Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(* x (+ (- y z) 1.0))
10.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/ distribute-lft-out
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv associate-+l+ div-exp prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in associate-+l- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 64
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
9.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series86.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (- y z) 1.0)
30.0ms
(* x (+ (- y z) 1.0))
42.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0275354
11251300
25002300

prune112.0ms

Filtered
73 candidates to 47 candidates (64.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh000
Picked101
Done000
Total69574

Merged error: 0.0b

Counts
74 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
138×times-frac
71×add-sqr-sqrt add-cube-cbrt
34×distribute-lft-out
26×associate-/r*
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×flip3-+ flip-+ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1
2×associate-+l+ frac-2neg clear-num sum-log
1×+-commutative associate-+l- sub-neg diff-log
Counts
3 → 156
Calls
3 calls:
6.0ms
(+ (- y z) 1.0)
11.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (- y z) 1.0)
50.0ms
(/ z (+ (- y z) 1.0))
40.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04761246
121491191
250011188

prune258.0ms

Filtered
165 candidates to 106 candidates (64.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1632165
Fresh314
Picked011
Done000
Total1664170

Merged error: 0b

Counts
170 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(/ 1 (+ (- y z) 1.0))
0.2b
(* z (/ 1 (+ (- y z) 1.0)))
3.3b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
35×times-frac
33×add-sqr-sqrt
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
16×distribute-lft-out
11×div-exp
9×add-log-exp
8×prod-exp distribute-lft-out--
7×pow1
6×cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp flip3-+ 1-exp associate-*l* flip-+ div-inv unswap-sqr
2×associate-+l+ frac-2neg associate-*r/ clear-num sum-log un-div-inv
1×+-commutative associate-+l- sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 129
Calls
4 calls:
7.0ms
(+ (- y z) 1.0)
8.0ms
(/ 1 (+ (- y z) 1.0))
14.0ms
(* z (/ 1 (+ (- y z) 1.0)))
12.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (- y z) 1.0)
35.0ms
(/ 1 (+ (- y z) 1.0))
49.0ms
(* z (/ 1 (+ (- y z) 1.0)))
41.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0411752
11807629
25003577

prune158.0ms

Filtered
141 candidates to 75 candidates (53.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh022
Picked011
Done011
Total1414145

Merged error: 0b

Counts
145 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- y z) 1.0)
8.6b
(* (/ x z) (+ (- y z) 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×pow1 distribute-lft-out
3×flip3-+ flip-+
2×frac-times associate-+l+ associate-*r/ prod-exp sum-log cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 57
Calls
2 calls:
6.0ms
(+ (- y z) 1.0)
11.0ms
(* (/ x z) (+ (- y z) 1.0))

series58.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (- y z) 1.0)
44.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0355336
11356301
25001295

prune86.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done022
Total63467

Merged error: 0b

Counts
67 → 4

regimes76.0ms

Accuracy

91.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch58.0ms

Steps
ItersRangePoint
6
7.198351991956601e-42
3.2635295790109057e-41
1.671779098365944e-41
9
-8.968357711771601e+58
-3.09649792286329e+52
-1.9170428803333407e+53

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample508.0ms

Algorithm
intervals
Results
291.0ms10032×body80valid

Profiling

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