Details

Time bar (total: 3.2s)

sample37.0ms

Algorithm
intervals
Results
12.0ms279×body80valid
11.0ms278×body80nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

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: 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
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite27.0ms

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))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
59.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune202.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New871097
Fresh000
Picked101
Done000
Total881098

Merged error: 0.0b

Counts
98 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 3.0 (sqrt x)) y)
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))
0.8b
(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
37×add-exp-log
31×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
7×pow1 div-inv associate-/l*
6×associate-*r* prod-exp
4×sqrt-prod cbrt-unprod add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow
Counts
4 → 120
Calls
4 calls:
5.0ms
(/ (* 3.0 (sqrt x)) y)
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series169.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (* 3.0 (sqrt x)) y)
37.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))
54.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0608748
12921637
25001600

prune198.0ms

Filtered
132 candidates to 78 candidates (59.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1293132
Fresh549
Picked011
Done000
Total1348142

Merged error: 0.0b

Counts
142 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ (sqrt x) y))
0.3b
(/ (sqrt x) y)
0.4b
(/ 1.0 (* x 9.0))
0.8b
(/ 1 (* 3.0 (/ (sqrt x) y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
44×times-frac
37×add-exp-log add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
22×associate-*r* sqrt-prod
13×div-exp
12×associate-/l*
9×pow1 prod-exp
8×cbrt-undiv
5×associate-/r* cbrt-unprod
4×div-inv add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num unswap-sqr
2×pow-flip associate-*r/ pow-prod-down
1×associate-/r/ *-commutative inv-pow
Counts
4 → 135
Calls
4 calls:
11.0ms
(* 3.0 (/ (sqrt x) y))
4.0ms
(/ (sqrt x) y)
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ 1 (* 3.0 (/ (sqrt x) y)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 3.0 (/ (sqrt x) y))
60.0ms
(/ (sqrt x) y)
15.0ms
(/ 1.0 (* x 9.0))
51.0ms
(/ 1 (* 3.0 (/ (sqrt x) y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0573797
12644686
25001680

prune232.0ms

Filtered
147 candidates to 92 candidates (62.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1461147
Fresh156
Picked101
Done101
Total1496155

Merged error: 0.0b

Counts
155 → 6

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))
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))
0.4b
(/ 1.0 (* x 9.0))

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:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
38.0ms
(/ y (sqrt x))
57.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07671171
135241033
250011025

prune293.0ms

Filtered
162 candidates to 112 candidates (69.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1602162
Fresh055
Picked011
Done000
Total1608168

Merged error: 0b

Counts
168 → 8

regimes96.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample1.0s

Algorithm
intervals
Results
369.0ms8537×body80valid
346.0ms8590×body80nan

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