Details

Time bar (total: 4.8s)

sample16.0ms

Algorithm
intervals
Results
8.0ms295×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.0b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
15.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (/ x y) 1.0))
42.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0296332
11504285
25001283

prune104.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04941442
123441386
250021384

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 454
Calls
3 calls:
15.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
24.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series202.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
64.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
51.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify90.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012865755
150015222

prune722.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.5b
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.2b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
10.4b
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
1482×times-frac
895×add-sqr-sqrt
877×*-un-lft-identity
523×add-cube-cbrt
249×difference-of-squares
105×distribute-lft-out
78×associate-/l*
72×distribute-lft-out--
62×associate-/r/
39×div-inv
32×add-exp-log associate-/r* add-cbrt-cube
27×flip3-- flip--
14×cbrt-undiv div-exp
13×swap-sqr associate-*r* associate-*l*
11×pow1
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
1×pow2 frac-times flip3-+ pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-+
Counts
4 → 735
Calls
4 calls:
10.0ms
(* (/ x y) (/ x y))
19.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
11.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
35.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series283.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (/ x y) (/ x y))
87.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
77.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
92.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify186.0ms

Algorithm
egg-herbie
Counts
747 → 747
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0267915205
1500114896

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample406.0ms

Algorithm
intervals
Results
248.0ms9071×body80valid