Details

Time bar (total: 6.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify76.0ms

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: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite81.0ms

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:
47.0ms
(* x (+ (/ x y) 1.0))
32.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ (/ x y) 1.0))
44.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0296332
11504285
25001283

prune93.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite79.0ms

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:
36.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
36.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series111.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04941442
123441386
250021384

prune245.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.5b
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
1062×times-frac
1022×*-un-lft-identity
641×cbrt-prod
478×add-sqr-sqrt
422×add-cube-cbrt
264×distribute-lft-out
134×swap-sqr
74×associate-*r* associate-*l*
49×associate-/r/
28×div-inv
21×flip3-+ flip-+
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 559
Calls
4 calls:
225.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
19.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
18.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
21.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series867.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
209.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
205.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
220.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify165.0ms

Algorithm
egg-herbie
Counts
571 → 571
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
094510771
1364410656
2500210398

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.4b
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.9b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
7.8b
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite261.0ms

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:
21.0ms
(* (/ x y) (/ x y))
39.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
36.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
96.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series257.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (/ x y) (/ x y))
79.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
73.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
80.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify174.0ms

Algorithm
egg-herbie
Counts
747 → 747
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0267915205
1500114896

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b 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

sample412.0ms

Algorithm
intervals
Results
226.0ms9131×body80valid