Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify9.0ms

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))

rewrite15.0ms

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:
13.0ms
(/ (- x y) (+ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- x y) (+ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 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)))

rewrite119.0ms

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))
6.0ms
(/ x (+ x y))
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify140.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
092710910
126007864
250016854

prune486.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))) (* (/ x (+ x y)) (/ x (+ x y))))
0.1b
(pow (/ x (+ x y)) 3)
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ y (+ x y)) 3)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
140×*-un-lft-identity
112×times-frac
86×add-sqr-sqrt
74×add-cube-cbrt
36×unpow-prod-down cube-prod
30×distribute-lft-out
24×swap-sqr
22×add-exp-log add-cbrt-cube
18×associate-*r* associate-*l*
16×associate-/r/
13×pow1
8×flip3-+ flip-+ div-inv
6×cbrt-undiv pow-unpow div-exp
4×expm1-log1p-u pow-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp rem-cube-cbrt unswap-sqr
2×cube-div cube-mult pow-to-exp pow-pow unpow3 sqr-pow
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 216
Calls
4 calls:
0.0ms
(fma (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))) (* (/ x (+ x y)) (/ x (+ x y))))
8.0ms
(pow (/ x (+ x y)) 3)
35.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
8.0ms
(pow (/ y (+ x y)) 3)

series359.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(fma (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))) (* (/ x (+ x y)) (/ x (+ x y))))
84.0ms
(pow (/ x (+ x y)) 3)
68.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
86.0ms
(pow (/ y (+ x y)) 3)

simplify159.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
08371572
148301312
250011312

prune511.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ x (+ x y)) 3)
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ y (+ x y)) 3)
6.3b
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
199×*-un-lft-identity
160×times-frac
121×add-sqr-sqrt
114×unpow-prod-down cube-prod
109×add-cube-cbrt
90×cbrt-prod
42×distribute-lft-out
24×swap-sqr associate-/r/
22×add-exp-log add-cbrt-cube
18×associate-*r* associate-*l*
13×pow1
12×flip3-+ flip-+ div-inv
6×cbrt-undiv pow-unpow div-exp
5×cube-mult unpow3 sqr-pow
4×cube-div expm1-log1p-u pow-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp rem-cube-cbrt unswap-sqr
2×pow-to-exp pow-pow
1×pow2 frac-times cbrt-div pow-plus pow1/3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 308
Calls
4 calls:
8.0ms
(pow (/ x (+ x y)) 3)
32.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
12.0ms
(pow (/ y (+ x y)) 3)
23.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

series330.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(pow (/ x (+ x y)) 3)
68.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
84.0ms
(pow (/ y (+ x y)) 3)
92.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
010622125
150011785

prune652.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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
01521
11521

end0.0ms

sample424.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid