Details

Time bar (total: 4.0s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×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: 9.7b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite22.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune103.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 8.0b

Counts
54 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
9.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite26.0ms

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 frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ 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 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series107.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0343664
11615588
25001538

prune136.0ms

Filtered
103 candidates to 59 candidates (57.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done011
Total1038111

Merged error: 8.0b

Counts
111 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
42.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
295.0ms
(cbrt (- 1.0 (/ y z)))
325.0ms
(cbrt (- 1.0 (/ y z)))
467.0ms
(cbrt (- 1.0 (/ y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06552053
131821809
250021648

prune328.0ms

Filtered
158 candidates to 105 candidates (66.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh055
Picked011
Done022
Total1588166

Merged error: 8.0b

Counts
166 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
373.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify122.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune470.0ms

Filtered
201 candidates to 135 candidates (67.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh044
Picked011
Done033
Total2018209

Merged error: 8.0b

Counts
209 → 8

regimes143.0ms

Accuracy

50.9% (0.9b remaining)

Error of 6.7b against oracle of 5.8b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample395.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid