Details

Time bar (total: 8.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms283×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: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0b
(* 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)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
56.0ms
(* y (+ 1.0 (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune170.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.6b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite35.0ms

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:
6.0ms
(/ (/ 1.0 y) x)
14.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
59.0ms
(/ (/ (/ 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

prune771.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
5.5b
(* (+ 1.0 (* z z)) (* x y))

rewrite19.0ms

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:
10.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
6.0ms
(* (+ 1.0 (* z z)) (* x y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (/ 1.0 1) (* (+ 1.0 (* z z)) (* x y)))
39.0ms
(* (+ 1.0 (* z z)) (* x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0501637
12477515
25001491

prune140.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cbrt 1.0) (/ (sqrt (+ 1.0 (* z z))) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z)))))
2.0b
(/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z))))
16.2b
(sqrt (+ 1.0 (* z z)))
16.2b
(sqrt (+ 1.0 (* z z)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
3216×times-frac
1886×add-sqr-sqrt
1326×add-cube-cbrt *-un-lft-identity
682×cbrt-prod
617×sqrt-prod
426×associate-*r*
245×associate-*l*
99×unswap-sqr
70×associate-/l*
67×add-exp-log
61×div-inv
51×add-cbrt-cube
36×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
8×pow1 sqrt-div
6×associate-/r*
5×associate-/r/
4×flip3-+ flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1351
Calls
4 calls:
1.1s
(* (/ (cbrt 1.0) (/ (sqrt (+ 1.0 (* z z))) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z)))))
24.0ms
(/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z))))
2.0ms
(sqrt (+ 1.0 (* z z)))
6.0ms
(sqrt (+ 1.0 (* z z)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (/ (cbrt 1.0) (/ (sqrt (+ 1.0 (* z z))) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z)))))
118.0ms
(/ (/ (/ (cbrt 1.0) y) x) (sqrt (+ 1.0 (* z z))))
42.0ms
(sqrt (+ 1.0 (* z z)))
52.0ms
(sqrt (+ 1.0 (* z z)))

simplify286.0ms

Algorithm
egg-herbie
Counts
1363 → 1363
Iterations

Useful iterations: 1 (68.0ms)

IterNodesCost
0479426332
1500125985

prune4.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.7b

regimes243.0ms

Accuracy

0% (1.3b remaining)

Error of 6.2b against oracle of 4.9b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322
12322

end0.0ms

sample428.0ms

Algorithm
intervals
Results
246.0ms8639×body80valid