Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×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: 10.8b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune119.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 8.9b

Counts
56 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
10.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
9.0ms
(/ 1 (- 1.0 (/ y z)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series102.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (- 1.0 (/ y z)))
52.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0351684
11631607
25001557

prune167.0ms

Filtered
107 candidates to 62 candidates (57.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh156
Picked011
Done011
Total1078115

Merged error: 8.9b

Counts
115 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
13.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series175.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify76.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05972063
126631879
250031714

prune249.0ms

Filtered
205 candidates to 90 candidates (43.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2041205
Fresh145
Picked011
Done022
Total2058213

Merged error: 8.9b

Counts
213 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
3.1b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
7.9b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
108×*-un-lft-identity
101×times-frac
61×cbrt-prod
48×add-cube-cbrt associate-*r*
30×cbrt-div difference-of-squares
18×add-exp-log
16×frac-times
15×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
12×associate-*l/
11×add-cbrt-cube
9×pow1
7×associate-/l*
6×prod-exp associate-/r* cbrt-unprod
5×associate-*r/
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-- pow1/3 flip-- div-inv associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 194
Calls
4 calls:
7.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
11.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
27.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ x y))
356.0ms
(cbrt (+ x y))
307.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
82.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify88.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06582222
129822096
250012050

prune471.0ms

Filtered
206 candidates to 149 candidates (72.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2060206
Fresh044
Picked011
Done033
Total2068214

Merged error: 8.9b

Counts
214 → 8

regimes140.0ms

Accuracy

29.7% (1.2b remaining)

Error of 6.5b against oracle of 5.2b and baseline of 7.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample348.0ms

Algorithm
intervals
Results
193.0ms7999×body80valid
0.0ms1×body1280valid