Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify16.0ms

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: 6.8b

localize7.0ms

Local error

Found 2 expressions with local error:

3.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite37.0ms

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:
19.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
15.0ms
(* y (+ 1.0 (* z z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
54.0ms
(* y (+ 1.0 (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0409511
11963443
25001443

prune175.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.5b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite58.0ms

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:
11.0ms
(/ (/ 1.0 y) x)
31.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 y) x)
64.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011322994
145722919
250022919

prune765.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
5.2b
(* (+ 1.0 (* z z)) (* x y))

rewrite56.0ms

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:
24.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
26.0ms
(* (+ 1.0 (* z z)) (* x y))

series100.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
36.0ms
(* (+ 1.0 (* z z)) (* x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0501637
12477515
25001491

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ (sqrt 1.0) x) y)
0.3b
(/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z)))
5.3b
(* (/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) x) y))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
582×times-frac
383×add-sqr-sqrt
285×*-un-lft-identity
277×add-cube-cbrt
140×sqrt-prod
72×associate-*l*
70×associate-*r*
63×add-exp-log
49×add-cbrt-cube
44×associate-/l*
35×div-exp
24×cbrt-undiv unswap-sqr
18×div-inv
12×prod-exp
9×cbrt-unprod
6×associate-/r*
5×pow1
4×1-exp associate-/r/
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 414
Calls
3 calls:
14.0ms
(/ (/ (sqrt 1.0) x) y)
18.0ms
(/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z)))
129.0ms
(* (/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) x) y))

series351.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (/ (sqrt 1.0) x) y)
77.0ms
(/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z)))
229.0ms
(* (/ (/ (sqrt 1.0) 1) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) x) y))

simplify86.0ms

Algorithm
egg-herbie
Counts
423 → 423
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017264724
150014285

prune982.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.7b

regimes200.0ms

Accuracy

0% (1.8b remaining)

Error of 6.6b against oracle of 4.8b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1186
2186

end0.0ms

sample482.0ms

Algorithm
intervals
Results
235.0ms8630×body80valid