Details

Time bar (total: 5.7s)

sample47.0ms

Algorithm
intervals
Results
17.0ms274×body80valid
15.0ms235×body80nan

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out 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 → 84
Calls
4 calls:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
70.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series20.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (/ 1.0 (* x 9.0)))
9.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0456548
12172486
25002484

prune627.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* 0.1111111111111111 (/ 1 x)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* 0.1111111111111111 (/ 1 x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×associate-*r*
20×add-exp-log
19×*-un-lft-identity
16×add-cube-cbrt add-cbrt-cube
13×pow1
11×times-frac
8×prod-exp
7×associate-*l*
6×cbrt-unprod add-log-exp
5×pow-prod-down unswap-sqr
4×sqrt-prod
3×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
2×sub-neg div-exp associate--l+
1×cbrt-undiv +-commutative rec-exp flip3-- flip3-+ 1-exp sum-log un-div-inv flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 97
Calls
4 calls:
2.0ms
(+ y (* 0.1111111111111111 (/ 1 x)))
30.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
4.0ms
(* 3.0 (sqrt x))
8.0ms
(* 0.1111111111111111 (/ 1 x))

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ y (* 0.1111111111111111 (/ 1 x)))
9.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
3.0ms
(* 3.0 (sqrt x))
2.0ms
(* 0.1111111111111111 (/ 1 x))

simplify66.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0522597
12453505
25001489

prune670.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
0.3b
(/ (cbrt 1) (sqrt x))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
122×times-frac
82×*-un-lft-identity
74×add-cube-cbrt
68×sqrt-prod
51×cbrt-prod associate-*r*
26×associate-*l*
25×add-exp-log
23×unswap-sqr
22×add-cbrt-cube
13×pow1
8×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
5×cbrt-undiv div-exp pow-prod-down
4×add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative div-inv
2×sub-neg associate--l+
1×frac-times flip3-- frac-2neg associate-*l/ clear-num flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 213
Calls
4 calls:
28.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
4.0ms
(/ (cbrt 1) (sqrt x))
4.0ms
(* 3.0 (sqrt x))
34.0ms
(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
3.0ms
(/ (cbrt 1) (sqrt x))
3.0ms
(* 3.0 (sqrt x))
3.0ms
(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

simplify96.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08122064
138911903
250011820

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
0.3b
(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity associate-*r*
9×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt associate-*r/
6×add-cube-cbrt
4×associate-*l* pow-prod-down associate-*l/ frac-add prod-exp cbrt-unprod
3×sqrt-prod
2×flip3-- flip3-+ *-commutative flip-- flip-+ distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
51.0ms
(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
60.0ms
(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
9.0ms
(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362410
11728356
25002354

prune358.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.4b 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
0186
1186

end0.0ms

sample1.4s

Algorithm
intervals
Results
545.0ms8618×body80nan
545.0ms8554×body80valid