Details

Time bar (total: 3.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1143
2163
3163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (- x y) (+ x y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- x y) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)))

rewrite106.0ms

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
(/ y (+ x y))
5.0ms
(/ x (+ x y))
60.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
38.0ms
(/ x (+ x y))
76.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
092710910
126007864
250016854

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
7.3b
(cbrt (/ y (+ x y)))
7.3b
(cbrt (/ y (+ x y)))
7.3b
(cbrt (/ y (+ x y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
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 → 188
Calls
4 calls:
35.0ms
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
3.0ms
(cbrt (/ y (+ x y)))
6.0ms
(cbrt (/ y (+ x y)))
3.0ms
(cbrt (/ y (+ x y)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
123.0ms
(cbrt (/ y (+ x y)))
119.0ms
(cbrt (/ y (+ x y)))
128.0ms
(cbrt (/ y (+ x y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02691752
18671700
231771620
350021615

prune521.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
9.0b
(cbrt (/ x (+ x y)))
9.0b
(cbrt (/ x (+ x y)))
9.0b
(cbrt (/ x (+ x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-+ flip-+ div-inv
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt y)
3.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
123.0ms
(cbrt (/ x (+ x y)))
118.0ms
(cbrt (/ x (+ x y)))
122.0ms
(cbrt (/ x (+ x y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 4 (96.0ms)

IterNodesCost
0164676
1312652
2749644
32518634
45001628

prune461.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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
075
175

end0.0ms

sample274.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid