Details

Time bar (total: 4.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
20.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune139.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:
14.0ms
(/ 1 (- 1.0 (/ y z)))
46.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series105.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
60.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0351684
11631607
25001557

prune234.0ms

Filtered
107 candidates to 62 candidates (57.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.9b

localize8.0ms

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))

rewrite70.0ms

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:
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
33.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series184.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05972063
126631879
250011714

prune317.0ms

Filtered
205 candidates to 90 candidates (43.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.9b

localize18.0ms

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)))

rewrite49.0ms

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 expm1-log1p-u times-frac associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out--
1×frac-2neg clear-num associate-/r* div-inv associate-/l*
Counts
4 → 93
Calls
4 calls:
26.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ 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)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
476.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
323.0ms
(cbrt (- 1.0 (/ y z)))
322.0ms
(cbrt (- 1.0 (/ y z)))
333.0ms
(cbrt (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04881096
11337971
25002925

prune440.0ms

Filtered
105 candidates to 89 candidates (84.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 6.9b

regimes151.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample357.0ms

Algorithm
intervals
Results
198.0ms7998×body80valid
0.0ms2×body1280valid