Details

Time bar (total: 3.3s)

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: 7.4b

localize9.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite21.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune114.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (/ y z)))
7.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite60.0ms

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 expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u 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 → 101
Calls
2 calls:
16.0ms
(/ 1 (- 1.0 (/ y z)))
40.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0351684
11631607
25001557

prune189.0ms

Filtered
107 candidates to 63 candidates (58.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite65.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series161.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05972063
126631879
250031714

prune264.0ms

Filtered
205 candidates to 91 candidates (44.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.7b
(cbrt (- 1.0 (/ y z)))
7.7b
(cbrt (- 1.0 (/ y z)))
7.7b
(cbrt (- 1.0 (/ y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
23.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
216.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
301.0ms
(cbrt (- 1.0 (/ y z)))
294.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0348860
1878798
22742779
35001755

prune327.0ms

Filtered
101 candidates to 82 candidates (81.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.2b

regimes122.0ms

Accuracy

0% (2.0b remaining)

Error of 7.8b against oracle of 5.8b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample376.0ms

Algorithm
intervals
Results
204.0ms7996×body80valid
0.0ms3×body640valid
0.0ms1×body160valid