Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms344×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

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: 16.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0387405
12384314
25001313

prune114.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New54761
Fresh000
Picked101
Done000
Total55762

Merged error: 8.3b

Counts
62 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
3.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.8b
(/ x (* z z))

rewrite26.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune255.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1157122
Fresh516
Picked101
Done000
Total1218129

Merged error: 0.0b

Counts
129 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.0b
(* (/ x z) (/ y (+ z 1.0)))
1.1b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

rewrite41.0ms

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×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
16.0ms
(* (/ x z) (/ y (+ z 1.0)))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ x z) (/ y (+ z 1.0)))
45.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

simplify96.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07951149
14359939
25001939

prune296.0ms

Filtered
164 candidates to 102 candidates (62.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1586164
Fresh437
Picked101
Done000
Total1639172

Merged error: 0.0b

Counts
172 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.0b
(* (/ x z) (/ y (+ z 1.0)))
1.1b
(/ (* (/ x z) (/ y (+ z 1.0))) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*r*
14×cbrt-undiv div-exp
13×associate-*l*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x z) (/ y (+ z 1.0)))
10.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)

series131.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ x z) (/ y (+ z 1.0)))
55.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)

simplify76.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0630858
13298730
25001730

prune268.0ms

Filtered
133 candidates to 95 candidates (71.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1294133
Fresh448
Picked101
Done000
Total1348142

Merged error: 0b

Counts
142 → 8

regimes83.0ms

Accuracy

0% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample524.0ms

Algorithm
intervals
Results
302.0ms10855×body80valid