Details

Time bar (total: 5.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

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))

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))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune94.0ms

Pruning

4 alts after pruning (3 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)))

rewrite114.0ms

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

series161.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (+ x y))
39.0ms
(/ x (+ x y))
78.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify127.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
092710910
126007864
250016854

prune702.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×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 → 252
Calls
4 calls:
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
58.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (/ (- x y) (+ x y)))
210.0ms
(cbrt (/ (- x y) (+ x y)))
213.0ms
(cbrt (/ (- x y) (+ x y)))
136.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03182988
110072919
250012733

prune554.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
117×*-un-lft-identity
104×cbrt-prod
80×times-frac
77×add-sqr-sqrt
59×cbrt-div
46×add-cube-cbrt
29×associate-*r*
20×distribute-lft-out
19×pow1/3
17×frac-times associate-*l/
16×distribute-lft-out-- difference-of-squares
15×pow1
13×add-exp-log
9×pow-prod-down
8×associate-/r/ pow-prod-up
7×associate-*r/
6×prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 181
Calls
4 calls:
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
5.0ms
(cbrt (/ (- x y) (+ x y)))
301.0ms
(* (* (* (cbrt (cbrt (/ (- x y) (+ x y)))) (cbrt (cbrt (/ (- x y) (+ x y))))) (cbrt (cbrt (/ (- x y) (+ x y))))) (cbrt (/ (- x y) (+ x y))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (/ (- x y) (+ x y)))
223.0ms
(cbrt (/ (- x y) (+ x y)))
214.0ms
(cbrt (/ (- x y) (+ x y)))
143.0ms
(* (* (* (cbrt (cbrt (/ (- x y) (+ x y)))) (cbrt (cbrt (/ (- x y) (+ x y))))) (cbrt (cbrt (/ (- x y) (+ x y))))) (cbrt (/ (- x y) (+ x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04342605
114852075
250021925

prune571.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample281.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid