Details

Time bar (total: 7.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms285×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: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.2b
(* y (+ 1.0 (* z z)))

rewrite17.0ms

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)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
54.0ms
(* y (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.4b
(/ (/ (/ 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:
6.0ms
(/ (/ 1.0 y) x)
17.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ 1.0 y) x)
55.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
011322994
145722919
250022919

prune720.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (* x y))
5.4b
(/ (* 1.0 (/ 1 (* x y))) (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
21×add-cbrt-cube
16×div-exp
13×prod-exp
8×cbrt-undiv
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
5×pow1 cbrt-unprod
4×rec-exp 1-exp associate-/r* associate-/l*
2×pow-flip frac-2neg clear-num associate-/r/ div-inv associate-/l/ add-log-exp
1×flip3-+ associate-*r/ pow-prod-down un-div-inv flip-+ inv-pow
Counts
2 → 61
Calls
2 calls:
4.0ms
(/ 1 (* x y))
13.0ms
(/ (* 1.0 (/ 1 (* x y))) (+ 1.0 (* z z)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ 1 (* x y))
83.0ms
(/ (* 1.0 (/ 1 (* x y))) (+ 1.0 (* z z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0368404
11937323
25002312

prune100.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.1b

localize17.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (/ (/ (sqrt 1.0) y) (cbrt x)) (cbrt (+ 1.0 (* z z))))
16.4b
(cbrt (+ 1.0 (* z z)))
16.4b
(cbrt (+ 1.0 (* z z)))
16.4b
(cbrt (+ 1.0 (* z z)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
2496×times-frac
1142×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
882×cbrt-prod
378×sqrt-prod
136×associate-/l*
50×div-inv
13×add-exp-log
8×cbrt-div add-cbrt-cube
6×cbrt-undiv div-exp associate-/r*
4×pow1 flip3-+ flip-+ add-log-exp
3×pow1/3
2×associate-/r/
1×frac-2neg clear-num associate-/l/
Counts
4 → 1016
Calls
4 calls:
51.0ms
(/ (/ (/ (sqrt 1.0) y) (cbrt x)) (cbrt (+ 1.0 (* z z))))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(/ (/ (/ (sqrt 1.0) y) (cbrt x)) (cbrt (+ 1.0 (* z z))))
170.0ms
(cbrt (+ 1.0 (* z z)))
166.0ms
(cbrt (+ 1.0 (* z z)))
167.0ms
(cbrt (+ 1.0 (* z z)))

simplify217.0ms

Algorithm
egg-herbie
Counts
1028 → 1028
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0311820463
1500120261

prune4.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 5.1b

regimes196.0ms

Accuracy

0% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample417.0ms

Algorithm
intervals
Results
241.0ms8677×body80valid