Details

Time bar (total: 6.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms271×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: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.4b
(* y (+ 1.0 (* z z)))

rewrite16.0ms

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

series114.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
55.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
7.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite42.0ms

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:
5.0ms
(/ (/ 1.0 y) x)
16.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
55.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011322994
145722919
250022919

prune735.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 y))
0.6b
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
16.6b
(sqrt (+ 1.0 (* z z)))
16.6b
(sqrt (+ 1.0 (* z z)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
846×times-frac
408×add-sqr-sqrt
406×add-cube-cbrt *-un-lft-identity
286×cbrt-prod
165×sqrt-prod
52×associate-/l*
30×div-inv
9×add-exp-log
8×add-cbrt-cube
6×pow1 sqrt-div associate-/r*
4×add-log-exp
3×cbrt-undiv flip3-+ div-exp flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-div frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 439
Calls
4 calls:
1.0ms
(cbrt (/ 1.0 y))
23.0ms
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
2.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (/ 1.0 y))
180.0ms
(/ (/ (cbrt (/ 1.0 y)) x) (sqrt (+ 1.0 (* z z))))
51.0ms
(sqrt (+ 1.0 (* z z)))
44.0ms
(sqrt (+ 1.0 (* z z)))

simplify142.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
015297159
147866956
250026916

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ x (/ 1.0 y))
0.8b
(/ 1 (/ x (/ 1.0 y)))
7.1b
(/ (/ 1 (/ x (/ 1.0 y))) (+ 1.0 (* z z)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
2202×times-frac
968×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
143×associate-/l*
75×div-inv
61×add-exp-log
60×associate-/r*
43×div-exp
31×add-cbrt-cube
24×associate-/r/
19×cbrt-undiv
6×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip flip3-+ flip-+ associate-/l/ inv-pow
Counts
3 → 852
Calls
3 calls:
4.0ms
(/ x (/ 1.0 y))
12.0ms
(/ 1 (/ x (/ 1.0 y)))
46.0ms
(/ (/ 1 (/ x (/ 1.0 y))) (+ 1.0 (* z z)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ x (/ 1.0 y))
21.0ms
(/ 1 (/ x (/ 1.0 y)))
62.0ms
(/ (/ 1 (/ x (/ 1.0 y))) (+ 1.0 (* z z)))

simplify164.0ms

Algorithm
egg-herbie
Counts
861 → 861
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0341611711
1500111131

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 6.3b

regimes189.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01617
11617

end0.0ms

sample424.0ms

Algorithm
intervals
Results
246.0ms8631×body80valid