Details

Time bar (total: 3.0s)

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (+ x y) (- x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
13.0ms
(/ 1 (/ (- x y) (+ x y)))
12.0ms
(/ (- x y) (+ x y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1 (/ (- x y) (+ x y)))
60.0ms
(/ (- x y) (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04951481
122241328
250011183

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
19.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series544.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
126.0ms
(cbrt (+ x y))
129.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))

simplify139.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune239.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (+ x y)))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×*-un-lft-identity
24×add-sqr-sqrt
18×cbrt-div
16×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (sqrt (+ x y)))
22.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series547.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (sqrt (+ x y)))
165.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
124.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0356758
11281713
25002658

prune307.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

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
0104
1104

end0.0ms

sample422.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid