Details

Time bar (total: 6.7s)

sample32.0ms

Algorithm
intervals
Results
9.0ms310×body80nan
9.0ms279×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

rewrite71.0ms

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:
54.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

series157.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms
(/ 1.0 (* x 9.0))
58.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))

simplify87.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07682009
130771504
250021453

prune368.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
192.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ (/ 1.0 x) 9.0)
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

series160.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
15.0ms
(/ (/ 1.0 x) 9.0)
58.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014975667
150024917

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
722×add-sqr-sqrt
711×*-un-lft-identity
538×add-cube-cbrt
452×prod-diff
239×sqrt-prod
89×difference-of-squares
87×distribute-lft-out--
50×div-inv
23×associate--l+
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×fma-neg
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 640
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
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))

series157.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
20.0ms
(/ 1.0 (* x 9.0))
57.0ms
(/ (/ y 3.0) (sqrt x))

simplify181.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0239021085
1500116927

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
0.3b
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
60.1b
(fma (- (/ (sqrt 1.0) 9.0)) (/ (sqrt 1.0) x) (* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
193×add-sqr-sqrt
133×add-cube-cbrt *-un-lft-identity
90×sqrt-prod
44×associate-*r* associate-*l*
33×add-exp-log add-cbrt-cube
18×unswap-sqr
13×associate-/l*
12×div-inv
11×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg clear-num fma-udef associate-/l/
Counts
4 → 274
Calls
4 calls:
7.0ms
(/ (/ y 3.0) (sqrt x))
25.0ms
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
23.0ms
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
0.0ms
(fma (- (/ (sqrt 1.0) 9.0)) (/ (sqrt 1.0) x) (* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (/ y 3.0) (sqrt x))
102.0ms
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
93.0ms
(* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x))
190.0ms
(fma (- (/ (sqrt 1.0) 9.0)) (/ (sqrt 1.0) x) (* (/ (sqrt 1.0) 9.0) (/ (sqrt 1.0) x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09102341
139072090
250011990

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
13027
23027

end0.0ms

sample817.0ms

Algorithm
intervals
Results
278.0ms8534×body80valid
258.0ms8701×body80nan