Details

Time bar (total: 18.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify15.0ms

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: 5.8b

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.5b
(* 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*
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))))
9.0ms
(* y (+ 1.0 (* z z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
52.0ms
(* y (+ 1.0 (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune170.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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)
20.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 y) x)
61.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify111.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011322994
145722919
250022919

prune727.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
1.5b
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
16.8b
(sqrt (+ 1.0 (* z z)))
16.8b
(sqrt (+ 1.0 (* z z)))

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
6882×times-frac
2950×add-sqr-sqrt
2948×add-cube-cbrt *-un-lft-identity
1836×sqrt-prod
307×associate-/l*
205×div-inv
27×add-exp-log add-cbrt-cube
22×sqrt-div
18×associate-/r/
16×cbrt-undiv div-exp
12×associate-/r*
11×flip3-+ flip-+
6×pow1
4×add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2231
Calls
4 calls:
83.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
19.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
2.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
88.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
48.0ms
(sqrt (+ 1.0 (* z z)))
42.0ms
(sqrt (+ 1.0 (* z z)))

simplify669.0ms

Algorithm
egg-herbie
Counts
2243 → 2243
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0500151298

prune6.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (/ (/ (cbrt 1.0) y) (cbrt x)) (sqrt (cbrt (+ 1.0 (* z z)))))
16.8b
(sqrt (+ 1.0 (* z z)))
17.3b
(cbrt (+ 1.0 (* z z)))
17.3b
(cbrt (+ 1.0 (* z z)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
3624×times-frac
1649×add-sqr-sqrt
1648×add-cube-cbrt *-un-lft-identity
1617×cbrt-prod
825×sqrt-prod
136×associate-/l*
71×div-inv
13×add-exp-log
10×add-cbrt-cube
9×associate-/r*
6×cbrt-undiv cbrt-div div-exp
5×pow1
4×flip3-+ sqrt-div flip-+ add-log-exp
2×pow1/3 associate-/r/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 1429
Calls
4 calls:
57.0ms
(/ (/ (/ (cbrt 1.0) y) (cbrt x)) (sqrt (cbrt (+ 1.0 (* z z)))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))
3.0ms
(cbrt (+ 1.0 (* z z)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(/ (/ (/ (cbrt 1.0) y) (cbrt x)) (sqrt (cbrt (+ 1.0 (* z z)))))
48.0ms
(sqrt (+ 1.0 (* z z)))
176.0ms
(cbrt (+ 1.0 (* z z)))
178.0ms
(cbrt (+ 1.0 (* z z)))

simplify322.0ms

Algorithm
egg-herbie
Counts
1441 → 1441
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0413931977
1500131618

prune8.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.5b

regimes252.0ms

Accuracy

0% (1.5b remaining)

Error of 6.7b against oracle of 5.2b and baseline of 6.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01210
11210

end0.0ms

sample419.0ms

Algorithm
intervals
Results
243.0ms8615×body80valid