Details

Time bar (total: 4.5s)

analyze621.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms66×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.7b
(* 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))
20.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11453595
25001593

prune149.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New881098
Fresh000
Picked011
Done000
Total881199

Merged error: 0.3b

Counts
99 → 11

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))))

rewrite100.0ms

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:
43.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series160.0ms

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

simplify79.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
04331357
110301273
228101253
350011220

prune275.0ms

Filtered
84 candidates to 109 candidates (-29.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1054109
Fresh189
Picked101
Done011
Total10713120

Merged error: 0.3b

Counts
120 → 13

localize11.0ms

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))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite55.0ms

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)
22.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
28.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
47.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(* (* (cbrt x) (cbrt x)) (* (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
25001689

prune142.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh2911
Picked101
Done011
Total10412116

Merged error: 0.0b

Counts
116 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

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))))
7.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
52×*-un-lft-identity
40×cbrt-prod
32×times-frac
16×distribute-lft-out-- difference-of-squares
12×cbrt-div
8×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 84
Calls
4 calls:
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
40.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify152.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 4 (140.0ms)

IterNodesCost
02191060
14901016
212561000
34352956
45001948

prune303.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh01010
Picked011
Done011
Total9612108

Merged error: 0.0b

Counts
108 → 12

regimes657.0ms

Accuracy

71.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 4.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

analyze622.0ms

Algorithm
search

sample581.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
65.0ms1767×body80invalid

Profiling

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