Details

Time bar (total: 3.2s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0113
1143
2163
3163

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ (- x y) (+ x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190297
1545283
21891283
35001280

prune84.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New45651
Fresh000
Picked101
Done000
Total46652

Merged error: 0b

Counts
52 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.1b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
679×*-un-lft-identity
484×times-frac
373×add-sqr-sqrt
361×add-cube-cbrt
324×prod-diff
149×distribute-lft-out
104×associate-/r*
100×frac-sub
82×associate-/r/
66×associate-/l*
41×flip3-+ flip-+ div-inv
24×frac-2neg
22×clear-num
18×fma-neg
12×sub-div
7×add-exp-log add-cbrt-cube distribute-lft-out--
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv div-exp
1×sub-neg flip3-- diff-log flip--
Counts
3 → 552
Calls
3 calls:
5.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
48.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ y (+ x y))
55.0ms
(/ x (+ x y))
99.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify163.0ms

Algorithm
egg-herbie
Counts
561 → 561
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0171912367
150019402

prune623.0ms

Filtered
561 candidates to 235 candidates (41.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5574561
Fresh505
Picked101
Done000
Total5634567

Merged error: 0b

Counts
567 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
197×*-un-lft-identity
168×times-frac
137×add-sqr-sqrt
125×distribute-lft-neg-in distribute-rgt-neg-in
85×add-cube-cbrt
30×distribute-lft-out
28×neg-mul-1
26×distribute-lft-out-- difference-of-squares
14×associate-/l*
12×associate-/r*
4×distribute-neg-frac
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 214
Calls
1 calls:
14.0ms
(/ (- (- x y)) (- (+ x y)))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- (- x y)) (- (+ x y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05702090
119022066
250011973

prune239.0ms

Filtered
217 candidates to 115 candidates (53.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2170217
Fresh033
Picked011
Done000
Total2174221

Merged error: 0b

Counts
221 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ x (+ x y)))
0.0b
(/ x (+ x y))
0.1b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
3.1b
(log (exp (/ x (+ x y))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
647×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
381×log-pow
378×add-cube-cbrt exp-prod
133×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
25×pow1
22×fma-neg
8×add-log-exp
7×add-exp-log
6×log-prod add-cbrt-cube
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×associate--l+ associate-/l*
2×diff-log rem-log-exp distribute-lft-out-- difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg div-exp clear-num flip-- rem-exp-log
Counts
4 → 536
Calls
4 calls:
8.0ms
(exp (/ x (+ x y)))
6.0ms
(/ x (+ x y))
39.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
8.0ms
(log (exp (/ x (+ x y))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(exp (/ x (+ x y)))
47.0ms
(/ x (+ x y))
96.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
62.0ms
(log (exp (/ x (+ x y))))

simplify177.0ms

Algorithm
egg-herbie
Counts
548 → 548
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0103714031
127248915
250017583

prune448.0ms

Filtered
548 candidates to 166 candidates (30.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5471548
Fresh112
Picked011
Done011
Total5484552

Merged error: 0b

Counts
552 → 4

regimes43.0ms

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
0135
1145
2145

end0.0ms

sample294.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid