Details

Time bar (total: 4.3s)

analyze1.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms69×body80invalid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
012209
112209

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.5b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
14.0ms
(/ (- (* x y) (* z t)) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05181577

prune92.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New40747
Fresh000
Picked011
Done000
Total40848

Merged error: 0.0b

Counts
48 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
6.4b
(/ a (- (* x y) (* z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 124
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* x y) (* z t))
20.0ms
(/ 1 (/ a (- (* x y) (* z t))))
14.0ms
(/ a (- (* x y) (* z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
053192109

prune162.0ms

Filtered
88 candidates to 133 candidates (-51.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1303133
Fresh156
Picked011
Done011
Total13110141

Merged error: 0.0b

Counts
141 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* z (/ t a)))
4.7b
(* z (/ t a))
5.2b
(* x (/ y a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r/ associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 77
Calls
3 calls:
5.0ms
(- (* x (/ y a)) (* z (/ t a)))
6.0ms
(* z (/ t a))
6.0ms
(* x (/ y a))

series27.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- (* x (/ y a)) (* z (/ t a)))
4.0ms
(* z (/ t a))
5.0ms
(* x (/ y a))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04969706
14969706

prune136.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New80686
Fresh257
Picked101
Done022
Total831396

Merged error: 0.0b

Counts
96 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.2b
(* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) a))
5.2b
(* x (/ y a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×associate-*r*
32×add-sqr-sqrt
30×add-exp-log
28×times-frac
27×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
15×pow1 cbrt-prod
14×prod-exp cbrt-unprod
7×pow-prod-down
4×cbrt-undiv div-exp associate-*l* add-log-exp
2×pow1/3 associate-*r/ *-commutative div-inv unswap-sqr
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
12.0ms
(* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) a))
6.0ms
(* x (/ y a))

series56.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
23.0ms
(cbrt t)
8.0ms
(* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) a))
5.0ms
(* x (/ y a))

simplify64.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04923737
14923737

prune101.0ms

Filtered
72 candidates to 113 candidates (-56.9%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh01010
Picked011
Done022
Total11313126

Merged error: 0.0b

Counts
126 → 13

regimes1.4s

Accuracy

96.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.7b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020277
120277

end0.0ms

sample756.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
112.0ms2900×body80invalid

Profiling

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