Details

Time bar (total: 3.6s)

sample57.0ms

Algorithm
intervals
Results
29.0ms506×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04815
14815

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.9b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

4.7b
(* z (/ z (* t t)))
6.2b
(* x (/ x (* y y)))
8.1b
(/ z (* t t))
10.4b
(/ x (* y y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
8.0ms
(* z (/ z (* t t)))
8.0ms
(* x (/ x (* y y)))
5.0ms
(/ z (* t t))
5.0ms
(/ x (* y y))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (/ z (* t t)))
9.0ms
(* x (/ x (* y y)))
6.0ms
(/ z (* t t))
5.0ms
(/ x (* y y))

simplify36.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05082716

prune176.0ms

Filtered
68 candidates to 110 candidates (-61.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New9416110
Fresh011
Picked101
Done000
Total9517112

Merged error: 1.1b

Counts
112 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
0.3b
(* (/ x y) (/ x y))
4.7b
(* z (/ z (* t t)))
8.1b
(/ z (* t t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×associate-*r/ div-inv add-log-exp unswap-sqr
3×frac-add associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up flip-+
Counts
4 → 130
Calls
4 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
11.0ms
(* (/ x y) (/ x y))
8.0ms
(* z (/ z (* t t)))
5.0ms
(/ z (* t t))

series45.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
6.0ms
(* (/ x y) (/ x y))
6.0ms
(* z (/ z (* t t)))
5.0ms
(/ z (* t t))

simplify41.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052921196

prune190.0ms

Filtered
89 candidates to 142 candidates (-59.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New13111142
Fresh11516
Picked101
Done000
Total14316159

Merged error: 0.0b

Counts
159 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
8.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
11.0ms
(* (/ x y) (/ x y))
11.0ms
(* (/ z t) (/ z t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
6.0ms
(* (/ x y) (/ x y))
6.0ms
(* (/ z t) (/ z t))

simplify50.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049881511
149881511

prune197.0ms

Filtered
103 candidates to 163 candidates (-58.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1585163
Fresh51015
Picked101
Done000
Total16415179

Merged error: 0.0b

Counts
179 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.8b
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
26×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac prod-exp cbrt-unprod
13×pow1
6×cbrt-undiv div-exp pow-prod-down
5×associate-*r/
4×add-log-exp
3×pow1/3
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

series87.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
28.0ms
(cbrt x)
24.0ms
(cbrt x)
10.0ms
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05029682

prune77.0ms

Filtered
59 candidates to 98 candidates (-66.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh01414
Picked011
Done000
Total9815113

Merged error: 0.0b

Counts
113 → 15

regimes788.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
11622

end0.0ms

sample1.5s

Algorithm
intervals
Results
766.0ms15460×body80valid

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