Details

Time bar (total: 4.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
19.0ms
(* (+ x y) (+ x y))
59.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
37.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
39.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
153.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09161489
150011351

prune280.0ms

Filtered
149 candidates to 88 candidates (59.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.2b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.8b
(/ x (* (+ x y) (+ x y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
16.0ms
(* (+ x y) (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
72.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
7.0ms
(/ x (* (+ x y) (+ x y)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
47.0ms
(/ y (+ (+ x y) 1.0))
155.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms
(/ x (* (+ x y) (+ x y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06611282
135911138
250011127

prune305.0ms

Filtered
182 candidates to 112 candidates (61.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(/ x (+ x y))
0.1b
(/ (/ x (+ x y)) (+ x y))
0.2b
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 310
Calls
4 calls:
18.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
15.0ms
(/ (/ x (+ x y)) (+ x y))
99.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ y (+ (+ x y) 1.0))
42.0ms
(/ x (+ x y))
59.0ms
(/ (/ x (+ x y)) (+ x y))
158.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify114.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09822745
145592543
250022535

prune561.0ms

Filtered
322 candidates to 194 candidates (60.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
8.0ms
(cbrt (+ (+ x y) 1.0))
8.0ms
(cbrt (+ (+ x y) 1.0))
10.0ms
(cbrt (+ (+ x y) 1.0))
75.0ms
(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (+ (+ x y) 1.0))
97.0ms
(cbrt (+ (+ x y) 1.0))
97.0ms
(cbrt (+ (+ x y) 1.0))
94.0ms
(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

simplify132.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
02891037
1938982
24323851
35001846

prune283.0ms

Filtered
117 candidates to 75 candidates (64.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample358.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid