Details

Time bar (total: 4.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
9.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
15.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0299361
11304334
25002330

prune78.0ms

Filtered
60 candidates to 43 candidates (28.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New57360
Fresh000
Picked011
Done000
Total57461

Merged error: 0b

Counts
61 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
5.4b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
50×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
34×cbrt-prod
30×associate-*r*
18×add-exp-log
13×distribute-lft-out
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-+ pow1/3 flip-+ div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
17.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt y)
21.0ms
(cbrt y)
48.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
14.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05741297
127701194
250011136

prune159.0ms

Filtered
135 candidates to 98 candidates (27.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0b

Counts
139 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 8.0 (pow y 2))
5.4b
(- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))
7.4b
(/ (/ 4.0 y) (pow x 2))
15.3b
(/ (/ 8.0 (pow y 2)) (pow x 3))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
1445×times-frac
1147×add-sqr-sqrt
412×*-un-lft-identity
394×add-cube-cbrt
381×unpow-prod-down
209×sqr-pow
189×difference-of-squares
137×unpow2
132×cube-prod
48×add-exp-log
44×associate-/l*
33×div-exp
31×cube-mult
29×unpow3
28×associate-/r*
25×div-inv
16×add-cbrt-cube
10×pow-to-exp pow-exp
7×cbrt-undiv
6×add-log-exp
5×distribute-lft-out--
4×pow1
3×frac-2neg clear-num
2×associate-/l/
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 801
Calls
4 calls:
5.0ms
(/ 8.0 (pow y 2))
1.1s
(- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))
8.0ms
(/ (/ 4.0 y) (pow x 2))
17.0ms
(/ (/ 8.0 (pow y 2)) (pow x 3))

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 8.0 (pow y 2))
15.0ms
(- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))
6.0ms
(/ (/ 4.0 y) (pow x 2))
8.0ms
(/ (/ 8.0 (pow y 2)) (pow x 3))

simplify265.0ms

Algorithm
egg-herbie
Counts
813 → 813
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
025599561
150028948

prune1.3s

Filtered
813 candidates to 325 candidates (60.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New8130813
Fresh011
Picked011
Done022
Total8134817

Merged error: 0b

Counts
817 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))
0.2b
(* (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))))
9.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))
9.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 204
Calls
4 calls:
6.0ms
(sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))
22.0ms
(* (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))))
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
7.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))
14.0ms
(* (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))))
12.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
11.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
04841966
124911836
250011807

prune306.0ms

Filtered
216 candidates to 136 candidates (37.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2160216
Fresh000
Picked011
Done033
Total2164220

Merged error: 0b

Counts
220 → 4

regimes123.0ms

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 (1.0ms)

IterNodesCost
0115
1115

end0.0ms

sample472.0ms

Algorithm
intervals
Results
271.0ms8000×body80valid

Profiling

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