Details

Time bar (total: 2.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms318×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1423
2823
31263
41383
51403
61403

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
8.0ms
(* (+ x y) (+ z 1.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (+ x y) (+ z 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0265187
11154173
25002173

prune61.0ms

Filtered
33 candidates to 24 candidates (72.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New29433
Fresh000
Picked101
Done000
Total30434

Merged error: 0b

Counts
34 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l*
2×associate-+l+ associate-+r+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
7.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
6.0ms
(* z (+ x y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
25.0ms
(* z (+ x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318305
11544270
25002270

prune80.0ms

Filtered
49 candidates to 37 candidates (75.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh033
Picked011
Done000
Total49453

Merged error: 0b

Counts
53 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
0.3b
(cbrt (+ z 1.0))
0.3b
(cbrt (+ z 1.0))
0.3b
(cbrt (+ z 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
3.0ms
(cbrt (+ z 1.0))
3.0ms
(cbrt (+ z 1.0))
3.0ms
(cbrt (+ z 1.0))

series369.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
92.0ms
(cbrt (+ z 1.0))
89.0ms
(cbrt (+ z 1.0))
86.0ms
(cbrt (+ z 1.0))

simplify149.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0305792
1995747
24429669
35003665

prune235.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ z 1.0))
0.0b
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
0.0b
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
0.2b
(* (* (sqrt (+ x y)) (sqrt (+ z 1.0))) (* (sqrt (+ x y)) (sqrt (+ z 1.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
242×sqrt-div
144×frac-times
121×flip3-+ flip-+
68×pow1
48×associate-*r/ associate-*l/
41×pow-prod-down
30×add-sqr-sqrt
28×sqrt-prod
23×*-un-lft-identity
21×sqrt-pow1 pow1/2
20×add-exp-log add-cbrt-cube
15×associate-*r* associate-*l*
13×add-cube-cbrt
10×prod-exp cbrt-unprod
8×pow-prod-up unswap-sqr
7×sqrt-unprod
6×pow-sqr
5×distribute-lft-out
4×add-log-exp
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr rem-square-sqrt
Counts
4 → 220
Calls
4 calls:
3.0ms
(sqrt (+ z 1.0))
10.0ms
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
10.0ms
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
21.0ms
(* (* (sqrt (+ x y)) (sqrt (+ z 1.0))) (* (sqrt (+ x y)) (sqrt (+ z 1.0))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (+ z 1.0))
120.0ms
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
116.0ms
(* (sqrt (+ x y)) (sqrt (+ z 1.0)))
46.0ms
(* (* (sqrt (+ x y)) (sqrt (+ z 1.0))) (* (sqrt (+ x y)) (sqrt (+ z 1.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08683063
129372621
250022608

prune486.0ms

Filtered
232 candidates to 127 candidates (54.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2311232
Fresh101
Picked011
Done022
Total2324236

Merged error: 0b

Counts
236 → 4

regimes112.0ms

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 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample438.0ms

Algorithm
intervals
Results
239.0ms10176×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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