Details

Time bar (total: 3.4s)

sample34.0ms

Algorithm
intervals
Results
11.0ms297×body80nan
9.0ms274×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

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))

rewrite16.0ms

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×associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 64
Calls
3 calls:
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series113.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0374326
11524275
25001267

prune177.0ms

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)

rewrite20.0ms

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×associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)

series116.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0596691
12368635
25001635

prune320.0ms

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))

rewrite30.0ms

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×sqrt-prod 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 → 169
Calls
4 calls:
5.0ms
(/ (* 3.0 (sqrt x)) y)
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (* 3.0 (sqrt x)) y)
40.0ms
(* 3.0 (sqrt x))
16.0ms
(/ (/ 1.0 x) 9.0)
250.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify92.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08241113
13716999
25002962

prune382.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite36.0ms

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×add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 197
Calls
3 calls:
4.0ms
(/ y (pow x 1/2))
6.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (pow x 1/2))
15.0ms
(/ (/ 1.0 x) 9.0)
60.0ms
(* (/ 1 3.0) (/ y (pow x 1/2)))

simplify107.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09021284
143631180
250011156

prune483.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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

sample771.0ms

Algorithm
intervals
Results
265.0ms8531×body80valid
240.0ms8433×body80nan