Details

Time bar (total: 5.3s)

sample32.0ms

Algorithm
intervals
Results
10.0ms324×body80nan
8.0ms286×body80valid

simplify114.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

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

rewrite98.0ms

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:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
81.0ms
(* (* 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))

series189.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ y (/ 1.0 (* x 9.0)))
89.0ms
(* (* 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))

simplify103.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
05941130
12888878
25001872

prune240.0ms

Filtered
131 candidates to 75 candidates (57.3%)
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))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b
(/ 1.0 (* x 9.0))

rewrite201.0ms

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:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
90.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
95.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms
(/ 1.0 (* x 9.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
58.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06332404
126631754
250021748

prune261.0ms

Filtered
193 candidates to 84 candidates (43.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite639.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt
93×add-cube-cbrt
75×distribute-rgt-in distribute-lft-in times-frac
72×prod-diff
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
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×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv fma-def div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 230
Calls
4 calls:
16.0ms
(+ y (/ (/ 1.0 x) 9.0))
312.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms
(/ (/ 1.0 x) 9.0)
293.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (/ (/ 1.0 x) 9.0))
65.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
19.0ms
(/ (/ 1.0 x) 9.0)
62.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08562770
135652116
250022110

prune437.0ms

Filtered
242 candidates to 127 candidates (52.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
315×times-frac
243×add-sqr-sqrt
180×add-cube-cbrt *-un-lft-identity
125×associate-*r*
96×sqrt-prod
81×cbrt-prod
52×add-exp-log
48×distribute-rgt-in distribute-lft-in
40×add-cbrt-cube
36×prod-diff
18×cbrt-undiv div-exp unswap-sqr
16×prod-exp cbrt-unprod
13×associate-*l*
12×associate-/r*
11×pow1
7×div-inv associate-/l*
5×associate-*r/
4×expm1-log1p-u sub-neg pow-prod-down associate--l+ log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times flip3-- associate-*l/ flip--
Counts
4 → 345
Calls
4 calls:
53.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) 9.0))) 1.0)))
4.0ms
(/ (cbrt 1.0) (sqrt x))
5.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))
69.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) 9.0))

series413.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) 9.0))) 1.0)))
74.0ms
(/ (cbrt 1.0) (sqrt x))
103.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))
102.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) 9.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
357 → 357
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018885369
150014633

prune901.0ms

Filtered
357 candidates to 211 candidates (59.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes74.0ms

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
02514
12514

end0.0ms

sample807.0ms

Algorithm
intervals
Results
263.0ms8569×body80nan
261.0ms8543×body80valid