Details

Time bar (total: 2.7s)

sample33.0ms

Algorithm
intervals
Results
20.0ms449×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0237
1596
21116
32046
43696
58396
621686
750016

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.5b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
3.7b
(- (+ (* x x) (* y y)) (* z z))
27.6b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-log-exp
8×add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 expm1-log1p-u fma-neg prod-diff log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg fma-def frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 65
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series152.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x x) (* y y))
40.0ms
(- (+ (* x x) (* y y)) (* z z))
81.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0365571
11599486
25002469

prune174.0ms

Filtered
74 candidates to 57 candidates (77.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New70474
Fresh101
Picked101
Done000
Total72476

Merged error: 8.6b

Counts
76 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0b
(/ (pow z 2) y)
8.6b
(/ (pow x 2) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
148×times-frac
138×add-sqr-sqrt
126×add-cube-cbrt
112×prod-diff
61×unpow-prod-down
30×distribute-lft-out
21×unpow2 sqr-pow
16×associate-/l*
13×add-exp-log
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/r* div-inv
5×difference-of-squares
4×fma-neg
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num frac-sub distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 243
Calls
3 calls:
23.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series79.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
19.0ms
(/ (pow z 2) y)
20.0ms
(/ (pow x 2) y)

simplify108.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09574380
132313066
250022871

prune329.0ms

Filtered
252 candidates to 103 candidates (40.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2493252
Fresh123
Picked101
Done000
Total2515256

Merged error: 0.8b

Counts
256 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.2b
(* z (/ z y))
8.6b
(/ (pow x 2) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
34×*-un-lft-identity times-frac
30×add-cube-cbrt
13×add-exp-log associate-*r*
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/l* add-log-exp
5×pow1
4×fma-neg div-exp prod-diff unpow2 sqr-pow
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv diff-log prod-exp frac-sub cbrt-unprod div-inv distribute-lft-out unswap-sqr
1×pow-to-exp sub-neg flip3-- frac-2neg flip3-+ pow-prod-down pow-exp associate--l+ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 111
Calls
3 calls:
11.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
6.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series79.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
18.0ms
(* z (/ z y))
19.0ms
(/ (pow x 2) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0451667
11889597
25002591

prune219.0ms

Filtered
120 candidates to 80 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh134
Picked011
Done000
Total1205125

Merged error: 0.0b

Counts
125 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 92
Calls
3 calls:
5.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
6.0ms
(* z (/ z y))
6.0ms
(* x (/ x y))

series78.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
18.0ms
(* z (/ z y))
19.0ms
(* x (/ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0462544
12217475
25001468

prune163.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 0.0b

Counts
106 → 5

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample839.0ms

Algorithm
intervals
Results
554.0ms13600×body80valid

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