Details

Time bar (total: 4.7s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.4729%

Guaranteed chance to sample good point: 74.378754%

Results
8.0ms256×body80valid
2.0ms73×body80invalid

simplify140.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
3.7b
(* (/ x y) (- z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ (* (/ x y) (- z t)) t)
11.0ms
(* (/ x y) (- z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0314342
11191302
25002302

prune101.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New531063
Fresh000
Picked101
Done000
Total541064

Merged error: 0.0b

Counts
64 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
5×associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
19.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
15.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify74.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06101418
13084907
25001740

prune126.0ms

Filtered
63 candidates to 110 candidates (-74.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh099
Picked011
Done000
Total10911120

Merged error: 0b

Counts
120 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.0b
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.0b
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.0b
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div times-frac div-inv
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt y)
33.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
20.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
21.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify184.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (178.0ms)

IterNodesCost
0143651
1290596
2784556
32818519
45002510

prune92.0ms

Filtered
50 candidates to 65 candidates (-30.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh099
Picked011
Done011
Total651176

Merged error: 0b

Counts
76 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) z) (- t (* t (/ x y))))
2.3b
(* t (/ x y))
3.2b
(* (/ x y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
20×times-frac
19×add-cube-cbrt *-un-lft-identity
16×associate-*r* associate-*l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
4×prod-exp cbrt-unprod unswap-sqr
3×associate-*l/
2×cbrt-undiv associate-+r+ div-exp pow-prod-down frac-add sum-log *-commutative div-inv
1×+-commutative associate-+r- sub-neg flip3-- flip3-+ diff-log associate-*r/ flip-- flip-+
Counts
3 → 81
Calls
3 calls:
6.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
6.0ms
(* t (/ x y))
6.0ms
(* (/ x y) z)

series20.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* (/ x y) z) (- t (* t (/ x y))))
5.0ms
(* t (/ x y))
5.0ms
(* (/ x y) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0427450
12029411
25002396

prune69.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh088
Picked011
Done022
Total9011101

Merged error: 0b

Counts
101 → 11

regimes494.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.4729%

Guaranteed chance to sample good point: 74.378754%

Results
267.0ms8000×body80valid
80.0ms2336×body80invalid

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