Details

Time bar (total: 4.5s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.945679%

Guaranteed chance to sample good point: 78.840354%

Results
9.0ms256×body80valid
1.0ms29×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.7b
(* (/ x y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune258.0ms

Filtered
63 candidates to 88 candidates (-39.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b
(* (+ x 4.0) (/ 1 y))
2.7b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×add-exp-log associate-*l*
16×associate-*r*
13×associate-*l/ add-cbrt-cube
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×associate-*r/ div-exp un-div-inv
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×sub-neg rec-exp flip3-- diff-log 1-exp flip-- distribute-lft-out
Counts
3 → 93
Calls
3 calls:
8.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
9.0ms
(* (+ x 4.0) (/ 1 y))
6.0ms
(* (/ x y) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
7.0ms
(* (+ x 4.0) (/ 1 y))
5.0ms
(* (/ x y) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0506559
12162502
25003481

prune119.0ms

Filtered
70 candidates to 102 candidates (-45.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done000
Total1026108

Merged error: 0.0b

Counts
108 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ x (cbrt y)) z)
2.1b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* (/ x (cbrt y)) z)
14.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(* (/ x (cbrt y)) z)
12.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0510875
12079682
25001580

prune133.0ms

Filtered
77 candidates to 127 candidates (-64.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh044
Picked011
Done011
Total1267133

Merged error: 0b

Counts
133 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
1.0b
(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z)))
1.4b
(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z))
1.4b
(* (/ x (cbrt y)) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
33×associate-*l*
32×pow1
31×add-sqr-sqrt
29×prod-exp add-cbrt-cube cbrt-unprod
27×cbrt-div
26×times-frac
24×cbrt-prod
23×add-cube-cbrt *-un-lft-identity associate-*l/
19×pow-prod-down
18×frac-times
12×associate-*r/
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×*-commutative div-inv unswap-sqr
1×pow1/3
Counts
4 → 135
Calls
4 calls:
5.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
22.0ms
(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z)))
10.0ms
(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z))
8.0ms
(* (/ x (cbrt y)) z)

series121.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
10.0ms
(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z)))
50.0ms
(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) z))
22.0ms
(* (/ x (cbrt y)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06291862
124001420
250021300

prune232.0ms

Filtered
97 candidates to 147 candidates (-51.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh044
Picked011
Done022
Total1477154

Merged error: 0b

Counts
154 → 7

regimes178.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 9.945679%

Guaranteed chance to sample good point: 78.840354%

Results
308.0ms8000×body80valid
39.0ms1046×body80invalid

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