Details

Time bar (total: 4.0s)

sample37.0ms

Algorithm
intervals
Results
11.0ms293×body80nan
8.0ms285×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize9.0ms

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))
0.2b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite199.0ms

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)))
168.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(* 3.0 (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series139.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
58.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
37.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05941130
12888878
25001872

prune236.0ms

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 (/ 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)))
0.4b
(/ 1.0 (* x 9.0))

rewrite414.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
190.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
191.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
10.0ms
(/ 1.0 (* x 9.0))

series166.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
60.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
63.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
18.0ms
(/ 1.0 (* x 9.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06332404
126631754
250021748

prune258.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r* prod-exp cbrt-unprod
7×pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ unswap-sqr
1×flip3-- frac-2neg clear-num associate-/r* flip-- div-inv
Counts
4 → 89
Calls
4 calls:
10.0ms
(* y (sqrt x))
91.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
20.0ms
(* 3.0 (* y (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* y (sqrt x))
66.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
55.0ms
(* 3.0 (* y (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0460533
11962454
25002443

prune231.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
16×pow1
14×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
9×associate-*l*
8×prod-exp cbrt-unprod
7×pow-prod-down sqrt-prod
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv flip3-- associate-*r/ div-exp flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
78.0ms
(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
90.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
19.0ms
(* (* 3.0 y) (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series206.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
69.0ms
(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
58.0ms
(* (* 3.0 y) (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0480657
12122567
25002554

prune235.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12213

end0.0ms

sample905.0ms

Algorithm
intervals
Results
270.0ms8643×body80nan
258.0ms8541×body80valid