Details

Time bar (total: 4.2s)

sample41.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0114
1144
2144

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
32.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune299.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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 frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ 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 → 97
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
35.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343664
11615588
25001538

prune482.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.0b

localize7.0ms

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))

rewrite53.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
20.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05882041
126341860
250031696

prune711.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.0b

localize12.0ms

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)))

rewrite72.0ms

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×frac-times flip3-+ associate-*r/ flip-+ 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 → 155
Calls
3 calls:
15.0ms
(* (/ y z) (/ y z))
10.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
41.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (/ y z) (/ y z))
21.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
30.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08271474
145041332
250021328

prune1.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 5.0b

regimes344.0ms

Accuracy

67.8% (0.6b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample547.0ms

Algorithm
intervals
Results
377.0ms7999×body80valid
0.0ms1×body640valid