Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
17.0ms282×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

4.0b
(* y (+ 1.0 (* z z)))
4.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(* y (+ 1.0 (* z z)))
9.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* y (+ 1.0 (* z z)))
78.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0409511
11963443
25001443

prune197.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 2 expressions with local error:

3.6b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
5.4b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp 1-exp associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
34.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
8.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
67.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
08881623
143251446
250021361

prune405.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.5b
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
5.3b
(* (+ 1.0 (* z z)) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
12×associate-*l/ associate-/l*
10×associate-/r/
7×cbrt-undiv div-exp
6×flip3-+ flip-+ div-inv
5×pow1
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 99
Calls
3 calls:
4.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
9.0ms
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
7.0ms
(* (+ 1.0 (* z z)) x)

series178.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
77.0ms
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
42.0ms
(* (+ 1.0 (* z z)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0502841
12392754
25002753

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (+ 1.0 (* z z)))
3.6b
(* (/ 1.0 y) (* (/ 1 x) (/ 1 (+ 1.0 (* z z)))))
5.2b
(* (/ 1 x) (/ 1 (+ 1.0 (* z z))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
180×add-exp-log
82×prod-exp
67×div-exp
58×add-cbrt-cube
56×add-sqr-sqrt
48×times-frac
38×*-un-lft-identity
32×add-cube-cbrt
26×associate-*l*
25×rec-exp 1-exp
22×cbrt-unprod
18×cbrt-undiv
16×associate-*r*
13×pow1
9×unswap-sqr
7×frac-times associate-*r/
6×pow-prod-down
4×associate-*l/ associate-/r/ div-inv
3×pow-flip associate-/r* un-div-inv associate-/l* inv-pow add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 182
Calls
3 calls:
4.0ms
(/ 1 (+ 1.0 (* z z)))
28.0ms
(* (/ 1.0 y) (* (/ 1 x) (/ 1 (+ 1.0 (* z z)))))
20.0ms
(* (/ 1 x) (/ 1 (+ 1.0 (* z z))))

series196.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (+ 1.0 (* z z)))
77.0ms
(* (/ 1.0 y) (* (/ 1 x) (/ 1 (+ 1.0 (* z z)))))
73.0ms
(* (/ 1 x) (/ 1 (+ 1.0 (* z z))))

simplify105.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08881489
140771226
250011148

prune333.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.3b

regimes112.0ms

Accuracy

0% (1.3b remaining)

Error of 6.3b against oracle of 5.0b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample728.0ms

Algorithm
intervals
Results
530.0ms8629×body80valid