Details

Time bar (total: 5.7s)

sample24.0ms

Algorithm
intervals
Results
16.0ms305×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1295
2455
3565
4745
5865
61205
71365
81465
91505
101605
114465
1226955
1350015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite56.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 54
Calls
2 calls:
37.0ms
(* x (+ (/ x y) 1.0))
15.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series97.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (/ x y) 1.0))
66.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0306352
11568305
25001304

prune108.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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))

rewrite51.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
24.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05041464
123901406
250021404

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 226
Calls
4 calls:
89.0ms
(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
9.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
9.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
9.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
145.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
181.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
160.0ms
(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04173222
114423124
250012888

prune531.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))

rewrite279.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 567
Calls
4 calls:
177.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
16.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
13.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
13.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
208.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
197.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
198.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify179.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
096010840
1371110718
2500110452

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample638.0ms

Algorithm
intervals
Results
493.0ms9106×body80valid