Details

Time bar (total: 4.2s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
10.0ms
(- 1.0 (/ y z))
33.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- 1.0 (/ y z))
49.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
10.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
36.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series171.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- 1.0 (/ y z))
114.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06122121
127201935
250011771

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/l/
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod
14×associate-*l/
13×add-exp-log
9×add-cube-cbrt add-cbrt-cube
8×associate-*r/
7×times-frac
6×difference-of-squares
4×pow1 associate-/r* add-log-exp
3×cbrt-undiv pow1/3 div-exp prod-exp cbrt-unprod distribute-lft-out--
2×associate-/r/ distribute-lft-out
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
114.0ms
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
9.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
282.0ms
(cbrt (- 1.0 (/ y z)))
274.0ms
(cbrt (- 1.0 (/ y z)))
274.0ms
(cbrt (- 1.0 (/ y z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03621241
111711063
24916988
35002988

prune382.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))
7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
13.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
33.0ms
(/ (+ x y) (- 1.0 (/ y z)))
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))
33.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
45.0ms
(/ (+ x y) (- 1.0 (/ y z)))
49.0ms
(/ (+ x y) (- 1.0 (/ y z)))
45.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune495.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 6.6b

regimes116.0ms

Accuracy

0% (1.9b remaining)

Error of 7.6b against oracle of 5.7b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample408.0ms

Algorithm
intervals
Results
183.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid