Details

Time bar (total: 3.0s)

sample29.0ms

Algorithm
intervals
Results
20.0ms282×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: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.9b
(* 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*
cbrt-undiv div-exp
pow1 associate-*r/
associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
flip3-+ associate-/r/ flip-+ add-log-exp
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
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms
(* y (+ 1.0 (* z z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
49.0ms
(* y (+ 1.0 (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune159.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 y) x)
6.6b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite41.0ms

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
cbrt-undiv div-exp
associate-/r*
pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
5.0ms
(/ (/ 1.0 y) x)
19.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
57.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011322994
145722919
250022919

prune731.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 2 expressions with local error:

3.5b
(* (+ 1.0 (* z z)) x)
4.4b
(/ (/ 1.0 y) (* (+ 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*
cbrt-undiv div-exp
pow1 associate-*l/
associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
flip3-+ associate-/r/ flip-+ add-log-exp
frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
7.0ms
(* (+ 1.0 (* z z)) x)
7.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

series95.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (+ 1.0 (* z z)) x)
63.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0408524
11864453
25002453

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
6.4b
(* (+ 1.0 (* z z)) (* x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
31×times-frac
28×add-cbrt-cube
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×div-exp
13×associate-/l*
12×prod-exp
cbrt-undiv cbrt-unprod
pow1
associate-*l/
1-exp associate-*l* pow-prod-down div-inv
flip3-+ associate-/r/ flip-+ add-log-exp
frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
2 → 75
Calls
2 calls:
11.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
10.0ms
(* (+ 1.0 (* z z)) (* x y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
36.0ms
(* (+ 1.0 (* z z)) (* x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0501637
12477515
25001491

prune125.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.3b

regimes235.0ms

Accuracy

0% (1.4b remaining)

Error of 6.6b against oracle of 5.2b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample807.0ms

Algorithm
intervals
Results
620.0ms8635×body80valid