Details

Time bar (total: 5.3s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify11.0ms

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))

rewrite14.0ms

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:
12.0ms
(/ (- x y) (+ x y))

series71.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune83.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
6.0ms
(/ y (+ x y))
9.0ms
(/ x (+ x y))
65.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
48.0ms
(/ x (+ x y))
90.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify132.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
092710910
126007864
250016854

prune479.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
1113×*-un-lft-identity
932×times-frac
648×prod-diff
635×add-sqr-sqrt
611×add-cube-cbrt
326×exp-sum
235×distribute-lft-out
158×associate-/r/
79×flip3-+ flip-+ div-inv
18×fma-neg
17×exp-prod
14×distribute-lft-out--
9×add-log-exp
8×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
6×distribute-rgt-out-- associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num rem-exp-log
1×flip3-- exp-diff frac-sub flip-- sub-div
Counts
4 → 797
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
164.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
98.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
81.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify226.0ms

Algorithm
egg-herbie
Counts
809 → 809
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0121222035
1318717853
2500116421

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
0.0b
(+ (/ x (+ x y)) (/ y (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
322×*-un-lft-identity
252×times-frac
136×add-sqr-sqrt
112×add-cube-cbrt
94×distribute-lft-out
59×exp-prod
48×swap-sqr
41×associate-/r/
36×associate-*r* associate-*l*
28×add-exp-log add-cbrt-cube
21×flip3-+ flip-+
20×div-inv
18×pow1 fma-def
15×distribute-rgt-out
13×difference-of-squares
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ frac-add pow-sqr *-commutative pow-prod-up
1×+-commutative exp-diff div-sub sum-log rem-exp-log
Counts
4 → 292
Calls
4 calls:
178.0ms
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
45.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
31.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
34.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
49.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
77.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
66.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09792736
150012496

prune737.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
01419
11419

end0.0ms

sample396.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid