Details

Time bar (total: 4.3s)

sample31.0ms

Algorithm
intervals
Results
8.0ms278×body80valid
7.0ms276×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

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

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:
116.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(* 3.0 (sqrt x))
13.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
33.0ms
(* 3.0 (sqrt x))
56.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07682009
130771504
250021453

prune558.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.2b
(* 3.0 (sqrt x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×pow1 sqrt-prod
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
2 → 47
Calls
2 calls:
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0289258
11106221
25001213

prune130.0ms

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

rewrite306.0ms

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:
254.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))
11.0ms
(/ (/ 1.0 x) 9.0)

series145.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
48.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
15.0ms
(/ (/ 1.0 x) 9.0)

simplify72.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014975667
150014916

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* y (/ 1 (* 3.0 (sqrt x))))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ 1 (* 3.0 (sqrt x)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
19×add-cbrt-cube
17×add-sqr-sqrt
14×prod-exp
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×pow1
8×div-exp
6×times-frac associate-*l* cbrt-unprod
4×cbrt-undiv rec-exp 1-exp sqrt-prod
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×pow-flip *-commutative div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 88
Calls
3 calls:
36.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
9.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1 (* 3.0 (sqrt x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
33.0ms
(* 3.0 (sqrt x))
38.0ms
(/ 1 (* 3.0 (sqrt x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0426480
11898398
25002382

prune185.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes105.0ms

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

sample823.0ms

Algorithm
intervals
Results
255.0ms8545×body80valid
228.0ms8654×body80nan