Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

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: 15.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
14.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
13.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
64.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune96.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 7.5b

Counts
58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.8b
(/ x (* z z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
23.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune197.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh617
Picked101
Done000
Total1177124

Merged error: 0.3b

Counts
124 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.4b
(* (/ x z) (/ y (+ z 1.0)))
1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x z) (/ y (+ z 1.0)))
14.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ x z) (/ y (+ z 1.0)))
49.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

simplify97.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07821119
14274918
25001910

prune234.0ms

Filtered
158 candidates to 96 candidates (60.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1544158
Fresh336
Picked011
Done000
Total1578165

Merged error: 0b

Counts
165 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ y (+ z 1.0)) z)
1.9b
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
5.6b
(* x (/ (/ y (+ z 1.0)) z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
165×*-un-lft-identity
124×add-sqr-sqrt
115×add-cube-cbrt
80×add-exp-log
59×associate-*r*
52×add-cbrt-cube
31×prod-exp
27×div-exp
25×distribute-lft-out
21×associate-/l*
17×cbrt-undiv cbrt-unprod
16×associate-*l* associate-/r/
11×pow1 div-inv
8×flip3-+ flip-+
7×associate-/r*
4×rec-exp 1-exp associate-*r/ pow-prod-down add-log-exp
3×unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 254
Calls
4 calls:
8.0ms
(/ y (+ z 1.0))
8.0ms
(/ (/ y (+ z 1.0)) z)
16.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
19.0ms
(* x (/ (/ y (+ z 1.0)) z))

series190.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ y (+ z 1.0))
42.0ms
(/ (/ y (+ z 1.0)) z)
46.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
66.0ms
(* x (/ (/ y (+ z 1.0)) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010191948
150011749

prune432.0ms

Filtered
266 candidates to 181 candidates (68.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2651266
Fresh156
Picked011
Done101
Total2677274

Merged error: 0b

Counts
274 → 7

regimes72.0ms

Accuracy

0% (3.0b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample508.0ms

Algorithm
intervals
Results
298.0ms10756×body80valid