Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
12.0ms280×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.1b
(* 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)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
77.0ms
(* y (+ 1.0 (* z z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0409511
11963443
25001443

prune171.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh000
Picked011
Done000
Total70777

Merged error: 6.4b

Counts
77 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

6.1b
(* y (+ 1.0 (* z z)))
14.7b
(cbrt (* y (+ 1.0 (* z z))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* y (+ 1.0 (* z z)))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* y (+ 1.0 (* z z)))
198.0ms
(cbrt (* y (+ 1.0 (* z z))))
194.0ms
(cbrt (* y (+ 1.0 (* z z))))
177.0ms
(cbrt (* y (+ 1.0 (* z z))))

simplify105.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0263526
11028485
24280457
35003457

prune182.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh055
Picked011
Done011
Total66874

Merged error: 6.4b

Counts
74 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

6.1b
(* y (+ 1.0 (* z z)))
14.7b
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ 1.0 (* z z)))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* y (+ 1.0 (* z z)))
9.0ms
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ 1.0 (* z z)))))
7.0ms
(cbrt (* y (+ 1.0 (* z z))))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* y (+ 1.0 (* z z)))
395.0ms
(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (+ 1.0 (* z z)))))
175.0ms
(cbrt (* y (+ 1.0 (* z z))))
175.0ms
(cbrt (* y (+ 1.0 (* z z))))

simplify133.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0303591
11201540
24881512
35002512

prune229.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done022
Total67875

Merged error: 6.4b

Counts
75 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
7.7b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite39.0ms

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:
8.0ms
(/ (/ 1.0 y) x)
14.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ 1.0 y) x)
56.0ms
(/ (/ (/ 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

prune575.0ms

Filtered
270 candidates to 233 candidates (86.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2682270
Fresh224
Picked011
Done033
Total2708278

Merged error: 6.4b

Counts
278 → 8

regimes209.0ms

Accuracy

0% (1.4b remaining)

Error of 6.3b against oracle of 4.9b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample475.0ms

Algorithm
intervals
Results
302.0ms8620×body80valid