Details

Time bar (total: 1.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01379
11379

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ y (- x y)))
0.0b
(/ y (- x y))
8.1b
(* x (* 2.0 (/ y (- x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
9.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* 2.0 (/ y (- x y)))
9.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05083891

prune91.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1034107
Fresh011
Picked011
Done000
Total1036109

Merged error: 0.1b

Counts
109 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x y))
0.0b
(* 2.0 (* y (/ 1 (- x y))))
0.2b
(* y (/ 1 (- x y)))
8.1b
(* x (* 2.0 (* y (/ 1 (- x y)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
47×add-sqr-sqrt
41×*-un-lft-identity
34×add-cbrt-cube
32×times-frac
28×prod-exp
26×add-cube-cbrt
23×associate-*r*
21×pow1
16×cbrt-unprod
10×pow-prod-down
9×associate-*r/ associate-*l*
8×div-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×cbrt-undiv rec-exp 1-exp associate-/r/ add-log-exp
3×un-div-inv *-commutative associate-/l* unswap-sqr
2×flip3-- flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 136
Calls
4 calls:
6.0ms
(/ 1 (- x y))
9.0ms
(* 2.0 (* y (/ 1 (- x y))))
10.0ms
(* y (/ 1 (- x y)))
11.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- x y))
6.0ms
(* 2.0 (* y (/ 1 (- x y))))
5.0ms
(* y (/ 1 (- x y)))
8.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049801085
149801085

prune108.0ms

Filtered
81 candidates to 148 candidates (-82.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh044
Picked011
Done011
Total1486154

Merged error: 0.1b

Counts
154 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) -1)
0.0b
(* 2.0 (/ 1 (+ (/ x y) -1)))
0.4b
(/ 1 (+ (/ x y) -1))
8.1b
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
32×add-exp-log
27×add-cube-cbrt
25×associate-*r*
20×add-cbrt-cube
16×difference-of-sqr--1
13×prod-exp
12×pow1
8×distribute-lft-out
7×cbrt-unprod
6×div-exp associate-*l* associate-/r* add-log-exp
4×associate-*r/ pow-prod-down associate-/r/
3×cbrt-undiv rec-exp flip3-+ 1-exp flip-+ associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg clear-num sum-log inv-pow
Counts
4 → 130
Calls
4 calls:
6.0ms
(+ (/ x y) -1)
13.0ms
(* 2.0 (/ 1 (+ (/ x y) -1)))
8.0ms
(/ 1 (+ (/ x y) -1))
14.0ms
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (/ x y) -1)
6.0ms
(* 2.0 (/ 1 (+ (/ x y) -1)))
5.0ms
(/ 1 (+ (/ x y) -1))
7.0ms
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

simplify45.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052671273

prune136.0ms

Filtered
87 candidates to 142 candidates (-63.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1402142
Fresh123
Picked011
Done112
Total1426148

Merged error: 0.0b

Counts
148 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) -1)
8.6b
(/ (* x 2.0) (+ (/ x y) -1))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
6×difference-of-sqr--1 associate-/r*
4×add-cube-cbrt add-log-exp
3×distribute-lft-out
2×pow1 cbrt-undiv flip3-+ div-exp associate-/r/ flip-+
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
6.0ms
(+ (/ x y) -1)
9.0ms
(/ (* x 2.0) (+ (/ x y) -1))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (/ x y) -1)
7.0ms
(/ (* x 2.0) (+ (/ x y) -1))

simplify32.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05561460

prune46.0ms

Filtered
35 candidates to 49 candidates (-40.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh213
Picked011
Done022
Total50555

Merged error: 0.0b

Counts
55 → 5

regimes177.0ms

Accuracy

80.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04176
14176

end0.0ms

sample443.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid

Profiling

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