Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.1b
(/ (* 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)

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune66.0ms

Filtered
53 candidates to 35 candidates (34.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0b

Counts
54 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ z (+ (- y z) 1.0))
9.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify88.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
04551177
121101129
250031126

prune159.0ms

Filtered
145 candidates to 93 candidates (35.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh415
Picked011
Done011
Total1475152

Merged error: 0b

Counts
152 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.3b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.3b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
8.0ms
(/ z (+ (- y z) 1.0))
24.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
11.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series24.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ z (+ (- y z) 1.0))
8.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
10.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
444 → 444
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012744863
150014382

prune426.0ms

Filtered
444 candidates to 240 candidates (45.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4440444
Fresh022
Picked011
Done022
Total4445449

Merged error: 0b

Counts
449 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
0.3b
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.2b
(/ z (* x (+ (- y z) 1.0)))

rewrite31.0ms

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))
11.0ms
(/ 1 (/ z (* x (+ (- y z) 1.0))))
8.0ms
(/ z (* x (+ (- y z) 1.0)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ 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 (50.0ms)

IterNodesCost
0458853
12421731
25001682

prune81.0ms

Filtered
120 candidates to 64 candidates (46.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done033
Total1205125

Merged error: 0b

Counts
125 → 5

regimes219.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.0b

bsearch25.0ms

Steps
ItersRangePoint
5
3.4907260023923844e-32
1.3036357916257974e-31
1.0393314340712293e-31
7
-1.3296035575702605e+21
-3.3201331564210946e+19
-4.562900277605527e+19

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample646.0ms

Algorithm
intervals
Results
283.0ms10254×body80valid

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