Details

Time bar (total: 6.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
13.0ms
(- 1.0 (/ y z))
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- 1.0 (/ y z))
45.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05041403
116141048
25001967

prune169.0ms

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))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
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 → 258
Calls
3 calls:
12.0ms
(- 1.0 (/ y z))
35.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series166.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- 1.0 (/ y z))
114.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
37.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify97.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08983034
137342513
250012273

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ (/ 1 (* (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)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
1402×times-frac
803×*-un-lft-identity
716×add-sqr-sqrt
522×cbrt-div
402×cbrt-prod
381×add-cube-cbrt
377×associate-/r/
261×flip3-- flip--
172×frac-times
144×distribute-lft-out
134×difference-of-squares
86×associate-*r/ associate-*l/
67×distribute-lft-out--
60×div-inv
49×add-exp-log
42×associate-/r*
29×div-exp
18×add-cbrt-cube
16×flip3-+ flip-+
15×associate-/l*
13×cbrt-undiv
6×prod-exp
4×pow1 expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 775
Calls
4 calls:
106.0ms
(/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
8.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))
11.0ms
(cbrt (- 1.0 (/ y z)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
267.0ms
(cbrt (- 1.0 (/ y z)))
267.0ms
(cbrt (- 1.0 (/ y z)))
281.0ms
(cbrt (- 1.0 (/ y z)))

simplify220.0ms

Algorithm
egg-herbie
Counts
787 → 787
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0303921980
1500221719

prune2.0s

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)))

rewrite136.0ms

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 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 197
Calls
4 calls:
13.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
34.0ms
(/ (+ x y) (- 1.0 (/ y z)))
45.0ms
(/ (+ x y) (- 1.0 (/ y z)))
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))
44.0ms
(/ (+ x y) (- 1.0 (/ y z)))
49.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03851814
111081749
243591745
350011744

prune581.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 6.6b

regimes100.0ms

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

sample418.0ms

Algorithm
intervals
Results
196.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid