Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
8.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
60.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04991403
115731048
25002967

prune155.0ms

Filtered
117 candidates to 60 candidates (51.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1089117
Fresh000
Picked011
Done000
Total10810118

Merged error: 5.1b

Counts
118 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
7.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
92×*-un-lft-identity
76×times-frac
66×add-cube-cbrt
39×prod-diff
24×frac-times associate-*r* associate-/r*
22×difference-of-squares
16×add-exp-log
13×flip3-+ flip-+ associate-/l*
12×associate-*r/
11×distribute-lft-out--
10×add-cbrt-cube
6×pow1
5×clear-num div-inv add-log-exp
4×frac-2neg div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg un-div-inv flip-- log1p-expm1-u unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod
1×sub-neg pow-flip diff-log pow-prod-down *-commutative distribute-lft-out inv-pow
Counts
3 → 195
Calls
3 calls:
9.0ms
(- 1.0 (/ y z))
13.0ms
(/ 1 (- 1.0 (/ y z)))
21.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- 1.0 (/ y z))
52.0ms
(/ 1 (- 1.0 (/ y z)))
58.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify142.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
07351967
131591542
250011396

prune555.0ms

Filtered
204 candidates to 101 candidates (49.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2031204
Fresh178
Picked011
Done101
Total2059214

Merged error: 5.1b

Counts
214 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
260×times-frac
242×add-sqr-sqrt
240×*-un-lft-identity
127×add-cube-cbrt
46×difference-of-squares
39×prod-diff
38×associate-/r*
32×distribute-lft-out
25×associate-/r/
24×distribute-lft-out--
17×associate-/l*
16×add-exp-log
10×add-cbrt-cube
9×div-inv
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv clear-num associate-/l/
3×expm1-log1p-u flip3-- frac-2neg fma-neg flip-- log1p-expm1-u remove-double-div
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 275
Calls
3 calls:
9.0ms
(- 1.0 (/ y z))
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
15.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series225.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (/ y z))
142.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
56.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify167.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
09003093
137252570
250012330

prune296.0ms

Filtered
284 candidates to 119 candidates (41.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2804284
Fresh437
Picked011
Done011
Total2849293

Merged error: 5.1b

Counts
293 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.3b
(/ 1 (- 1.0 (/ y z)))
7.1b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1194×times-frac
768×add-sqr-sqrt
739×*-un-lft-identity
453×add-cube-cbrt
126×difference-of-squares
102×associate-/r/
80×distribute-lft-out
63×distribute-lft-out--
52×add-exp-log
50×div-inv
39×prod-diff
38×associate-/r*
36×div-exp associate-/l*
26×flip3-+ flip-+
21×flip3-- flip--
20×add-cbrt-cube
12×associate-/l/
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
5×frac-2neg clear-num
4×expm1-log1p-u log1p-expm1-u
3×fma-neg
2×pow-flip inv-pow
1×sub-neg diff-log
Counts
4 → 673
Calls
4 calls:
8.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (+ x y))
9.0ms
(/ 1 (- 1.0 (/ y z)))
30.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- 1.0 (/ y z))
44.0ms
(/ 1 (+ x y))
49.0ms
(/ 1 (- 1.0 (/ y z)))
154.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify208.0ms

Algorithm
egg-herbie
Counts
685 → 685
Iterations

Useful iterations: 1 (102.0ms)

IterNodesCost
024599490
150038398

prune783.0ms

Filtered
685 candidates to 278 candidates (40.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New6832685
Fresh156
Picked011
Done022
Total68410694

Merged error: 5.1b

Counts
694 → 10

regimes126.0ms

Accuracy

0% (1.9b remaining)

Error of 7.4b against oracle of 5.5b and baseline of 7.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1145

end0.0ms

sample383.0ms

Algorithm
intervals
Results
216.0ms7998×body80valid
0.0ms2×body640valid