Details

Time bar (total: 3.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (- x y) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune88.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New47451
Fresh000
Picked011
Done000
Total47552

Merged error: 0b

Counts
52 → 5

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)))

rewrite77.0ms

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))
30.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ x y))
39.0ms
(/ x (+ x y))
78.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify140.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
092710910
126007864
250016854

prune392.0ms

Filtered
451 candidates to 149 candidates (33.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4501451
Fresh123
Picked101
Done011
Total4524456

Merged error: 0b

Counts
456 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
1.0ms
(log1p (/ x (+ x y)))
5.0ms
(/ x (+ x y))
1.0ms
(expm1 (log1p (/ x (+ x y))))
15.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(log1p (/ x (+ x y)))
39.0ms
(/ x (+ x y))
76.0ms
(expm1 (log1p (/ x (+ x y))))
109.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05342333
117331519
250011349

prune205.0ms

Filtered
144 candidates to 81 candidates (56.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh022
Picked011
Done011
Total1444148

Merged error: 0b

Counts
148 → 4

localize9.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
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 → 109
Calls
4 calls:
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series649.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
168.0ms
(cbrt (- x y))
171.0ms
(cbrt (- x y))
165.0ms
(cbrt (- x y))

simplify173.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
0270790
1950753
24639700
35001694

prune281.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done022
Total1214125

Merged error: 0b

Counts
125 → 4

regimes52.0ms

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
097
197

end0.0ms

sample288.0ms

Algorithm
intervals
Results
157.0ms8000×body80valid