Details

Time bar (total: 4.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify12.0ms

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))

series75.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (- x y) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune337.0ms

Pruning

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

rewrite109.0ms

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
(/ x (+ x y))
5.0ms
(/ y (+ x y))
63.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
45.0ms
(/ y (+ x y))
86.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify158.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
092710910
126007864
250016854

prune517.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.1b
(pow (/ x (+ x y)) 3)
12.2b
(cbrt (pow (/ x (+ x y)) 3))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
1281×*-un-lft-identity
1067×times-frac
852×cbrt-prod
810×prod-diff
786×add-sqr-sqrt
749×add-cube-cbrt
382×unpow-prod-down cube-prod
265×distribute-lft-out
176×associate-/r/
88×flip3-+ flip-+ div-inv
45×fma-neg
23×sqr-pow
21×cube-mult unpow3
14×difference-of-squares
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 1032
Calls
4 calls:
6.0ms
(/ y (+ x y))
168.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
8.0ms
(pow (/ x (+ x y)) 3)
9.0ms
(cbrt (pow (/ x (+ x y)) 3))

series262.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ x y))
84.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
88.0ms
(pow (/ x (+ x y)) 3)
44.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify324.0ms

Algorithm
egg-herbie
Counts
1044 → 1044
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
0147529345
1447417474
2500117458

prune812.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(/ y (+ x y))
0.0b
(expm1 (log1p (/ x (+ x y))))
0.0b
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
61×add-sqr-sqrt
56×add-cube-cbrt
54×prod-diff
49×times-frac
13×distribute-lft-out
8×associate-/r/
6×add-exp-log add-cbrt-cube add-log-exp
5×expm1-log1p-u
4×pow1 flip3-+ associate-/r* flip-+ log1p-expm1-u div-inv
3×fma-neg associate-/l*
2×expm1-udef difference-of-squares
1×cbrt-undiv associate--l- sub-neg log1p-udef expm1-log1p flip3-- frac-2neg diff-log log1p-expm1 div-exp clear-num flip-- distribute-lft-out--
Counts
4 → 132
Calls
4 calls:
0.0ms
(log1p (/ x (+ x y)))
5.0ms
(/ y (+ x y))
0.0ms
(expm1 (log1p (/ x (+ x y))))
16.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(log1p (/ x (+ x y)))
46.0ms
(/ y (+ x y))
84.0ms
(expm1 (log1p (/ x (+ x y))))
126.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04962347
116251653
250011468

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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
0107
1107

end0.0ms

sample278.0ms

Algorithm
intervals
Results
147.0ms8000×body80valid