Details

Time bar (total: 2.7s)

sample38.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
10.0ms255×body80nan

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×associate-*r*
10×pow1
9×add-cube-cbrt
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l* add-log-exp
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
3 → 72
Calls
3 calls:
4.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms
(* 3.0 (sqrt x))

series21.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(* 3.0 (sqrt x))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0456491
12404431
25001429

prune144.0ms

Filtered
81 candidates to 53 candidates (34.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New691281
Fresh000
Picked101
Done000
Total701282

Merged error: 0.0b

Counts
82 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log distribute-rgt-in add-sqr-sqrt distribute-lft-in add-cbrt-cube
14×*-un-lft-identity
10×pow1
9×add-cube-cbrt associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
3 → 86
Calls
3 calls:
12.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0478719
12120644
25002644

prune134.0ms

Filtered
95 candidates to 58 candidates (38.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh3811
Picked011
Done000
Total9512107

Merged error: 0.0b

Counts
107 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
55×add-sqr-sqrt
54×*-un-lft-identity
49×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×associate-/l*
12×associate-*r*
10×pow1
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r* add-log-exp
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×flip3-- frac-2neg clear-num flip-- associate-/l/ distribute-lft-out difference-of-squares
Counts
3 → 121
Calls
3 calls:
6.0ms
(/ (/ 1.0 x) 9.0)
19.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms
(* 3.0 (sqrt x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ (/ 1.0 x) 9.0)
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
4.0ms
(* 3.0 (sqrt x))

simplify84.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0677857
13206791
25001791

prune203.0ms

Filtered
130 candidates to 96 candidates (26.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh01010
Picked011
Done011
Total13012142

Merged error: 0.0b

Counts
142 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
0.4b
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
11×add-cube-cbrt
8×associate-*r*
4×sqrt-prod add-log-exp
3×cbrt-prod flip3-- times-frac *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
11.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))
21.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
13.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
2.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
17.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08071792
132401420
250011358

prune193.0ms

Filtered
155 candidates to 78 candidates (49.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1532155
Fresh369
Picked011
Done022
Total15611167

Merged error: 0b

Counts
167 → 11

regimes137.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.1s

Algorithm
intervals
Results
353.0ms8541×body80valid
343.0ms8676×body80nan

Profiling

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