Details

Time bar (total: 7.5s)

sample28.0ms

Algorithm
intervals
Results
8.0ms269×body80valid
7.0ms256×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
14.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
5.0ms
(/ 1.0 (* x 9.0))

series161.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
41.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07682009
130771504
250021453

prune342.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
33.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series155.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
56.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ (/ 1.0 x) 9.0)
41.0ms
(* 3.0 (sqrt x))

simplify81.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014975667
150014916

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
336×times-frac
276×add-sqr-sqrt
238×*-un-lft-identity
231×add-cube-cbrt
136×prod-diff
131×associate--l+
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
20×div-inv
16×associate-/l*
13×associate-*l*
12×div-exp
9×associate-/r* add-log-exp unswap-sqr
8×cbrt-undiv prod-exp
7×fma-neg
6×pow1 frac-sub difference-of-squares
4×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 350
Calls
4 calls:
29.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
8.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
44.0ms
(/ y (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)
60.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015985044
150024565

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (sqrt 1.0) x) (sqrt 9.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (/ (/ (sqrt 1.0) 1) (sqrt 9.0)))
1.7b
(+ (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0))) (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0)) (/ y (* 3.0 (sqrt x)))))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
1058×times-frac
804×add-sqr-sqrt
521×sqrt-prod
476×*-un-lft-identity
438×add-cube-cbrt
142×associate-*r*
139×associate-*l*
79×unswap-sqr
72×associate-+r+
70×prod-diff
59×add-exp-log
47×add-cbrt-cube
41×div-inv
30×div-exp
24×fma-def
22×associate-/l*
21×cbrt-undiv
14×add-log-exp
13×prod-exp
12×distribute-rgt-neg-in
10×distribute-lft-neg-in cbrt-unprod
8×pow1
6×associate-/r*
4×expm1-log1p-u sum-log log1p-expm1-u distribute-lft-out
3×1-exp frac-add distribute-neg-frac
2×diff-log pow-prod-down neg-log *-commutative distribute-lft-out--
1×+-commutative neg-sub0 frac-times associate-+l- associate-+r- neg-mul-1 sub-neg flip3-- frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num frac-sub flip-- flip-+ associate-/l/
Counts
4 → 706
Calls
4 calls:
10.0ms
(/ (/ (sqrt 1.0) x) (sqrt 9.0))
5.0ms
(* 3.0 (sqrt x))
240.0ms
(* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (/ (/ (sqrt 1.0) 1) (sqrt 9.0)))
38.0ms
(+ (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0))) (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0)) (/ y (* 3.0 (sqrt x)))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (/ (sqrt 1.0) x) (sqrt 9.0))
36.0ms
(* 3.0 (sqrt x))
157.0ms
(* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (/ (/ (sqrt 1.0) 1) (sqrt 9.0)))
66.0ms
(+ (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0))) (- (/ (* (/ (/ (sqrt 1.0) x) (sqrt 9.0)) (sqrt 1.0)) (sqrt 9.0)) (/ y (* 3.0 (sqrt x)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
718 → 718
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0263210367
150019557

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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
0178
1178

end0.0ms

sample766.0ms

Algorithm
intervals
Results
264.0ms8540×body80valid
243.0ms8404×body80nan