Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×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: 6.5b

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

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:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune111.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite38.0ms

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:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series160.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05882041
126341860
250011696

prune263.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
239×add-sqr-sqrt
236×*-un-lft-identity
104×add-cube-cbrt
95×cbrt-prod
54×difference-of-squares
39×distribute-lft-out
27×distribute-lft-out--
18×associate-/l*
13×associate-/r/
12×associate-/r*
10×add-exp-log add-cbrt-cube
7×div-inv
6×flip3-+ flip-+ associate-/l/
4×pow1 add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 257
Calls
4 calls:
19.0ms
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series366.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
38.0ms
(/ (- 1.0 (/ y z)) (+ x y))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
07982974
131162840
250022692

prune562.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ y z) (/ y z))
6.5b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
12.0b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite39.0ms

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:
10.0ms
(* (/ y z) (/ y z))
7.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
16.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (/ y z) (/ y z))
61.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
86.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08271474
145041332
250021328

prune317.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.8b

regimes125.0ms

Accuracy

61.2% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample381.0ms

Algorithm
intervals
Results
219.0ms8001×body80valid