Details

Time bar (total: 7.4s)

sample21.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify76.0ms

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: 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))

rewrite85.0ms

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:
52.0ms
(* x (+ (/ x y) 1.0))
31.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ (/ x y) 1.0))
50.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0306352
11568305
25001304

prune121.0ms

Pruning

5 alts after pruning (5 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))

rewrite87.0ms

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:
35.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
41.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05041464
123901406
250021404

prune308.0ms

Pruning

5 alts after pruning (4 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))))

rewrite368.0ms

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:
243.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
20.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
20.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
24.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
227.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
227.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
238.0ms
(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify184.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
096010840
1371110718
2500110452

prune1.5s

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))
0.4b
(/ 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))

rewrite275.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 743
Calls
4 calls:
23.0ms
(* (/ x y) (/ x y))
40.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
40.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
103.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series296.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (/ x y) (/ x y))
83.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
83.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
94.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify179.0ms

Algorithm
egg-herbie
Counts
755 → 755
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0269715197
1500114905

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample427.0ms

Algorithm
intervals
Results
230.0ms9131×body80valid