Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify149.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
042299
142299

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ 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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04914775
14914775

prune86.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 6.1b

Counts
54 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
8.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite32.0ms

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:
9.0ms
(/ 1 (- 1.0 (/ y z)))
19.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
059651114

prune130.0ms

Filtered
62 candidates to 103 candidates (-66.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh066
Picked011
Done011
Total10110111

Merged error: 6.1b

Counts
111 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))

rewrite74.0ms

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:
44.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
9.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
35.0ms
(cbrt (- 1.0 (/ y z)))
35.0ms
(cbrt (- 1.0 (/ y z)))
38.0ms
(cbrt (- 1.0 (/ y z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
053862425

prune304.0ms

Filtered
110 candidates to 158 candidates (-43.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh077
Picked011
Done022
Total15810168

Merged error: 6.1b

Counts
168 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
3.2b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
5.7b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

rewrite60.0ms

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×associate-/r/ 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 → 186
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
12.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
28.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ x y))
55.0ms
(cbrt (+ x y))
71.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
14.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify91.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049113117
149113117

prune201.0ms

Filtered
129 candidates to 198 candidates (-53.5%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1971198
Fresh156
Picked011
Done033
Total19810208

Merged error: 6.1b

Counts
208 → 10

regimes305.0ms

Accuracy

70% (0.6b remaining)

Error of 5.9b against oracle of 5.3b and baseline of 7.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06257
16257

end0.0ms

sample496.0ms

Algorithm
intervals
Results
222.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

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