Details

Time bar (total: 4.3s)

analyze644.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms62×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite52.0ms

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))
21.0ms
(- (/ y z) (/ t (- 1.0 z)))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0387632
11452595
25002593

prune155.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh000
Picked101
Done000
Total891099

Merged error: 0.8b

Counts
99 → 10

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)))
0.6b
(/ 1 (/ (- 1.0 z) t))
3.4b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite117.0ms

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)
44.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms
(/ 1 (/ (- 1.0 z) t))
49.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (- 1.0 z) t)
8.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms
(/ 1 (/ (- 1.0 z) t))
15.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07521646
133961379
250021371

prune220.0ms

Filtered
121 candidates to 214 candidates (-76.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh369
Picked011
Done000
Total21410224

Merged error: 0.0b

Counts
224 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
107×add-sqr-sqrt
82×cbrt-prod
64×times-frac
36×distribute-lft-out--
33×cbrt-div
28×difference-of-squares
17×swap-sqr
15×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 143
Calls
4 calls:
44.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
39.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
39.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
03902117
111382038
241101872
350021851

prune332.0ms

Filtered
107 candidates to 155 candidates (-44.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh088
Picked011
Done011
Total15510165

Merged error: 0.0b

Counts
165 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
2.1b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

rewrite57.0ms

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)
27.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
24.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
20.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
46.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0448958
11805775
25002689

prune101.0ms

Filtered
66 candidates to 103 candidates (-56.1%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1012103
Fresh077
Picked011
Done022
Total10112113

Merged error: 0b

Counts
113 → 12

regimes564.0ms

Accuracy

29.7% (3.3b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13018

end0.0ms

analyze641.0ms

Algorithm
search

sample605.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
64.0ms1789×body80invalid

Profiling

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