Details

Time bar (total: 2.7s)

analyze211.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms14×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.9b
(* y (+ 1.0 (* z z)))

rewrite14.0ms

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))))
5.0ms
(* y (+ 1.0 (* z z)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
9.0ms
(* y (+ 1.0 (* z z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0409511
11963443
25001443

prune130.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh000
Picked101
Done000
Total68977

Merged error: 6.9b

Counts
77 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* y (* z z)))
3.9b
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
9.1b
(* y (* z z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
54×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
15×distribute-lft-out
13×add-exp-log add-cbrt-cube associate-/l*
8×pow1
6×div-inv
5×add-log-exp
4×associate-/r*
3×cbrt-undiv div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-/r/ flip-+
1×+-commutative frac-2neg associate-*r* clear-num sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 117
Calls
3 calls:
3.0ms
(+ (* y 1.0) (* y (* z z)))
7.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
5.0ms
(* y (* z z))

series36.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (* y 1.0) (* y (* z z)))
21.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
6.0ms
(* y (* z z))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05751202
123781121
250031118

prune242.0ms

Filtered
99 candidates to 126 candidates (-27.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1251126
Fresh178
Picked101
Done000
Total1278135

Merged error: 3.3b

Counts
135 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* (* y z) z))
0.1b
(* (* y z) z)
3.9b
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube associate-/l*
8×pow1
5×div-inv add-log-exp
3×cbrt-undiv div-exp associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×flip3-+ associate-/r/ flip-+
1×+-commutative frac-2neg associate-*l* clear-num sum-log *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
6.0ms
(+ (* y 1.0) (* (* y z) z))
4.0ms
(* (* y z) z)
12.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* y 1.0) (* (* y z) z))
6.0ms
(* (* y z) z)
19.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05251102
123751002
25001999

prune180.0ms

Filtered
87 candidates to 110 candidates (-26.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh167
Picked011
Done000
Total1099118

Merged error: 3.3b

Counts
118 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
3.8b
(* (* y (+ 1.0 (* z z))) x)
4.9b
(* y (+ 1.0 (* z z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r*
4×associate-*l* pow-prod-down associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
9.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
6.0ms
(* (* y (+ 1.0 (* z z))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
11.0ms
(* (* y (+ 1.0 (* z z))) x)
9.0ms
(* y (+ 1.0 (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0367480
12077394
25002394

prune78.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh167
Picked101
Done011
Total77885

Merged error: 3.3b

Counts
85 → 8

regimes670.0ms

Accuracy

0% (1.4b remaining)

Error of 3.6b against oracle of 2.2b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

analyze218.0ms

Algorithm
search

sample457.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid
16.0ms466×body80invalid

Profiling

Loading profile data...