Details

Time bar (total: 13.0s)

sample49.0ms

Algorithm
intervals
Results
18.0ms277×body80valid
17.0ms305×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(* 3.0 (sqrt x))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
56.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))

series157.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
40.0ms
(* 3.0 (sqrt x))
58.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07682009
130771504
250021453

prune371.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
93.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series121.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify221.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0232220584
1500216557

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.3b
(/ y (cbrt 3.0))
0.6b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
3572×times-frac
1418×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
205×div-inv
166×associate-/r*
94×add-exp-log
60×div-exp
41×add-cbrt-cube
30×cbrt-undiv
19×associate-/l*
10×prod-exp associate-/r/
6×rec-exp 1-exp
4×pow1 expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 1388
Calls
4 calls:
3.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
3.0ms
(/ y (cbrt 3.0))
52.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1.0 (* x 9.0))
135.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
59.0ms
(/ y (cbrt 3.0))
122.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify274.0ms

Algorithm
egg-herbie
Counts
1400 → 1400
Iterations

Useful iterations: 1 (73.0ms)

IterNodesCost
0474725413
1500124641

prune3.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt x) y)
0.3b
(/ 1.0 (* x 9.0))
0.4b
(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
0.6b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
3764×times-frac
1443×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
525×sqrt-prod
480×cbrt-prod
245×div-inv
175×associate-/l*
117×add-exp-log
76×div-exp
46×add-cbrt-cube
36×cbrt-undiv
32×associate-/r*
13×prod-exp
8×rec-exp 1-exp associate-/r/
5×cbrt-unprod
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
Counts
4 → 1435
Calls
4 calls:
3.0ms
(/ (sqrt x) y)
3.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
16.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

series435.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (sqrt x) y)
15.0ms
(/ 1.0 (* x 9.0))
114.0ms
(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
240.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

simplify291.0ms

Algorithm
egg-herbie
Counts
1447 → 1447
Iterations

Useful iterations: 1 (75.0ms)

IterNodesCost
0418926463
1500125797

prune3.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample1.4s

Algorithm
intervals
Results
565.0ms8537×body80valid
497.0ms8649×body80nan