Details

Time bar (total: 4.5s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.069702%

Guaranteed chance to sample good point: 75.632527%

Results
9.0ms256×body80valid
1.0ms27×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: 1.3b

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))
2.0b
(* (/ x y) z)

rewrite22.0ms

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)
9.0ms
(- (/ (+ 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)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune280.0ms

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))
2.0b
(* (/ x y) z)

rewrite26.0ms

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:
7.0ms
(- (* (+ 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:
11.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
4.0ms
(* (+ x 4.0) (/ 1 y))
5.0ms
(* (/ x y) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0506559
12162502
25003481

prune123.0ms

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 x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) y) z)
3.6b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-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 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(* (/ (cbrt x) y) z)
12.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
34.0ms
(* (/ (cbrt x) y) z)
9.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0497794
12273631
25002542

prune131.0ms

Filtered
76 candidates to 121 candidates (-59.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done011
Total1216127

Merged error: 0.0b

Counts
127 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.1b
(* (/ x (cbrt y)) z)
3.4b
(* (/ 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)
7.0ms
(* (/ x (cbrt y)) z)
14.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
25.0ms
(* (/ x (cbrt y)) z)
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0510875
12079682
25001580

prune116.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 0.0b

Counts
133 → 6

regimes176.0ms

Accuracy

59.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch39.0ms

Steps
ItersRangePoint
7
2.501496200443994e+221
8.442863423881282e+222
2.537331135160342e+221
8
-5.347807041408604e-28
-8.415970966900462e-33
-4.045130865518068e-32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.069702%

Guaranteed chance to sample good point: 75.632527%

Results
301.0ms8000×body80valid
35.0ms902×body80invalid

Profiling

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