Details

Time bar (total: 4.1s)

sample34.0ms

Algorithm
intervals
Results
11.0ms296×body80nan
9.0ms278×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1657
21907
34127
46447
510837
616287
722737
837237
950017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))

rewrite94.0ms

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:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
78.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ y (/ 1.0 (* x 9.0)))
64.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05941130
12888878
25001872

prune239.0ms

Filtered
131 candidates to 75 candidates (57.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

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)))
88.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
92.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms
(/ 1.0 (* x 9.0))

series164.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
54.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06332404
126631754
250021748

prune257.0ms

Filtered
193 candidates to 84 candidates (43.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite645.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt
93×add-cube-cbrt
75×distribute-rgt-in distribute-lft-in times-frac
72×prod-diff
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 230
Calls
4 calls:
17.0ms
(+ y (/ (/ 1.0 x) 9.0))
313.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
298.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
6.0ms
(/ (/ 1.0 x) 9.0)

series168.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ (/ 1.0 x) 9.0))
55.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
67.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
16.0ms
(/ (/ 1.0 x) 9.0)

simplify97.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08562770
135652116
250012110

prune393.0ms

Filtered
242 candidates to 127 candidates (52.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
28×add-sqr-sqrt
24×prod-diff
22×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
8×distribute-lft-out
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ difference-of-squares
Counts
3 → 96
Calls
3 calls:
6.0ms
(+ y (/ 0.1111111111111111 x))
97.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
4.0ms
(* 3.0 (sqrt x))

series129.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ y (/ 0.1111111111111111 x))
65.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
40.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0511953
12288720
25003712

prune151.0ms

Filtered
105 candidates to 55 candidates (52.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

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
0157
1157

end0.0ms

sample806.0ms

Algorithm
intervals
Results
272.0ms8495×body80nan
264.0ms8583×body80valid