Details

Time bar (total: 4.1s)

sample32.0ms

Algorithm
intervals
Results
9.0ms276×body80valid
9.0ms272×body80nan

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

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))

rewrite86.0ms

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)))
3.0ms
(/ 1.0 (* x 9.0))
71.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms
(* 3.0 (sqrt x))

series146.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
16.0ms
(/ 1.0 (* x 9.0))
61.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
40.0ms
(* 3.0 (sqrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0456548
12172486
25002484

prune198.0ms

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
82.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
73.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms
(/ 1.0 (* x 9.0))
65.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0427770
11858694
25002694

prune210.0ms

Pruning

11 alts after pruning (10 fresh and 1 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
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
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×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 147
Calls
4 calls:
17.0ms
(+ y (/ (/ 1.0 x) 9.0))
298.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms
(/ (/ 1.0 x) 9.0)
242.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ y (/ (/ 1.0 x) 9.0))
59.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms
(/ (/ 1.0 x) 9.0)
65.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06491136
127071056
250011056

prune353.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
36×pow1
28×add-cbrt-cube
23×prod-exp cbrt-unprod
22×pow-prod-down
21×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×add-cube-cbrt
8×associate-*l*
5×cbrt-prod sqrt-prod
4×add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in times-frac *-commutative associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ distribute-lft-out--
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv distribute-lft-out difference-of-squares
Counts
4 → 108
Calls
4 calls:
3.0ms
(/ 1.0 (* x 9.0))
130.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
6.0ms
(* (cbrt 3.0) (sqrt x))

series255.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1.0 (* x 9.0))
95.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
78.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
66.0ms
(* (cbrt 3.0) (sqrt x))

simplify84.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05731128
13010841
25001776

prune229.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes71.0ms

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
0167
1167

end0.0ms

sample885.0ms

Algorithm
intervals
Results
294.0ms8568×body80valid
287.0ms8626×body80nan