Details

Time bar (total: 2.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite22.0ms

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)))

series57.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
6.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite62.0ms

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:
17.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series111.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- 1.0 (/ y z)))
56.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0351684
11631607
25001557

prune217.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite67.0ms

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:
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series181.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
46.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify85.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05972063
126631879
250011714

prune316.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
5.2b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.9b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×expm1-log1p-u frac-times flip3-+ associate-*r/ flip-+ log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 161
Calls
3 calls:
17.0ms
(* (/ y z) (/ y z))
11.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
47.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (/ y z) (/ y z))
71.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
107.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify137.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
08421519
146101374
250011374

prune429.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 5.0b

regimes136.0ms

Accuracy

67.8% (0.6b remaining)

Error of 6.3b against oracle of 5.6b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample371.0ms

Algorithm
intervals
Results
204.0ms7999×body80valid
0.0ms1×body640valid