Details

Time bar (total: 1.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

rewrite8.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune50.0ms

Filtered
48 candidates to 32 candidates (33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(/ (+ x y) (- x y))
0.0b
(pow (/ (+ x y) (- x y)) 3)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
10.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
7.0ms
(/ (+ x y) (- x y))
11.0ms
(pow (/ (+ x y) (- x y)) 3)

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
8.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04821409
121281316
250011298

prune125.0ms

Filtered
194 candidates to 84 candidates (56.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1931194
Fresh123
Picked101
Done000
Total1953198

Merged error: 0b

Counts
198 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x y))
0.0b
(cbrt (pow (* (+ x y) (/ 1 (- x y))) 3))
0.0b
(pow (* (+ x y) (/ 1 (- x y))) 3)
0.2b
(* (+ x y) (/ 1 (- x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
32×times-frac
27×add-exp-log
26×add-cube-cbrt
21×associate-*r*
17×add-cbrt-cube
12×cube-div
10×pow1
8×cbrt-prod prod-exp
7×distribute-lft-out-- difference-of-squares
6×frac-times cbrt-div flip3-+ div-exp associate-*l/ flip-+
5×pow-exp associate-/r*
4×associate-*l* associate-/r/ cbrt-unprod add-log-exp
3×cbrt-undiv rec-exp pow-unpow 1-exp associate-*r/ un-div-inv associate-/l* rem-cube-cbrt unswap-sqr
2×cube-mult unpow-prod-down flip3-- pow-pow unpow3 cube-prod pow-prod-down flip-- div-inv sqr-pow
1×pow-to-exp pow-flip frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube distribute-lft-out inv-pow
Counts
4 → 145
Calls
4 calls:
5.0ms
(/ 1 (- x y))
2.0ms
(cbrt (pow (* (+ x y) (/ 1 (- x y))) 3))
10.0ms
(pow (* (+ x y) (/ 1 (- x y))) 3)
12.0ms
(* (+ x y) (/ 1 (- x y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- x y))
11.0ms
(cbrt (pow (* (+ x y) (/ 1 (- x y))) 3))
14.0ms
(pow (* (+ x y) (/ 1 (- x y))) 3)
8.0ms
(* (+ x y) (/ 1 (- x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0427791
12165670
25002653

prune147.0ms

Filtered
157 candidates to 95 candidates (39.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1570157
Fresh022
Picked011
Done000
Total1573160

Merged error: 0b

Counts
160 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x y))
31.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))
37.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify114.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0284746
1854709
23885634
35002621

prune93.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

regimes72.0ms

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
0146
1146

end0.0ms

sample372.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

Profiling

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