Details

Time bar (total: 3.3s)

sample33.0ms

Algorithm
intervals
Results
11.0ms297×body80nan
8.0ms274×body80valid

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 70
Calls
3 calls:
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series110.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0390346
11563295
25001287

prune184.0ms

Filtered
79 candidates to 58 candidates (73.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 119
Calls
3 calls:
3.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)

series117.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0612711
12407655
25001651

prune325.0ms

Filtered
128 candidates to 100 candidates (78.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 3.0 (sqrt x)) y)
0.3b
(* 3.0 (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)
0.6b
(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
71×add-sqr-sqrt
67×add-cube-cbrt *-un-lft-identity
37×add-exp-log
25×add-cbrt-cube
17×div-exp associate-/l*
13×associate-/r*
11×div-inv
10×cbrt-undiv
7×pow1
6×associate-*r*
5×prod-exp
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num cbrt-unprod
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative associate-/l/ inv-pow
Counts
4 → 177
Calls
4 calls:
4.0ms
(/ (* 3.0 (sqrt x)) y)
4.0ms
(* 3.0 (sqrt x))
5.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series177.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (* 3.0 (sqrt x)) y)
36.0ms
(* 3.0 (sqrt x))
15.0ms
(/ (/ 1.0 x) 9.0)
58.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08461143
137711029
25003985

prune427.0ms

Filtered
189 candidates to 130 candidates (68.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ y (pow x 1/2))
0.3b
(/ (/ 1.0 x) 9.0)
0.4b
(* (/ 1 3.0) (/ y (pow x 1/2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
116×add-sqr-sqrt
86×*-un-lft-identity
82×add-cube-cbrt
57×add-exp-log
26×div-exp
25×associate-*r*
24×unpow-prod-down
22×add-cbrt-cube
16×prod-exp associate-/l*
13×associate-*l*
12×unswap-sqr
10×associate-/r* sqr-pow
8×cbrt-undiv div-inv
5×pow1 pow-to-exp pow-exp
4×rec-exp 1-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 203
Calls
3 calls:
4.0ms
(/ y (pow x 1/2))
6.0ms
(/ (/ 1.0 x) 9.0)
20.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (pow x 1/2))
16.0ms
(/ (/ 1.0 x) 9.0)
58.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))

simplify109.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09121306
143841202
250011172

prune504.0ms

Filtered
212 candidates to 151 candidates (71.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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
0178
1178

end0.0ms

sample796.0ms

Algorithm
intervals
Results
271.0ms8531×body80valid
242.0ms8433×body80nan