Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

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: 5.9b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
17.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune97.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 3.8b

Counts
54 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.0b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
13.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series215.0ms

Counts
2 → 6
Calls
2 calls:
145.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
69.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify85.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05882041
126341860
250031696

prune201.0ms

Filtered
201 candidates to 86 candidates (42.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1992201
Fresh235
Picked011
Done011
Total2017208

Merged error: 3.7b

Counts
208 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (- 1.0 (/ y z)))
5.9b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 588
Calls
3 calls:
5.0ms
(/ 1 (+ x y))
7.0ms
(/ 1 (- 1.0 (/ y z)))
26.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (+ x y))
45.0ms
(/ 1 (- 1.0 (/ y z)))
118.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify153.0ms

Algorithm
egg-herbie
Counts
597 → 597
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
021338430
150017521

prune655.0ms

Filtered
597 candidates to 230 candidates (38.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5961597
Fresh044
Picked011
Done022
Total5968604

Merged error: 3.7b

Counts
604 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ x y) (- 1.0 (/ y z))))
0.2b
(* (sqrt (/ (+ x y) (- 1.0 (/ y z)))) (sqrt (/ (+ x y) (- 1.0 (/ y z)))))
5.9b
(/ (+ x y) (- 1.0 (/ y z)))
5.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
343×*-un-lft-identity
296×add-sqr-sqrt
257×times-frac
212×sqrt-prod
95×add-cube-cbrt
68×difference-of-squares
64×distribute-lft-out
59×swap-sqr
46×distribute-lft-out--
33×associate-*r* associate-*l*
20×pow1
14×associate-/r/
12×associate-/r*
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/l*
7×flip3-- flip-- div-inv
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 304
Calls
4 calls:
10.0ms
(sqrt (/ (+ x y) (- 1.0 (/ y z))))
41.0ms
(* (sqrt (/ (+ x y) (- 1.0 (/ y z)))) (sqrt (/ (+ x y) (- 1.0 (/ y z)))))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (/ (+ x y) (- 1.0 (/ y z))))
101.0ms
(* (sqrt (/ (+ x y) (- 1.0 (/ y z)))) (sqrt (/ (+ x y) (- 1.0 (/ y z)))))
53.0ms
(/ (+ x y) (- 1.0 (/ y z)))
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify117.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
04562926
120132787
250012756

prune548.0ms

Filtered
316 candidates to 175 candidates (55.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3160316
Fresh044
Picked011
Done033
Total3168324

Merged error: 3.7b

Counts
324 → 8

regimes153.0ms

Accuracy

66.7% (0.6b remaining)

Error of 6.1b against oracle of 5.5b and baseline of 7.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample415.0ms

Algorithm
intervals
Results
241.0ms7999×body80valid
0.0ms1×body640valid