Details

Time bar (total: 4.5s)

sample17.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 12.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
11.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite46.0ms

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:
29.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
43.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296332
11504285
25001283

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite52.0ms

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:
22.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series110.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
68.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04941442
123441386
250021384

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))))

rewrite293.0ms

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:
185.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
17.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
14.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
14.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series860.0ms

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)))))
211.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
206.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
209.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify180.0ms

Algorithm
egg-herbie
Counts
571 → 571
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
094510771
1364410656
2500210398

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
11.3b
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
40×*-un-lft-identity
31×add-exp-log
28×add-sqr-sqrt
26×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r* associate-/r/
7×cbrt-undiv flip3-+ flip-+ distribute-lft-out associate-/l*
6×pow1 div-inv
5×prod-exp
4×associate-*r*
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 118
Calls
3 calls:
31.0ms
(* x (+ (/ x y) 1.0))
23.0ms
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
15.0ms
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* x (+ (/ x y) 1.0))
41.0ms
(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
83.0ms
(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04801005
12628874
25001820

prune163.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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

sample368.0ms

Algorithm
intervals
Results
226.0ms9141×body80valid