Details

Time bar (total: 2.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(- 1.0 (/ y z))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune152.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New62971
Fresh000
Picked011
Done000
Total621072

Merged error: 5.9b

Counts
72 → 10

localize7.0ms

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))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
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 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series108.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
41.0ms
(/ 1 (- 1.0 (/ y z)))
50.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0360744
11650663
25002613

prune224.0ms

Filtered
121 candidates to 70 candidates (57.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh178
Picked011
Done011
Total12110131

Merged error: 5.9b

Counts
131 → 10

localize7.0ms

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))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
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 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series173.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
119.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify71.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06122121
127201935
250011771

prune284.0ms

Filtered
219 candidates to 99 candidates (45.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2172219
Fresh437
Picked011
Done022
Total2218229

Merged error: 5.9b

Counts
229 → 8

localize12.0ms

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)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
43×*-un-lft-identity
41×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt
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* associate-/l* add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times associate-*l/ cbrt-unprod difference-of-squares
3×pow-flip div-inv 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 → 144
Calls
4 calls:
6.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (+ x y))
14.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
15.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- 1.0 (/ y z))
31.0ms
(/ 1 (+ x y))
118.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
44.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0443898
12008746
25001699

prune235.0ms

Filtered
156 candidates to 82 candidates (52.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1560156
Fresh044
Picked011
Done033
Total1568164

Merged error: 5.9b

Counts
164 → 8

regimes124.0ms

Accuracy

60.9% (0.6b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample377.0ms

Algorithm
intervals
Results
205.0ms7999×body80valid
0.0ms1×body1280valid