Details

Time bar (total: 5.9s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

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
distribute-lft-out
associate-/r*
distribute-lft-out--
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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:
17.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune112.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
7.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite56.0ms

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
add-cbrt-cube
distribute-lft-out--
associate-/r*
pow1
div-exp associate-*l* prod-exp associate-/r/
associate-/l* unswap-sqr
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
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:
12.0ms
(/ 1 (- 1.0 (/ y z)))
40.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series96.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0351684
11631607
25001557

prune199.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.6b

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))

rewrite60.0ms

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/
add-cbrt-cube associate-/l*
div-exp
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
20.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series162.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
45.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05972063
126631879
250011714

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.0b
(/ 1.0 (+ x y))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.6b
(/ (/ y z) (+ x y))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
2563×times-frac
2302×*-un-lft-identity
1429×add-sqr-sqrt
1324×add-cube-cbrt
1044×prod-diff
449×distribute-lft-out
182×associate-/r/
167×div-inv
89×flip3-+ flip-+
35×distribute-lft-out--
30×difference-of-squares
27×associate-/r*
19×associate-/l*
18×fma-neg
15×add-exp-log distribute-rgt-out--
13×add-cbrt-cube
div-exp add-log-exp
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u
frac-2neg clear-num
flip3-- frac-sub flip-- sub-div
sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 1318
Calls
4 calls:
105.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
5.0ms
(/ 1.0 (+ x y))
123.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.0ms
(/ (/ y z) (+ x y))

series348.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
43.0ms
(/ 1.0 (+ x y))
128.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
53.0ms
(/ (/ y z) (+ x y))

simplify370.0ms

Algorithm
egg-herbie
Counts
1330 → 1330
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0270446468
1500138077

prune2.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02719
12719

end0.0ms

sample539.0ms

Algorithm
intervals
Results
377.0ms8000×body80valid