Details

Time bar (total: 4.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
8.0ms
(/ (- x y) (+ x y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- x y) (+ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
563×*-un-lft-identity
472×times-frac
324×prod-diff
321×add-sqr-sqrt
309×add-cube-cbrt
119×distribute-lft-out
80×associate-/r/
40×flip3-+ flip-+ div-inv
18×fma-neg
7×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×distribute-rgt-out-- associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip-- sub-div
Counts
2 → 407
Calls
2 calls:
5.0ms
(/ y (+ x y))
34.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (+ x y))
76.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify138.0ms

Algorithm
egg-herbie
Counts
413 → 413
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
090610756
124447732
250026704

prune640.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) y)
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.5b
(/ 1 (/ (+ x y) y))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
2289×times-frac
1927×*-un-lft-identity
1264×add-sqr-sqrt
1231×add-cube-cbrt
954×prod-diff
341×distribute-lft-out
133×div-inv
127×associate-/r/
55×flip3-+ flip-+
19×associate-/r*
18×fma-neg
16×add-exp-log
10×add-cbrt-cube difference-of-squares
8×div-exp
7×associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv distribute-lft-out--
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
3 → 1126
Calls
3 calls:
10.0ms
(/ (+ x y) y)
72.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
8.0ms
(/ 1 (/ (+ x y) y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (+ x y) y)
81.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
42.0ms
(/ 1 (/ (+ x y) y))

simplify344.0ms

Algorithm
egg-herbie
Counts
1135 → 1135
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0237841350
1500128784

prune881.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series776.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt y) (cbrt y))
188.0ms
(cbrt y)
196.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample284.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid