Details

Time bar (total: 7.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

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: 6.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
3.6b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.8b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 81
Calls
3 calls:
3.0ms
(+ 1.0 (* z z))
9.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ 1.0 (* z z))
71.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
58.0ms
(* y (+ 1.0 (* z z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0432567
12077494
25002494

prune431.0ms

Filtered
90 candidates to 67 candidates (74.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New81990
Fresh000
Picked101
Done000
Total82991

Merged error: 3.7b

Counts
91 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
2.0b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
4.9b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
117×add-sqr-sqrt
90×*-un-lft-identity
87×add-cube-cbrt
47×add-exp-log
45×associate-*r*
29×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
5×pow1 add-log-exp
4×associate-/r/
3×rec-exp flip3-+ 1-exp associate-/r* flip-+
1×+-commutative frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative associate-/l/
Counts
3 → 180
Calls
3 calls:
3.0ms
(+ 1.0 (* z z))
24.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
8.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ 1.0 (* z z))
71.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
66.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify124.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
09451693
146761524
250011518

prune414.0ms

Filtered
189 candidates to 146 candidates (77.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1872189
Fresh268
Picked101
Done000
Total1908198

Merged error: 3.7b

Counts
198 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
2.0b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
4.9b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
231×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
10×associate-/r/
9×cbrt-undiv div-exp
6×flip3-+ associate-/r* flip-+
5×add-log-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 283
Calls
3 calls:
3.0ms
(+ 1.0 (* z z))
15.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
11.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ 1.0 (* z z))
72.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
69.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
012533401
150013310

prune726.0ms

Filtered
292 candidates to 254 candidates (87.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2902292
Fresh167
Picked011
Done000
Total2919300

Merged error: 3.7b

Counts
300 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (/ (cbrt (/ 1.0 x)) (sqrt (+ 1.0 (* z z)))) (cbrt y))
2.0b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (+ 1.0 (* z z)))) (* (cbrt y) (cbrt y)))
15.2b
(sqrt (+ 1.0 (* z z)))
15.2b
(sqrt (+ 1.0 (* z z)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
1686×times-frac
855×cbrt-prod
787×add-sqr-sqrt
785×add-cube-cbrt *-un-lft-identity
348×sqrt-prod
114×associate-/l*
53×div-inv
30×add-exp-log
22×sqrt-div
18×associate-/r/
17×add-cbrt-cube
13×cbrt-undiv div-exp
11×flip3-+ flip-+
7×associate-/r*
6×pow1
5×prod-exp cbrt-unprod
4×add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 813
Calls
4 calls:
33.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (+ 1.0 (* z z)))) (cbrt y))
17.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (+ 1.0 (* z z)))) (* (cbrt y) (cbrt y)))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (+ 1.0 (* z z)))) (cbrt y))
395.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (+ 1.0 (* z z)))) (* (cbrt y) (cbrt y)))
50.0ms
(sqrt (+ 1.0 (* z z)))
45.0ms
(sqrt (+ 1.0 (* z z)))

simplify213.0ms

Algorithm
egg-herbie
Counts
825 → 825
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0270715711
1500215388

prune3.0s

Filtered
825 candidates to 560 candidates (67.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New8250825
Fresh077
Picked011
Done011
Total8259834

Merged error: 3.7b

Counts
834 → 9

regimes240.0ms

Accuracy

0% (1.0b remaining)

Error of 6.0b against oracle of 5.0b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922
11922

end0.0ms

sample428.0ms

Algorithm
intervals
Results
256.0ms8617×body80valid