Details

Time bar (total: 3.7s)

sample33.0ms

Algorithm
intervals
Results
10.0ms316×body80nan
9.0ms277×body80valid

simplify19.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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)))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.7b
(/ 1.0 (* x 9.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×add-exp-log add-cbrt-cube
15×times-frac
6×pow1 associate-*r* associate-/l* add-log-exp
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
6.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series144.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
59.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0571871
12234635
25001629

prune266.0ms

Filtered
122 candidates to 79 candidates (64.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ y (pow x 1/2))
0.4b
(* (/ 1 3.0) (/ y (pow x 1/2)))
0.7b
(/ 1.0 (* x 9.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
80×times-frac
63×*-un-lft-identity
58×add-exp-log
57×add-cube-cbrt
25×div-exp associate-*r*
24×unpow-prod-down
23×add-cbrt-cube
21×prod-diff
17×prod-exp
13×associate-*l*
12×unswap-sqr
10×sqr-pow
8×associate-/r*
7×cbrt-undiv div-inv
6×pow1 associate-/l* add-log-exp
5×pow-to-exp pow-exp cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×fma-neg
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 194
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
3.0ms
(/ y (pow x 1/2))
20.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))
3.0ms
(/ 1.0 (* x 9.0))

series158.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
50.0ms
(/ y (pow x 1/2))
57.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))
19.0ms
(/ 1.0 (* x 9.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08751466
139841179
250011149

prune464.0ms

Filtered
206 candidates to 129 candidates (62.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ 1 (pow x 1/2))
0.3b
(* (/ y 3.0) (/ 1 (pow x 1/2)))
0.7b
(/ 1.0 (* x 9.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
82×times-frac
68×add-exp-log
65×*-un-lft-identity
57×add-cube-cbrt
30×div-exp
25×unpow-prod-down associate-*r*
23×add-cbrt-cube
21×prod-diff prod-exp
14×unswap-sqr
13×associate-*l*
11×sqr-pow
9×pow-to-exp rec-exp 1-exp pow-exp
8×associate-/r*
7×cbrt-undiv div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×fma-neg
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 209
Calls
4 calls:
6.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms
(/ 1 (pow x 1/2))
24.0ms
(* (/ y 3.0) (/ 1 (pow x 1/2)))
3.0ms
(/ 1.0 (* x 9.0))

series132.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
23.0ms
(/ 1 (pow x 1/2))
62.0ms
(* (/ y 3.0) (/ 1 (pow x 1/2)))
16.0ms
(/ 1.0 (* x 9.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09461495
139581210
250011202

prune438.0ms

Filtered
221 candidates to 123 candidates (55.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×*-un-lft-identity
81×prod-diff
62×add-cube-cbrt
56×times-frac
41×associate--l+
17×difference-of-squares
11×distribute-lft-out--
10×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×fma-neg associate-*r*
5×pow1
4×sqrt-prod
3×expm1-log1p-u diff-log associate-*l* log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 157
Calls
3 calls:
72.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

series149.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))

simplify97.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08092384
131601682
250021591

prune367.0ms

Filtered
166 candidates to 111 candidates (66.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (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
0198
1198

end0.0ms

sample832.0ms

Algorithm
intervals
Results
287.0ms8538×body80valid
263.0ms8530×body80nan