Details

Time bar (total: 6.4s)

sample58.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
19.0ms243×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series820.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
587.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07551158
142811002
250011002

prune317.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
97.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
27.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series965.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
594.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
195.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
150.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07791300
141951138
250011138

prune334.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×sqrt-div add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
81.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series356.0ms

Counts
4 → 8
Calls
4 calls:
200.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0316590
11380526
25002524

prune281.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×sqrt-prod
9×pow1 add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
4×associate-*r/ associate-*r* add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l*
2×sqrt-div
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 60
Calls
4 calls:
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series356.0ms

Counts
4 → 6
Calls
4 calls:
356.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify74.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0174292
1645280
22594277
35002277

prune245.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes307.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample1.6s

Algorithm
intervals
Results
687.0ms8000×body80valid
632.0ms7913×body80nan