Details

Time bar (total: 3.4s)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

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:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune108.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite59.0ms

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:
13.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (- 1.0 (/ y z)))
53.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0343664
11615588
25001538

prune180.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite57.0ms

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:
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series161.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05882041
126341860
250031696

prune261.0ms

Filtered
201 candidates to 86 candidates (42.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.8b
(cbrt (- 1.0 (/ y z)))
7.8b
(cbrt (- 1.0 (/ y z)))
7.8b
(cbrt (- 1.0 (/ y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-sqr-sqrt
18×cbrt-prod
16×add-exp-log
13×*-un-lft-identity
9×flip3-- flip--
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+ difference-of-squares
4×pow1 cbrt-undiv times-frac associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out--
1×frac-2neg clear-num associate-/r* div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
24.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
408.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
285.0ms
(cbrt (- 1.0 (/ y z)))
280.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04741046
11287922
24932874
35001874

prune334.0ms

Filtered
97 candidates to 81 candidates (83.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 6.9b

regimes126.0ms

Accuracy

0% (2.1b remaining)

Error of 8.1b against oracle of 6.0b and baseline of 8.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample369.0ms

Algorithm
intervals
Results
197.0ms7998×body80valid
0.0ms2×body1280valid