Details

Time bar (total: 3.1s)

analyze737.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 13.386886%

Guaranteed chance to sample good point: 82.514161%

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms23×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: 0.5b

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))
1.1b
(* (/ 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)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify113.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune110.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh000
Picked011
Done000
Total85489

Merged error: 0b

Counts
89 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
2.9b
(/ (- (+ x 4.0) (* x z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- (+ x 4.0) (* x z))
7.0ms
(/ (- (+ x 4.0) (* x z)) y)

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (+ x 4.0) (* x z))
9.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify80.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0206339
1735314
23228314
35001314

prune63.0ms

Filtered
37 candidates to 50 candidates (-35.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454

Merged error: 0b

Counts
54 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.7b
(* x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
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:
7.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms
(* x (/ z y))

series18.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0349430
11432403
25002403

prune88.0ms

Filtered
61 candidates to 88 candidates (-44.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492

Merged error: 0b

Counts
92 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (cbrt (pow (* (/ x y) z) 3)))
0.3b
(pow (* (/ x y) z) 3)
1.1b
(* (/ x y) z)
29.1b
(cbrt (pow (* (/ x y) z) 3))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
16×*-un-lft-identity
15×add-exp-log add-cbrt-cube
14×add-cube-cbrt
13×times-frac associate-*l*
12×cbrt-prod
9×pow1
6×add-log-exp difference-of-squares
4×associate-*l/ prod-exp cbrt-unprod sqr-pow
3×cube-div pow-unpow associate-*r* pow-exp rem-cube-cbrt
2×cbrt-undiv cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod div-exp pow-prod-down unswap-sqr
1×pow-to-exp sub-neg flip3-- pow1/3 diff-log *-commutative frac-sub flip-- rem-cbrt-cube div-inv distribute-lft-out--
Counts
4 → 95
Calls
4 calls:
14.0ms
(- (/ (+ x 4.0) y) (cbrt (pow (* (/ x y) z) 3)))
5.0ms
(pow (* (/ x y) z) 3)
6.0ms
(* (/ x y) z)
2.0ms
(cbrt (pow (* (/ x y) z) 3))

series44.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (/ (+ x 4.0) y) (cbrt (pow (* (/ x y) z) 3)))
15.0ms
(pow (* (/ x y) z) 3)
5.0ms
(* (/ x y) z)
8.0ms
(cbrt (pow (* (/ x y) z) 3))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0357576
11552522
25002517

prune131.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done033
Total1074111

Merged error: 0b

Counts
111 → 4

regimes246.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

analyze705.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 13.386886%

Guaranteed chance to sample good point: 82.514161%

sample502.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
28.0ms785×body80invalid

Profiling

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