Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite27.0ms

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:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (* z z) (+ z 1.0))
75.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune108.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.9b
(/ x (* z z))

rewrite38.0ms

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))
23.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series117.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune241.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.7b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite61.0ms

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))
25.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
24.0ms
(* (/ x z) (/ y (+ z 1.0)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ z 1.0))
47.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
53.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07821119
14277918
25001910

prune310.0ms

Filtered
158 candidates to 96 candidates (60.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(/ (* (/ x z) (/ y (+ z 1.0))) z)
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite39.0ms

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×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 → 118
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
9.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
21.0ms
(* (/ x z) (/ y (+ z 1.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z 1.0))
54.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
53.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0617830
13222711
25003711

prune316.0ms

Filtered
127 candidates to 89 candidates (70.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

2.6% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.1b

bsearch66.0ms

Steps
ItersRangePoint
10
-5.931595407750153e+220
-5.695195549090204e+202
-1.180222502452717e+219

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322
13322

end0.0ms

sample525.0ms

Algorithm
intervals
Results
310.0ms10798×body80valid