Details

Time bar (total: 3.8s)

sample32.0ms

Algorithm
intervals
Results
9.0ms276×body80valid
9.0ms279×body80nan

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.4b

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
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite83.0ms

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:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
69.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

series153.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
66.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0456548
12172486
25002484

prune206.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

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:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
3.0ms
(/ 1.0 (* x 9.0))
79.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
71.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (/ 1.0 (* x 9.0)))
20.0ms
(/ 1.0 (* x 9.0))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
70.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0427770
11858694
25002694

prune222.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
7×add-cube-cbrt associate-*r*
6×sub-neg associate-*r/ associate--l+
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ difference-of-squares
Counts
3 → 77
Calls
3 calls:
6.0ms
(+ y (/ 0.1111111111111111 x))
100.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
86.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ y (/ 0.1111111111111111 x))
62.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
66.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0343602
11395541
25002541

prune162.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
11×add-cube-cbrt
8×associate-*r*
4×sqrt-prod add-log-exp
3×cbrt-prod flip3-- times-frac *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
195.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
3.0ms
(/ 1.0 (* x 9.0))
78.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
71.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
16.0ms
(/ 1.0 (* x 9.0))
60.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
135.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06811766
127371381
250031319

prune249.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes90.0ms

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
0146
1146

end0.0ms

sample832.0ms

Algorithm
intervals
Results
275.0ms8560×body80valid
264.0ms8514×body80nan