Details

Time bar (total: 5.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

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: 8.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
4.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.8b
(* y (+ 1.0 (* z z)))

rewrite17.0ms

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:
2.0ms
(+ 1.0 (* z z))
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ 1.0 (* z z))
52.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
53.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0432567
12077494
25002494

prune343.0ms

Filtered
90 candidates to 67 candidates (74.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New791190
Fresh000
Picked101
Done000
Total801191

Merged error: 6.2b

Counts
91 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
3.9b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
5.7b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite38.0ms

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:
2.0ms
(+ 1.0 (* z z))
21.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
6.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ 1.0 (* z z))
55.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
58.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09451693
146761524
250011518

prune678.0ms

Filtered
189 candidates to 146 candidates (77.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1863189
Fresh3710
Picked101
Done000
Total19010200

Merged error: 6.2b

Counts
200 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
3.9b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
5.7b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite44.0ms

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:
6.0ms
(+ 1.0 (* z z))
14.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ 1.0 (* z z))
96.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
57.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012533401
150013310

prune1.1s

Filtered
292 candidates to 254 candidates (87.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2911292
Fresh189
Picked011
Done000
Total29210302

Merged error: 6.2b

Counts
302 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))
3.9b
(* (/ 1 y) (* (/ 1 (sqrt (+ 1.0 (* z z)))) (/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))))
19.4b
(sqrt (+ 1.0 (* z z)))
19.4b
(sqrt (+ 1.0 (* z z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
234×add-exp-log
150×times-frac
101×div-exp
100×prod-exp
92×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
74×add-cbrt-cube
48×sqrt-prod
28×cbrt-undiv
26×cbrt-unprod
25×rec-exp 1-exp
13×associate-*l* associate-/l*
11×pow1
9×div-inv
6×sqrt-div associate-/r*
5×frac-times associate-*r/
4×add-log-exp
3×flip3-+ pow-prod-down associate-*l/ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×frac-2neg associate-*r* clear-num *-commutative associate-/l/
Counts
4 → 241
Calls
4 calls:
11.0ms
(/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))
21.0ms
(* (/ 1 y) (* (/ 1 (sqrt (+ 1.0 (* z z)))) (/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))
69.0ms
(* (/ 1 y) (* (/ 1 (sqrt (+ 1.0 (* z z)))) (/ (/ 1.0 x) (sqrt (+ 1.0 (* z z))))))
48.0ms
(sqrt (+ 1.0 (* z z)))
42.0ms
(sqrt (+ 1.0 (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011653067
150012574

prune691.0ms

Filtered
253 candidates to 135 candidates (53.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2530253
Fresh088
Picked011
Done011
Total25310263

Merged error: 6.2b

Counts
263 → 10

regimes700.0ms

Accuracy

57.4% (0.6b remaining)

Error of 5.7b against oracle of 5.1b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13421
23421

end0.0ms

sample595.0ms

Algorithm
intervals
Results
292.0ms8604×body80valid

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