Details

Time bar (total: 2.5s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ (+ x y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune69.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New46450
Fresh000
Picked101
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.6b
(expm1 (/ (+ x y) (- x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))
1.0ms
(expm1 (/ (+ x y) (- x y)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
62.0ms
(/ (+ x y) (- x y))
87.0ms
(expm1 (/ (+ x y) (- x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune120.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh123
Picked011
Done000
Total78482

Merged error: 0b

Counts
82 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (log (exp (expm1 (/ (+ x y) (- x y))))))
0.0b
(/ (+ x y) (- x y))
0.4b
(log (exp (expm1 (/ (+ x y) (- x y)))))
0.6b
(expm1 (/ (+ x y) (- x y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
17×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out-- difference-of-squares
4×log-pow associate-/l* add-log-exp
3×log-prod exp-prod
2×associate-/r/ associate-/l/ expm1-udef
1×cbrt-undiv log-div log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ exp-diff log1p-expm1 div-exp rem-log-exp clear-num flip-- flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
1.0ms
(log1p (log (exp (expm1 (/ (+ x y) (- x y))))))
8.0ms
(/ (+ x y) (- x y))
2.0ms
(log (exp (expm1 (/ (+ x y) (- x y)))))
1.0ms
(expm1 (/ (+ x y) (- x y)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(log1p (log (exp (expm1 (/ (+ x y) (- x y))))))
61.0ms
(/ (+ x y) (- x y))
94.0ms
(log (exp (expm1 (/ (+ x y) (- x y)))))
88.0ms
(expm1 (/ (+ x y) (- x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0233539
1613493
21615489
35001489

prune174.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
316×*-un-lft-identity
191×times-frac
188×sqrt-prod
187×add-sqr-sqrt
88×add-cube-cbrt
55×distribute-lft-out
53×swap-sqr
46×distribute-lft-out--
34×difference-of-squares
29×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/l*
7×flip3-- flip-- div-inv
5×sqrt-div pow-prod-up
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 284
Calls
4 calls:
8.0ms
(sqrt (/ (+ x y) (- x y)))
34.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(sqrt (/ (+ x y) (- x y)))
72.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
64.0ms
(/ (+ x y) (- x y))
66.0ms
(/ (+ x y) (- x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03712102
116831985
250031945

prune404.0ms

Filtered
296 candidates to 165 candidates (55.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2960296
Fresh011
Picked011
Done022
Total2964300

Merged error: 0b

Counts
300 → 4

regimes51.0ms

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
085
185

end0.0ms

sample303.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid