Details

Time bar (total: 3.2s)

sample34.0ms

Algorithm
intervals
Results
11.0ms273×body80valid
10.0ms266×body80nan

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

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: 0.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 3.0 (sqrt x))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.8b
(/ 1.0 (* x 9.0))

rewrite27.0ms

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:
5.0ms
(* 3.0 (sqrt x))
15.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(/ 1.0 (* x 9.0))

series116.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 3.0 (sqrt x))
64.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms
(/ 1.0 (* x 9.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0404481
12021414
25001412

prune161.0ms

Filtered
81 candidates to 51 candidates (63.0%)
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:

0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.8b
(/ 1.0 (* x 9.0))

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:
14.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms
(/ 1.0 (* x 9.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
63.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
15.0ms
(/ 1.0 (* x 9.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0375703
11706622
25003622

prune160.0ms

Filtered
95 candidates to 56 candidates (58.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New90595
Fresh5611
Picked101
Done000
Total9611107

Merged error: 0.0b

Counts
107 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×pow1
13×*-un-lft-identity
11×add-cube-cbrt associate-*l*
8×associate-*r* prod-exp cbrt-unprod
7×pow-prod-down
4×associate-*l/ sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv flip3-- associate-*r/ div-exp flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
13.0ms
(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
11.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
5.0ms
(* 3.0 (* y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series205.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
70.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
56.0ms
(* 3.0 (* y (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0448604
11903514
25001512

prune192.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01010
Picked011
Done000
Total9711108

Merged error: 0.0b

Counts
108 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
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)))
0.8b
(/ 1.0 (* x 9.0))

rewrite56.0ms

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:
12.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
14.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
5.0ms
(/ 1.0 (* x 9.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
95.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
135.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06811766
127371381
250031319

prune221.0ms

Filtered
155 candidates to 76 candidates (49.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1541155
Fresh189
Picked011
Done011
Total15511166

Merged error: 0b

Counts
166 → 11

regimes143.0ms

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
02010
12010

end0.0ms

sample964.0ms

Algorithm
intervals
Results
349.0ms8522×body80valid
336.0ms8565×body80nan