Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms311×body80valid
0.0ms6×body640valid
0.0ms2×body1280valid
0.0ms1×body320valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune4.0ms

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: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×associate-*l*
6×add-sqr-sqrt
5×+-commutative distribute-lft-out
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt associate-+l+ distribute-lft-in associate-*r* add-cbrt-cube add-log-exp
2×flip3-+ associate-*r/ flip-+
1×pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
6.0ms
(* x (+ y z))
17.0ms
(+ (* x (+ y z)) (* z 5.0))

series59.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ y z))
31.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0208212
1842195
23982194
35002194

prune67.0ms

Filtered
50 candidates to 31 candidates (38.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New43750
Fresh000
Picked101
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (+ x 5.0))
0.0b
(+ (* x y) (* z (+ x 5.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×associate-*l*
6×add-sqr-sqrt
5×+-commutative distribute-lft-out
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt associate-+r+ distribute-lft-in associate-*r* add-cbrt-cube add-log-exp
2×flip3-+ associate-*r/ flip-+
1×pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
6.0ms
(* z (+ x 5.0))
15.0ms
(+ (* x y) (* z (+ x 5.0)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* z (+ x 5.0))
30.0ms
(+ (* x y) (* z (+ x 5.0)))

simplify124.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203208
1903194
24583194
35001194

prune72.0ms

Filtered
50 candidates to 32 candidates (36.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New46450
Fresh516
Picked011
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
0.6b
(cbrt (* z (+ x 5.0)))
0.6b
(cbrt (* z (+ x 5.0)))
0.6b
(cbrt (* z (+ x 5.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
111×cbrt-prod
67×add-sqr-sqrt
53×*-un-lft-identity
48×associate-*r*
39×associate-*l*
29×add-cube-cbrt
22×unswap-sqr
20×associate-*r/ swap-sqr
18×cbrt-div
11×pow1
9×flip3-+ pow1/3 flip-+ distribute-lft-out
8×*-commutative add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Counts
4 → 159
Calls
4 calls:
19.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
6.0ms
(cbrt (* z (+ x 5.0)))
6.0ms
(cbrt (* z (+ x 5.0)))
6.0ms
(cbrt (* z (+ x 5.0)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
131.0ms
(cbrt (* z (+ x 5.0)))
136.0ms
(cbrt (* z (+ x 5.0)))
135.0ms
(cbrt (* z (+ x 5.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05131751
118901644
250011525

prune373.0ms

Filtered
171 candidates to 120 candidates (29.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1701171
Fresh044
Picked101
Done011
Total1716177

Merged error: 0b

Counts
177 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 5.0 5.0))
0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b
(* z (- (* x x) (* 5.0 5.0)))
5.4b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
567×add-sqr-sqrt
253×*-un-lft-identity
243×difference-of-squares
231×associate-*r*
210×times-frac
96×swap-sqr
87×*-commutative unswap-sqr
83×distribute-lft-out--
67×add-cube-cbrt
54×associate-*l*
42×associate-/l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×associate-/r*
4×flip3-- associate-*r/ flip--
3×sub-neg
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative frac-2neg flip3-+ diff-log pow-prod-down clear-num sum-log flip-+ div-inv
Counts
4 → 384
Calls
4 calls:
17.0ms
(- (* x x) (* 5.0 5.0))
132.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
27.0ms
(* z (- (* x x) (* 5.0 5.0)))
37.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series275.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* x x) (* 5.0 5.0))
62.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
70.0ms
(* z (- (* x x) (* 5.0 5.0)))
97.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify144.0ms

Algorithm
egg-herbie
Counts
396 → 396
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
09663040
140702830
250022790

prune539.0ms

Filtered
396 candidates to 148 candidates (62.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3942396
Fresh224
Picked101
Done011
Total3975402

Merged error: 0b

Counts
402 → 5

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample443.0ms

Algorithm
intervals
Results
216.0ms9854×body80valid
10.0ms105×body1280valid
9.0ms113×body640valid
4.0ms73×body320valid
1.0ms26×body160valid