Details

Time bar (total: 8.6s)

sample37.0ms

Algorithm
intervals
Results
12.0ms279×body80valid
8.0ms271×body80nan

simplify28.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

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:
119.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify108.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07682009
130771504
250021453

prune415.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 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))

rewrite237.0ms

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:
156.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ 1.0 (* x 9.0))
13.0ms
(/ (/ y 3.0) (sqrt x))

series128.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
67.0ms
(/ (/ y 3.0) (sqrt x))

simplify194.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0232220584
1500216557

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
1599×add-sqr-sqrt
1593×times-frac
1007×*-un-lft-identity
836×add-cube-cbrt
703×prod-diff
317×sqrt-prod
254×difference-of-squares
131×associate--l+
86×distribute-lft-out--
74×div-inv
26×associate-/l*
13×add-exp-log add-cbrt-cube
9×associate-/r*
8×add-log-exp
7×fma-neg
6×cbrt-undiv div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 923
Calls
3 calls:
299.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(/ (/ y 3.0) (sqrt x))

series127.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
25.0ms
(/ (/ 1.0 x) 9.0)
57.0ms
(/ (/ y 3.0) (sqrt x))

simplify303.0ms

Algorithm
egg-herbie
Counts
932 → 932
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0329632174
1500230187

prune2.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* y (/ (/ 1 3.0) (sqrt x)))
0.4b
(/ (/ 1 3.0) (sqrt x))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
295×times-frac
194×add-sqr-sqrt
174×*-un-lft-identity
168×add-cube-cbrt
84×sqrt-prod
82×associate-*r*
33×add-exp-log
26×prod-diff
23×associate--l+ add-cbrt-cube
19×div-inv
16×associate-/l*
14×div-exp
9×add-log-exp
8×cbrt-undiv
7×associate-/r* unswap-sqr
6×pow1 prod-exp
5×fma-neg
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×diff-log associate-*r/ associate-*l*
2×sub-neg rec-exp flip3-- frac-2neg 1-exp clear-num frac-sub flip-- distribute-lft-out-- difference-of-squares
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 302
Calls
4 calls:
107.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
11.0ms
(/ 1.0 (* x 9.0))
41.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
18.0ms
(/ (/ 1 3.0) (sqrt x))

series170.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
16.0ms
(/ 1.0 (* x 9.0))
68.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
41.0ms
(/ (/ 1 3.0) (sqrt x))

simplify70.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
011952670
150012315

prune773.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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
0127

end0.0ms

sample869.0ms

Algorithm
intervals
Results
268.0ms8537×body80valid
241.0ms8397×body80nan