Details

Time bar (total: 5.0s)

sample31.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
8.0ms274×body80nan

simplify118.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

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))

rewrite193.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
162.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(* 3.0 (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series132.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ y (/ 1.0 (* x 9.0)))
55.0ms
(* (* 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))

simplify79.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05941130
12888878
25001872

prune235.0ms

Pruning

11 alts after pruning (11 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))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite390.0ms

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:
10.0ms
(+ y (/ 1.0 (* x 9.0)))
178.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
186.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms
(/ 1.0 (* x 9.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ y (/ 1.0 (* x 9.0)))
57.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
62.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06332404
126631754
250021748

prune270.0ms

Pruning

11 alts after pruning (11 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))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite812.0ms

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:
21.0ms
(+ y (/ (/ 1.0 x) 9.0))
376.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
392.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
10.0ms
(/ (/ 1.0 x) 9.0)

series150.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ y (/ (/ 1.0 x) 9.0))
56.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
55.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
15.0ms
(/ (/ 1.0 x) 9.0)

simplify105.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08562770
135652116
250012110

prune411.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.6b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
48×distribute-rgt-in distribute-lft-in
45×add-cube-cbrt *-un-lft-identity
36×prod-diff
34×sqrt-prod
24×pow1
21×add-exp-log add-cbrt-cube
18×times-frac
13×associate-*l*
12×swap-sqr
11×associate-*r*
8×sqrt-pow1 pow1/2
6×pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
5×associate-*r/ pow-prod-up
4×cbrt-undiv expm1-log1p-u sub-neg sqrt-div div-exp associate--l+ log1p-expm1-u add-log-exp unswap-sqr
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times flip3-- pow-plus sqrt-unprod associate-*l/ rem-square-sqrt flip--
Counts
4 → 182
Calls
4 calls:
76.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
7.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ 1.0 (* x 9.0))
42.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
25.0ms
(/ 1.0 (* x 9.0))
15.0ms
(/ 1.0 (* x 9.0))
53.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify100.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07262295
131091590
250011540

prune359.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample864.0ms

Algorithm
intervals
Results
259.0ms8517×body80valid
248.0ms8631×body80nan