Details

Time bar (total: 3.5s)

sample472.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.75%

Results
12.0ms333×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.7b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
10.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune78.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 9.5b

Counts
58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.9b
(/ x (* z z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune139.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1097116
Fresh617
Picked011
Done000
Total1159124

Merged error: 0.0b

Counts
124 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
34.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
19.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08641542
141421209
250011098

prune177.0ms

Filtered
102 candidates to 155 candidates (-52.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1505155
Fresh167
Picked101
Done101
Total15311164

Merged error: 0.0b

Counts
164 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (cbrt (/ y (+ z 1.0)))))
8.8b
(cbrt (/ y (+ z 1.0)))
8.8b
(cbrt (/ y (+ z 1.0)))
8.8b
(cbrt (/ y (+ z 1.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
57×prod-exp cbrt-unprod
54×cbrt-prod
52×add-cbrt-cube
51×cbrt-div
49×frac-times
48×*-un-lft-identity
39×times-frac
37×associate-*r/
30×add-sqr-sqrt add-cube-cbrt
27×associate-*l/
18×pow1 cbrt-undiv div-exp
10×pow-prod-down
9×distribute-lft-out
7×associate-*l*
6×associate-/r/
4×div-inv add-log-exp
3×flip3-+ pow1/3 flip-+
1×associate-*r* *-commutative
Counts
4 → 168
Calls
4 calls:
32.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (cbrt (/ y (+ z 1.0)))))
4.0ms
(cbrt (/ y (+ z 1.0)))
4.0ms
(cbrt (/ y (+ z 1.0)))
4.0ms
(cbrt (/ y (+ z 1.0)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (* (/ (cbrt x) z) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (cbrt (/ y (+ z 1.0)))))
22.0ms
(cbrt (/ y (+ z 1.0)))
18.0ms
(cbrt (/ y (+ z 1.0)))
18.0ms
(cbrt (/ y (+ z 1.0)))

simplify111.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
010232983
143522347
250032128

prune272.0ms

Filtered
106 candidates to 180 candidates (-69.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1791180
Fresh2810
Picked101
Done000
Total1829191

Merged error: 0.0b

Counts
191 → 9

regimes188.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.75%

Results
608.0ms10720×body80valid

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