Details

Time bar (total: 4.0s)

sample49.0ms

Algorithm
intervals
Results
20.0ms268×body80valid
15.0ms265×body80nan

simplify17.0ms

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

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×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:
3.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

series137.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))
40.0ms
(* 3.0 (sqrt x))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0374326
11524275
25001267

prune162.0ms

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

rewrite17.0ms

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:
3.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

series114.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ (/ 1.0 x) 9.0)
40.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0596691
12368635
25001635

prune312.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.4b
(/ (/ y 3.0) (sqrt x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
81×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
16×associate-/l*
12×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×prod-exp cbrt-unprod associate-/l/
Counts
2 → 133
Calls
2 calls:
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series74.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ 1.0 (* x 9.0))
58.0ms
(/ (/ y 3.0) (sqrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06121095
124201017
250011017

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
252×add-sqr-sqrt
174×*-un-lft-identity
168×add-cube-cbrt
110×sqrt-prod
88×associate-*r*
55×add-exp-log
37×add-cbrt-cube
25×div-exp associate-*l*
23×unswap-sqr
17×div-inv
16×associate-/l*
14×cbrt-undiv
12×prod-exp
8×pow1 cbrt-unprod
7×associate-/r*
4×add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 310
Calls
4 calls:
3.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ (/ 1 x) (sqrt 9.0))
4.0ms
(* 3.0 (sqrt x))
53.0ms
(* (/ 1.0 (sqrt 9.0)) (/ (/ 1 x) (sqrt 9.0)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ y (* 3.0 (sqrt x)))
49.0ms
(/ (/ 1 x) (sqrt 9.0))
44.0ms
(* 3.0 (sqrt x))
96.0ms
(* (/ 1.0 (sqrt 9.0)) (/ (/ 1 x) (sqrt 9.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012512737
150022442

prune668.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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

sample1.5s

Algorithm
intervals
Results
645.0ms8557×body80valid
502.0ms8460×body80nan