Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms325×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1263
2563
31373
42293
52893
63793
75823
88783
911933
1012343
1112343

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
8.0ms
(* (+ x y) (- 1.0 z))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (+ x y) (- 1.0 z))

simplify33.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0240207
1997192
25001190

prune58.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New34236
Fresh000
Picked101
Done000
Total35237

Merged error: 0.0b

Counts
37 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
0.0b
(* (- z) (+ x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/ associate-*l*
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-in distribute-rgt-neg-in distribute-lft-in
2×associate-+l+ associate-+r+
1×+-commutative neg-mul-1 distribute-rgt-out unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 53
Calls
2 calls:
7.0ms
(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
7.0ms
(* (- z) (+ x y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
35.0ms
(* (- z) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0387384
11802333
25003332

prune96.0ms

Filtered
59 candidates to 45 candidates (76.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done000
Total59261

Merged error: 0.0b

Counts
61 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 z))
0.2b
(cbrt (- 1.0 z))
0.2b
(cbrt (- 1.0 z))
0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
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 → 101
Calls
4 calls:
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
10.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (- 1.0 z))
92.0ms
(cbrt (- 1.0 z))
93.0ms
(cbrt (- 1.0 z))
104.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

simplify142.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0316847
11010807
24438753
35001749

prune240.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh000
Picked011
Done011
Total1123115

Merged error: 0b

Counts
115 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))
0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
85×cbrt-prod
76×add-sqr-sqrt
70×*-un-lft-identity
56×cbrt-div
30×swap-sqr
28×add-cube-cbrt
25×pow1
24×flip3-- associate-*r* associate-*l* flip--
19×pow1/3
18×distribute-lft-out--
16×frac-times
12×difference-of-squares unswap-sqr
10×add-exp-log
8×associate-*r/ associate-*l/
6×pow-prod-down pow-sqr pow-prod-up
4×add-cbrt-cube add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 185
Calls
4 calls:
9.0ms
(cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))
10.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
10.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
10.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))
106.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
105.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
111.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

simplify165.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03401628
110891549
248371428
350011428

prune471.0ms

Filtered
197 candidates to 125 candidates (63.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done022
Total1973200

Merged error: 0b

Counts
200 → 3

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1196
2246
3246

end0.0ms

sample419.0ms

Algorithm
intervals
Results
225.0ms10141×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms1×body320valid

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