Details

Time bar (total: 3.2s)

sample45.0ms

Algorithm
intervals
Results
17.0ms319×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune6.0ms

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

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
17.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series33.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0254285
11225238
25001238

prune128.0ms

Filtered
53 candidates to 35 candidates (34.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh000
Picked011
Done000
Total49554

Merged error: 0b

Counts
54 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.6b
(/ x (/ z (+ (- y z) 1.0)))

rewrite50.0ms

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:
14.0ms
(/ z (+ (- y z) 1.0))
21.0ms
(/ x (/ z (+ (- y z) 1.0)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ z (+ (- y z) 1.0))
15.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
04551177
121101129
250031126

prune265.0ms

Filtered
145 candidates to 93 candidates (35.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh213
Picked011
Done011
Total1455150

Merged error: 0b

Counts
150 → 5

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.1b
(* z (/ 1 (+ (- y z) 1.0)))
1.6b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
14.0ms
(/ 1 (+ (- y z) 1.0))
26.0ms
(* z (/ 1 (+ (- y z) 1.0)))
23.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series41.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (+ (- y z) 1.0))
12.0ms
(* z (/ 1 (+ (- y z) 1.0)))
19.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0377683
11729567
25002515

prune226.0ms

Filtered
121 candidates to 62 candidates (48.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done022
Total1215126

Merged error: 0b

Counts
126 → 5

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
2.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
16.0ms
(/ (+ (- y z) 1.0) z)
25.0ms
(* x (/ (+ (- y z) 1.0) z))

series26.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (+ (- y z) 1.0) z)
18.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0267479
11167438
25001432

prune130.0ms

Filtered
82 candidates to 49 candidates (40.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done033
Total82587

Merged error: 0b

Counts
87 → 5

regimes416.0ms

Accuracy

85.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch64.0ms

Steps
ItersRangePoint
9
2.1088222951041838e-63
8.673593847597065e-54
1.5425955820948974e-59
9
-4.746104528235953e-132
-4.7932540440409387e-138
-4.718103929418619e-135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample1.1s

Algorithm
intervals
Results
523.0ms10097×body80valid

Profiling

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