Details

Time bar (total: 16.7s)

sample53.0ms

Algorithm
intervals
Results
20.0ms272×body80valid
16.0ms284×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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite68.0ms

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:
51.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series160.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07682009
130771504
250021453

prune376.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

rewrite155.0ms

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:
7.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
89.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series160.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
50.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
55.0ms
(/ (/ y 3.0) (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify173.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0239021085
1500116927

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
1794×times-frac
1758×add-sqr-sqrt
1159×*-un-lft-identity
986×add-cube-cbrt
832×prod-diff
317×sqrt-prod
257×difference-of-squares
131×associate--l+
87×distribute-lft-out--
86×div-inv
26×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×fma-neg
9×associate-/r*
6×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 associate-/l/
1×associate--l-
Counts
4 → 1073
Calls
4 calls:
23.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
382.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series150.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
56.0ms
(/ (/ y 3.0) (sqrt x))

simplify308.0ms

Algorithm
egg-herbie
Counts
1085 → 1085
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0368236625
1500134297

prune3.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite762.0ms

Algorithm
rewrite-expression-head
Rules
3584×times-frac
3226×add-sqr-sqrt
1555×*-un-lft-identity
1384×add-cube-cbrt
1220×prod-diff
586×difference-of-squares
473×sqrt-prod
456×cbrt-prod
320×associate--l+
142×div-inv
86×distribute-lft-out--
43×associate-/l*
39×add-exp-log
26×add-cbrt-cube
20×cbrt-undiv div-exp
13×associate-/r*
11×fma-neg
9×add-log-exp
4×pow1 expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×frac-2neg diff-log clear-num associate-/l/
2×sub-neg flip3-- frac-sub flip--
1×associate--l-
Counts
4 → 1568
Calls
4 calls:
524.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
14.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
7.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))) (/ (/ y 3.0) (sqrt x)))
63.0ms
(/ (/ y 3.0) (sqrt x))
105.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
103.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))

simplify554.0ms

Algorithm
egg-herbie
Counts
1580 → 1580
Iterations

Useful iterations: 1 (68.0ms)

IterNodesCost
0496966934
1500166516

prune7.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes74.0ms

Accuracy

-2% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02018
12018

end0.0ms

sample1.3s

Algorithm
intervals
Results
548.0ms8531×body80valid
418.0ms8482×body80nan