Details

Time bar (total: 3.0s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify10.0ms

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))

simplify56.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

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:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
64.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x y))
41.0ms
(/ y (+ x y))
80.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
092710910
126007864
250016854

prune520.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
293×*-un-lft-identity
148×times-frac
103×add-sqr-sqrt
100×cbrt-prod
54×distribute-lft-out--
52×distribute-lft-out
47×add-cube-cbrt
40×cbrt-div
34×swap-sqr
22×associate-/r/
20×associate-*r* associate-*l*
16×frac-times difference-of-squares
12×add-exp-log distribute-rgt-out-- associate-/r*
11×pow1 flip3-+ flip-+ div-inv
10×flip3-- frac-sub add-cbrt-cube flip-- sub-div
9×associate-/l*
6×pow1/3
4×expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 227
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ y (+ x y))
5.0ms
(/ y (+ x y))
279.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ x y))
44.0ms
(/ y (+ x y))
48.0ms
(/ y (+ x y))
144.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
04042640
112552574
240162312
350022304

prune620.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

end0.0ms

sample431.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid