Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
9.0ms303×body80nan
8.0ms266×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1657
21907
34127
46447
510837
616287
722737
837237
950017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 119
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
4.0ms
(/ 1.0 (* x 9.0))
12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms
(* 3.0 (sqrt x))

series144.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
16.0ms
(/ 1.0 (* x 9.0))
65.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms
(* 3.0 (sqrt x))

simplify76.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05941130
12890878
25001872

prune251.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
75×times-frac
71×add-sqr-sqrt
65×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×div-inv
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-/r*
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 168
Calls
4 calls:
12.0ms
(+ y (/ (/ 1.0 x) 9.0))
6.0ms
(/ (/ 1.0 x) 9.0)
24.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms
(* 3.0 (sqrt x))

series151.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (/ 1.0 x) 9.0))
16.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
39.0ms
(* 3.0 (sqrt x))

simplify96.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08181496
137491238
250031234

prune398.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(/ 1.0 (* x 9.0))
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))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 181
Calls
4 calls:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
7.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
12.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (/ 1.0 (* x 9.0)))
17.0ms
(/ 1.0 (* x 9.0))
68.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06332404
126651754
250021748

prune282.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
56×add-sqr-sqrt
50×add-cube-cbrt
20×distribute-lft-out
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ difference-of-squares
Counts
3 → 158
Calls
3 calls:
6.0ms
(+ y (/ 0.1111111111111111 x))
13.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
16.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ y (/ 0.1111111111111111 x))
66.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
66.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05492098
120631484
250011478

prune191.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes86.0ms

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

sample793.0ms

Algorithm
intervals
Results
264.0ms8544×body80valid
263.0ms8587×body80nan