Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize6.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (+ 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:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune132.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
8.9b
(* (+ 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 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:
13.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- 1.0 (/ y z)))
52.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351684
11631607
25001557

prune213.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite63.0ms

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)))
27.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series170.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05972063
126631879
250011714

prune292.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
9.2b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
40×*-un-lft-identity
35×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
18×associate-*r*
16×prod-exp
10×rec-exp 1-exp associate-/r/
9×pow1
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l*
5×associate-/r*
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×expm1-log1p-u pow-flip log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ inv-pow difference-of-squares
1×*-commutative distribute-lft-out--
Counts
3 → 135
Calls
3 calls:
6.0ms
(/ 1 (+ x y))
24.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
42.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (+ x y))
125.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
48.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0444850
12028702
25001655

prune228.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.5b

regimes163.0ms

Accuracy

59.9% (0.8b remaining)

Error of 6.7b against oracle of 5.9b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02929
12929

end0.0ms

sample362.0ms

Algorithm
intervals
Results
204.0ms7995×body80valid
0.0ms3×body1280valid
0.0ms2×body320valid