Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms274×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ 1.0 (* x 9.0))
6.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))

series24.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0528590
12266548
25001546

prune169.0ms

Filtered
71 candidates to 97 candidates (-36.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New851297
Fresh000
Picked101
Done000
Total861298

Merged error: 0b

Counts
98 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
101×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
9×div-inv
7×associate-/r*
6×difference-of-squares
5×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
31.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
12.0ms
(/ (/ y 3.0) (sqrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07751529
130131455
250021455

prune233.0ms

Filtered
124 candidates to 184 candidates (-48.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1822184
Fresh4711
Picked101
Done000
Total1879196

Merged error: 0b

Counts
196 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- flip-- div-inv
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp associate--l+ clear-num
1×associate--l- pow-prod-down *-commutative
Counts
4 → 150
Calls
4 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms
(/ y (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07821162
136341041
250021033

prune205.0ms

Filtered
110 candidates to 162 candidates (-47.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh178
Picked011
Done000
Total1629171

Merged error: 0b

Counts
171 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
0.2b
(/ y (sqrt x))
0.2b
(/ (/ y (sqrt x)) 3.0)
0.3b
(/ 1.0 (* x 9.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
109×add-sqr-sqrt
101×*-un-lft-identity
96×add-cube-cbrt
49×sqrt-prod
28×associate-/l*
16×add-exp-log add-cbrt-cube
10×associate-/r*
9×add-log-exp
7×div-inv
6×cbrt-undiv div-exp
4×pow1 difference-of-squares
3×frac-2neg diff-log clear-num distribute-lft-out--
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 190
Calls
4 calls:
30.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
4.0ms
(/ y (sqrt x))
8.0ms
(/ (/ y (sqrt x)) 3.0)
4.0ms
(/ 1.0 (* x 9.0))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
7.0ms
(/ y (sqrt x))
9.0ms
(/ (/ y (sqrt x)) 3.0)
2.0ms
(/ 1.0 (* x 9.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07931568
130721491
250011491

prune213.0ms

Filtered
143 candidates to 202 candidates (-41.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2020202
Fresh077
Picked011
Done011
Total2029211

Merged error: 0b

Counts
211 → 9

regimes116.0ms

Accuracy

0% (0.2b 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
0137
1137

end0.0ms

sample559.0ms

Algorithm
intervals
Results
366.0ms8506×body80valid

Profiling

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