Details

Time bar (total: 3.7s)

sample31.0ms

Algorithm
intervals
Results
9.0ms315×body80nan
8.0ms274×body80valid

simplify104.0ms

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

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

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)))
71.0ms
(* (* 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)))
63.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
40.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0456548
12172486
25002484

prune209.0ms

Filtered
96 candidates to 62 candidates (64.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
33×associate-*r*
32×add-exp-log
28×times-frac
25×*-un-lft-identity add-cbrt-cube
23×add-cube-cbrt
13×pow1
12×prod-exp cbrt-unprod
11×cbrt-prod associate-*l*
8×unswap-sqr
7×cbrt-undiv div-exp
6×add-log-exp
5×pow-prod-down
4×sqrt-prod
3×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
2×sub-neg associate--l+ div-inv
1×+-commutative frac-times flip3-- flip3-+ associate-*l/ sum-log flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
2.0ms
(+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0)))
32.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
5.0ms
(* 3.0 (sqrt x))
23.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series335.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0)))
112.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
37.0ms
(* 3.0 (sqrt x))
101.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
07511296
139991140
250031088

prune313.0ms

Filtered
132 candidates to 88 candidates (66.7%)
Pruning

9 alts after pruning (8 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
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.6b
(/ 1.0 (* x 9.0))

rewrite171.0ms

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)))
85.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms
(/ 1.0 (* x 9.0))

series169.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
61.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
66.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0427770
11858694
25002694

prune211.0ms

Filtered
110 candidates to 67 candidates (60.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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)))
0.4b
(* (cbrt 3.0) (sqrt x))
0.6b
(/ 1.0 (* x 9.0))

rewrite193.0ms

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:
161.0ms
(* (* (* (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))
3.0ms
(/ 1.0 (* x 9.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* (* (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)))
65.0ms
(* (cbrt 3.0) (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05731128
13010841
25001776

prune218.0ms

Filtered
120 candidates to 69 candidates (57.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

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
01912
11912

end0.0ms

sample793.0ms

Algorithm
intervals
Results
268.0ms8530×body80nan
257.0ms8538×body80valid