prune269.0ms

Filtered
101 candidates to 152 candidates (-50.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done000
Total1522154

Merged error: 0b

Counts
154 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
25×add-exp-log add-cbrt-cube
18×add-sqr-sqrt flip3-- sqrt-div flip--
16×associate-/r/ log-pow
15×exp-prod
13×add-cube-cbrt *-un-lft-identity
12×pow1 frac-times
10×prod-exp cbrt-unprod
7×associate-*r* associate-*l*
6×times-frac associate-*l/
4×cbrt-undiv div-exp pow-prod-down sqrt-prod add-log-exp
3×log-prod associate-/l*
2×*-commutative div-inv unswap-sqr
1×frac-2neg rem-log-exp clear-num associate-/r* difference-of-squares
Counts
4 → 109
Calls
4 calls:
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
6.0ms
(* v (* v 6.0))
15.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
8.0ms
(log (exp (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
6.0ms
(* v (* v 6.0))
18.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
19.0ms
(log (exp (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))))

simplify35.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
053622533

prune285.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done011
Total1212123

Merged error: 0b

Counts
123 → 2

regimes28.0ms

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
02522
12522

end0.0ms

sample1.1s

Algorithm
intervals
Results
444.0ms8000×body80valid
415.0ms8034×body80nan

Profiling

Loading profile data...