Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms282×body80valid

simplify14.0ms

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

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)))

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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms
(* 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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune183.0ms

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)))

rewrite43.0ms

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:
8.0ms
(/ (/ 1.0 y) x)
18.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ 1.0 y) x)
53.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify124.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011322994
145722919
250022919

prune706.0ms

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))

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-*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 (* z z)) x)
8.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (+ 1.0 (* z z)) x)
65.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0408524
11864453
25002453

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.3b

localize9.0ms

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
9×cbrt-undiv cbrt-unprod
7×pow1
4×associate-*l/
3×1-exp associate-*l* pow-prod-down div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
2 → 75
Calls
2 calls:
12.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
11.0ms
(* (+ 1.0 (* z z)) (* x y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
35.0ms
(* (+ 1.0 (* z z)) (* x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0501637
12477515
25001491

prune118.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.3b

regimes283.0ms

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

sample404.0ms

Algorithm
intervals
Results
237.0ms8635×body80valid