Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

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: 10.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

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:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune131.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 8.9b

Counts
54 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
10.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series91.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
50.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0343664
11615588
25001538

prune161.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh156
Picked011
Done011
Total1038111

Merged error: 8.9b

Counts
111 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite56.0ms

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:
28.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
13.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series210.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
55.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05882041
126341860
250031696

prune206.0ms

Filtered
201 candidates to 86 candidates (42.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2001201
Fresh145
Picked011
Done022
Total2018209

Merged error: 8.9b

Counts
209 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
3.1b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
7.9b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
108×*-un-lft-identity
101×times-frac
61×cbrt-prod
48×add-cube-cbrt associate-*r*
30×cbrt-div difference-of-squares
18×add-exp-log
16×frac-times
15×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
12×associate-*l/
11×add-cbrt-cube
9×pow1
7×associate-/l*
6×prod-exp associate-/r* cbrt-unprod
5×associate-*r/
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-- pow1/3 flip-- div-inv associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 186
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
11.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
28.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))
269.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
71.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify80.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06472174
129422050
250012008

prune401.0ms

Filtered
198 candidates to 141 candidates (71.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1980198
Fresh044
Picked011
Done033
Total1988206

Merged error: 8.9b

Counts
206 → 8

regimes128.0ms

Accuracy

29.7% (1.2b remaining)

Error of 6.5b against oracle of 5.2b and baseline of 7.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample369.0ms

Algorithm
intervals
Results
200.0ms7999×body80valid
0.0ms1×body1280valid