Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms282×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: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
54.0ms
(* y (+ 1.0 (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (* y (+ 1.0 (* z z))))
3.0b
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
12×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
7×associate-*r/
6×rec-exp 1-exp
4×associate-/r/
3×flip3-+ pow-prod-down flip-+ div-inv associate-/l* add-log-exp unswap-sqr
2×pow-flip *-commutative
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 109
Calls
3 calls:
8.0ms
(/ 1 (* y (+ 1.0 (* z z))))
12.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
5.0ms
(* y (+ 1.0 (* z z)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (* y (+ 1.0 (* z z))))
56.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
49.0ms
(* y (+ 1.0 (* z z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0544776
13059637
25001627

prune204.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
2.4b
(* x (* y (+ 1.0 (* z z))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*l*
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
7.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
6.0ms
(* x (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
59.0ms
(* x (* y (+ 1.0 (* z z))))
53.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0341484
11788398
25002398

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1.0 (* x (+ (* y 1.0) (* y (* z z)))))
2.4b
(* x (+ (* y 1.0) (* y (* z z))))
8.3b
(* y (* z z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×pow1
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×associate-*r* prod-exp cbrt-unprod
4×associate-*r/ pow-prod-down
3×times-frac associate-/l* add-log-exp
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv distribute-lft-out
Counts
3 → 65
Calls
3 calls:
6.0ms
(/ 1.0 (* x (+ (* y 1.0) (* y (* z z)))))
6.0ms
(* x (+ (* y 1.0) (* y (* z z))))
6.0ms
(* y (* z z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ 1.0 (* x (+ (* y 1.0) (* y (* z z)))))
82.0ms
(* x (+ (* y 1.0) (* y (* z z))))
28.0ms
(* y (* z z))

simplify49.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0328456
11575369
25001367

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

regimes263.0ms

Accuracy

0% (1.6b remaining)

Error of 3.7b against oracle of 2.1b and baseline of 3.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample430.0ms

Algorithm
intervals
Results
253.0ms8638×body80valid