Details

Time bar (total: 2.5s)

sample72.0ms

Algorithm
intervals
Results
20.0ms277×body80valid
19.0ms280×body80nan

simplify121.0ms

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

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
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×associate-*r*
10×pow1
add-cube-cbrt
prod-exp cbrt-unprod
associate-*l* pow-prod-down sqrt-prod
distribute-rgt-in distribute-lft-in times-frac associate-/l* add-log-exp
cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
3 → 72
Calls
3 calls:
11.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series19.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0456491
12404431
25001429

prune144.0ms

Filtered
53 candidates to 81 candidates (-52.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New691281
Fresh000
Picked101
Done000
Total701282

Merged error: 0.0b

Counts
82 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
11×*-un-lft-identity
pow1 add-exp-log add-cbrt-cube
add-cube-cbrt
associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
distribute-rgt-in distribute-lft-in
sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- add-log-exp unswap-sqr
flip3-- flip-- distribute-lft-out difference-of-squares
Counts
2 → 51
Calls
2 calls:
14.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms
(* 3.0 (sqrt x))

series17.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
4.0ms
(* 3.0 (sqrt x))

simplify52.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0363377
11905335
25002333

prune105.0ms

Filtered
36 candidates to 57 candidates (-58.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh5611
Picked101
Done000
Total581169

Merged error: 0.0b

Counts
69 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
11×*-un-lft-identity
pow1 add-exp-log associate-*l* add-cbrt-cube
associate-*r*
add-cube-cbrt sub-neg associate-*r/ associate--l+
pow-prod-down prod-exp sqrt-prod cbrt-unprod
flip3-- *-commutative flip-- distribute-lft-out-- add-log-exp unswap-sqr
distribute-lft-out difference-of-squares
Counts
2 → 65
Calls
2 calls:
11.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
12.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
12.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0384562
11626510
25003510

prune103.0ms

Filtered
41 candidates to 71 candidates (-73.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh1910
Picked011
Done000
Total711182

Merged error: 0.0b

Counts
82 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.4b
(* (cbrt 3.0) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
36×pow1
28×add-cbrt-cube
23×prod-exp cbrt-unprod
22×pow-prod-down
21×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×add-cube-cbrt
associate-*l*
cbrt-prod sqrt-prod
add-log-exp unswap-sqr
distribute-rgt-in distribute-lft-in times-frac *-commutative associate-/l*
cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ distribute-lft-out--
flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
4 → 108
Calls
4 calls:
17.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
5.0ms
(* (cbrt 3.0) (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series31.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
6.0ms
(* (cbrt 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06071133
13235862
25002805

prune185.0ms

Filtered
72 candidates to 120 candidates (-66.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh189
Picked101
Done011
Total11912131

Merged error: 0b

Counts
131 → 12

regimes149.0ms

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
0146
1146

end0.0ms

sample1.1s

Algorithm
intervals
Results
349.0ms8645×body80nan
348.0ms8522×body80valid

Profiling

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