Details

Time bar (total: 4.3s)

sample27.0ms

Algorithm
intervals
Results
15.0ms327×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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: 4.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ t (- 1.0 z))
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0387632
11452595
25002593

prune214.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New861298
Fresh000
Picked011
Done000
Total861399

Merged error: 0.5b

Counts
99 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.3b
(/ 1 (/ (- 1.0 z) t))
4.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
6.0ms
(/ (- 1.0 z) t)
38.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms
(/ 1 (/ (- 1.0 z) t))
46.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 z) t)
38.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
25.0ms
(/ 1 (/ (- 1.0 z) t))
46.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07521646
133961379
250021371

prune321.0ms

Filtered
214 candidates to 121 candidates (56.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh3811
Picked101
Done011
Total21512227

Merged error: 0.0b

Counts
227 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
7.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
41.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
133.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
315.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
04191341
19691257
225061243
350011222

prune339.0ms

Filtered
109 candidates to 84 candidates (77.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh01010
Picked011
Done011
Total10912121

Merged error: 0.0b

Counts
121 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
2.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
26.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt x)
170.0ms
(cbrt x)
172.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
71.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0426899
11901709
25003639

prune236.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh099
Picked011
Done022
Total10213115

Merged error: 0.0b

Counts
115 → 13

regimes400.0ms

Accuracy

88.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04856
14856

end0.0ms

sample605.0ms

Algorithm
intervals
Results
349.0ms10115×body80valid

Profiling

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