Details

Time bar (total: 3.3s)

sample24.0ms

Algorithm
intervals
Results
16.0ms280×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.2b
(* y (+ 1.0 (* z z)))

rewrite19.0ms

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:
10.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms
(* y (+ 1.0 (* z z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
51.0ms
(* y (+ 1.0 (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune152.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

2.9b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
4.4b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite49.0ms

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))))
7.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
55.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08881623
143251446
250021361

prune325.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 y) x)
5.9b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
5.0ms
(/ (/ 1.0 y) x)
17.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 y) x)
57.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify111.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011322994
145722919
250022919

prune675.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
4.3b
(* (+ 1.0 (* z z)) x)

rewrite17.0ms

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-*l/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
7.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
7.0ms
(* (+ 1.0 (* z z)) x)

series104.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
39.0ms
(* (+ 1.0 (* z z)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0408524
11864453
25002453

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.1b

regimes177.0ms

Accuracy

0% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample870.0ms

Algorithm
intervals
Results
694.0ms8629×body80valid