Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

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: 7.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite24.0ms

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)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05041403
116141048
25001967

prune207.0ms

Filtered
117 candidates to 60 candidates (51.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New10710117
Fresh000
Picked011
Done000
Total10711118

Merged error: 5.9b

Counts
118 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.5b
(/ 1 (- 1.0 (/ y z)))
6.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 160
Calls
3 calls:
9.0ms
(- 1.0 (/ y z))
9.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- 1.0 (/ y z))
46.0ms
(/ 1 (- 1.0 (/ y z)))
57.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06461655
126011241
250011110

prune295.0ms

Filtered
169 candidates to 85 candidates (50.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1672169
Fresh279
Picked011
Done011
Total16911180

Merged error: 5.9b

Counts
180 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 258
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series194.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
132.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify109.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08983034
137342513
250012273

prune368.0ms

Filtered
267 candidates to 114 candidates (42.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2652267
Fresh538
Picked011
Done022
Total2708278

Merged error: 5.9b

Counts
278 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
7.4b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
76×add-sqr-sqrt
59×add-cube-cbrt
58×times-frac
52×add-exp-log
39×prod-diff
20×div-exp add-cbrt-cube
18×associate-*r*
16×prod-exp
10×pow1 rec-exp 1-exp associate-/r/
7×distribute-lft-out
6×cbrt-undiv associate-*l* div-inv associate-/l* add-log-exp
5×flip3-- associate-/r* flip--
4×expm1-log1p-u frac-times associate-*l/ cbrt-unprod log1p-expm1-u difference-of-squares
3×pow-flip fma-neg unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ distribute-lft-out-- inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 194
Calls
4 calls:
8.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (+ x y))
15.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
16.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (+ x y))
127.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
48.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07291821
129361336
250011208

prune306.0ms

Filtered
206 candidates to 99 candidates (48.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2060206
Fresh044
Picked011
Done033
Total2068214

Merged error: 5.9b

Counts
214 → 8

regimes134.0ms

Accuracy

60.9% (0.6b remaining)

Error of 6.7b against oracle of 6.0b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample361.0ms

Algorithm
intervals
Results
198.0ms7999×body80valid
0.0ms1×body1280valid