Details

Time bar (total: 3.2s)

sample39.0ms

Algorithm
intervals
Results
13.0ms240×body80nan
13.0ms267×body80valid

simplify19.0ms

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

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

series171.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
64.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
44.0ms
(* 3.0 (sqrt x))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune212.0ms

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:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
20.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series163.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
39.0ms
(* 3.0 (sqrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0741956
12914892
25001892

prune298.0ms

Filtered
146 candidates to 112 candidates (76.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1451146
Fresh099
Picked101
Done000
Total14610156

Merged error: 0.0b

Counts
156 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×associate-*r*
5×pow1
4×sqrt-prod
3×times-frac diff-log associate-*l* associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp associate--l+ frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
3 → 64
Calls
3 calls:
12.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))

series153.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
65.0ms
(/ y (* 3.0 (sqrt x)))
40.0ms
(* 3.0 (sqrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0435479
11611433
25002419

prune150.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh189
Picked011
Done000
Total731083

Merged error: 0.0b

Counts
83 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
33×add-exp-log
28×times-frac
27×*-un-lft-identity
23×add-cube-cbrt add-cbrt-cube
19×associate-*r*
16×associate-*l*
10×div-exp prod-exp
9×add-log-exp
8×pow1 unswap-sqr
6×cbrt-undiv cbrt-unprod
4×sqrt-prod
3×diff-log div-inv associate-/l*
2×sub-neg rec-exp flip3-- 1-exp pow-prod-down associate--l+ *-commutative frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
7.0ms
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
11.0ms
(* (/ 1 x) (/ 1.0 9.0))

series166.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
62.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
18.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0744826
13296713
25003706

prune225.0ms

Filtered
131 candidates to 93 candidates (71.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh178
Picked011
Done011
Total13110141

Merged error: 0.0b

Counts
141 → 10

regimes68.0ms

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
0126
1126

end0.0ms

sample1.1s

Algorithm
intervals
Results
410.0ms8513×body80valid
376.0ms8425×body80nan

Profiling

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