Details

Time bar (total: 1.6s)

sample37.0ms

Algorithm
intervals
Results
15.0ms324×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1184
2324
3474
4574
5754
61094
71784
83974
913694
1050014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
8.8b
(/ (+ x (* y (- z x))) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(* y (- z x))
3.0ms
(+ x (* y (- z x)))
5.0ms
(/ (+ x (* y (- z x))) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
7.0ms
(+ x (* y (- z x)))
13.0ms
(/ (+ x (* y (- z x))) z)

simplify110.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0259420
11042388
24770388
35001388

prune89.0ms

Filtered
54 candidates to 79 candidates (-46.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780

Merged error: 2.3b

Counts
80 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
0.0b
(+ (/ x z) y)
5.9b
(/ (* x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
10.0ms
(- (+ (/ x z) y) (/ (* x y) z))
6.0ms
(+ (/ x z) y)
4.0ms
(/ (* x y) z)

series17.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (+ (/ x z) y) (/ (* x y) z))
5.0ms
(+ (/ x z) y)
5.0ms
(/ (* x y) z)

simplify31.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0253328
11102308
25001304

prune63.0ms

Filtered
41 candidates to 61 candidates (-48.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh336
Picked011
Done000
Total62668

Merged error: 0b

Counts
68 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
0.0b
(+ (/ x z) y)
5.4b
(/ x (/ z y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
52×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×div-inv
3×pow1 cbrt-undiv div-exp associate-/l* difference-of-squares
2×flip3-+ diff-log sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r/ flip--
Counts
3 → 103
Calls
3 calls:
22.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
6.0ms
(+ (/ x z) y)
6.0ms
(/ x (/ z y))

series18.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
5.0ms
(+ (/ x z) y)
5.0ms
(/ x (/ z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0484731
11905706
25002701

prune98.0ms

Filtered
86 candidates to 112 candidates (-30.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done011
Total1126118

Merged error: 0b

Counts
118 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (* x (/ y z)))
0.0b
(+ (/ x z) y)
5.3b
(* x (/ y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
3×associate-*r/ associate-*l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out
Counts
3 → 60
Calls
3 calls:
8.0ms
(- (+ (/ x z) y) (* x (/ y z)))
6.0ms
(+ (/ x z) y)
6.0ms
(* x (/ y z))

series17.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (+ (/ x z) y) (* x (/ y z)))
5.0ms
(+ (/ x z) y)
5.0ms
(* x (/ y z))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0311352
11363332
25002328

prune51.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh033
Picked011
Done022
Total69675

Merged error: 0b

Counts
75 → 6

regimes176.0ms

Accuracy

86.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch34.0ms

Steps
ItersRangePoint
9
6.339642639367823e-48
6.384390289332587e-42
4.2214691467888034e-44
8
-3.880653303392819e+138
-2.939597377460322e+135
-1.8656980950261925e+136

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample578.0ms

Algorithm
intervals
Results
288.0ms10087×body80valid

Profiling

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