Details

Time bar (total: 2.6s)

sample46.0ms

Algorithm
intervals
Results
14.0ms329×body80nan
11.0ms272×body80valid

simplify104.0ms

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:

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

rewrite21.0ms

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))

series18.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* (* 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))

simplify57.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0456491
12404431
25001429

prune134.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New701181
Fresh000
Picked101
Done000
Total711182

Merged error: 0.0b

Counts
82 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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
add-cube-cbrt associate-*l*
associate-*r*
sub-neg associate-*r/ associate--l+
prod-exp cbrt-unprod
pow-prod-down sqrt-prod
times-frac associate-/l* add-log-exp
cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
3 → 86
Calls
3 calls:
19.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
18.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
17.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0478719
12120644
25001644

prune123.0ms

Filtered
58 candidates to 95 candidates (-63.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New91495
Fresh4610
Picked101
Done000
Total9610106

Merged error: 0.0b

Counts
106 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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))
4.0ms
(* 3.0 (sqrt x))

series15.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0363377
11905335
25002333

prune91.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh189
Picked011
Done000
Total571067

Merged error: 0.0b

Counts
67 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

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
associate-*r*
sqrt-prod add-log-exp
cbrt-prod flip3-- times-frac *-commutative flip-- associate-/l*
cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
18.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
11.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms
(/ 1.0 (* x 9.0))

series46.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
10.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
2.0ms
(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08071792
132401420
250011358

prune184.0ms

Filtered
79 candidates to 155 candidates (-96.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1541155
Fresh178
Picked011
Done011
Total15510165

Merged error: 0.0b

Counts
165 → 10

regimes197.0ms

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

sample1.2s

Algorithm
intervals
Results
364.0ms8532×body80valid
357.0ms8658×body80nan

Profiling

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