Details

Time bar (total: 1.8s)

sample27.0ms

Algorithm
intervals
Results
14.0ms324×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0254285
11225238
25001238

prune60.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh000
Picked011
Done000
Total49554

Merged error: 0b

Counts
54 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b
(* x (/ (+ (- y z) 1.0) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×associate-*r*
16×add-sqr-sqrt times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
3×pow1 associate-*l* distribute-lft-out--
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
13.0ms
(* x (/ (+ (- y z) 1.0) z))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify88.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206237
1967210
24343210
35002210

prune42.0ms

Filtered
23 candidates to 41 candidates (-78.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh033
Picked011
Done011
Total41546

Merged error: 0b

Counts
46 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.8b
(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
12.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0397447
12128364
25001351

prune58.0ms

Filtered
40 candidates to 72 candidates (-80.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done022
Total72577

Merged error: 0b

Counts
77 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
0.2b
(/ 1 (/ z (* x (+ (- y z) 1.0))))
10.8b
(/ z (* x (+ (- y z) 1.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
30×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num distribute-lft-out
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- inv-pow unswap-sqr
Counts
3 → 111
Calls
3 calls:
8.0ms
(* x (+ (- y z) 1.0))
12.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.0ms
(/ z (* x (+ (- y z) 1.0)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (+ (- y z) 1.0))
8.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
11.0ms
(/ z (* x (+ (- y z) 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0458853
12421731
25001682

prune109.0ms

Filtered
65 candidates to 120 candidates (-84.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done033
Total1205125

Merged error: 0b

Counts
125 → 5

regimes329.0ms

Accuracy

94.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch24.0ms

Steps
ItersRangePoint
7
5.814695199706955e-57
1.1359181785720462e-54
2.9544225745743577e-55
5
-1.5787388152291675e+27
-5.528732263234185e+26
-5.600729372160211e+26

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample646.0ms

Algorithm
intervals
Results
298.0ms10132×body80valid

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