Details

Time bar (total: 11.0s)

sample44.0ms

Algorithm
intervals
Results
13.0ms273×body80nan
12.0ms256×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 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))))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
2309×add-sqr-sqrt
897×unswap-sqr
889×associate-*l*
748×times-frac
622×associate-*r*
584×*-un-lft-identity
552×difference-of-squares
360×sqrt-prod
208×add-cube-cbrt
188×distribute-lft-out--
149×*-commutative
98×swap-sqr
68×associate-/r*
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod
11×associate-/l*
8×flip3-- sqrt-div associate-/r/ flip--
7×pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num div-inv
Counts
4 → 968
Calls
4 calls:
9.0ms
(* 5.0 (* v v))
10.0ms
(* PI t)
88.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
29.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
601.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
206.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify273.0ms

Algorithm
egg-herbie
Counts
980 → 980
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0352921521
1500121401

prune1.6s

Filtered
980 candidates to 421 candidates (57.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New9755980
Fresh000
Picked101
Done000
Total9765981

Merged error: 0b

Counts
981 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
5782×add-sqr-sqrt
3743×times-frac
2097×*-un-lft-identity
1778×associate-*l*
1763×unswap-sqr
1742×associate-*r*
1402×difference-of-squares
1137×add-cube-cbrt
934×sqrt-prod
480×distribute-lft-out--
362×*-commutative
248×swap-sqr
56×associate-/r*
55×div-inv
48×associate-/l*
37×add-exp-log add-cbrt-cube
21×associate-/l/
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×flip3-- sqrt-div associate-/r/ flip--
7×pow-prod-down
4×frac-times add-log-exp
2×frac-2neg div-sub associate-*l/ clear-num
Counts
4 → 2217
Calls
4 calls:
10.0ms
(* 3.0 (* v v))
9.0ms
(* 5.0 (* v v))
109.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
28.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
32.0ms
(* 5.0 (* v v))
626.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
176.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify547.0ms

Algorithm
egg-herbie
Counts
2229 → 2229
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0500156745

prune3.8s

Filtered
2229 candidates to 891 candidates (60.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New222812229
Fresh224
Picked011
Done000
Total223042234

Merged error: 0b

Counts
2234 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt PI) (cbrt PI))
1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(cbrt PI)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
8×add-cbrt-cube
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×cbrt-unprod add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 76
Calls
4 calls:
6.0ms
(* (cbrt PI) (cbrt PI))
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
2.0ms
(cbrt PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (cbrt PI) (cbrt PI))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify56.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0131424
1457394
21920358
35001355

prune248.0ms

Filtered
80 candidates to 50 candidates (37.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done011
Total80484

Merged error: 0b

Counts
84 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

26.7b
(sqrt (* v v))
26.7b
(sqrt (* v v))
26.7b
(sqrt (* v v))
26.7b
(sqrt (* v v))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-prod
52×add-sqr-sqrt
36×pow1
24×add-cube-cbrt *-un-lft-identity sqrt-pow1
20×rem-sqrt-square
16×swap-sqr
12×associate-*r* associate-*l*
8×*-commutative unswap-sqr
4×add-exp-log pow2 pow-plus pow1/2 pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
Counts
4 → 136
Calls
4 calls:
5.0ms
(sqrt (* v v))
5.0ms
(sqrt (* v v))
7.0ms
(sqrt (* v v))
5.0ms
(sqrt (* v v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (* v v))
8.0ms
(sqrt (* v v))
8.0ms
(sqrt (* v v))
8.0ms
(sqrt (* v v))

simplify53.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
070316
1187312
2816304
35002304

prune488.0ms

Filtered
148 candidates to 88 candidates (40.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done022
Total1484152

Merged error: 0b

Counts
152 → 4

regimes103.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02414
12414

end0.0ms

sample1.1s

Algorithm
intervals
Results
402.0ms8000×body80valid
382.0ms8050×body80nan