Details

Time bar (total: 3.9s)

analyze874.0ms

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

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms88×body80invalid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05509
15509

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.7b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
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))
15.0ms
(/ (- (* x y) (* z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05334577

prune96.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New361147
Fresh000
Picked101
Done000
Total371148

Merged error: 0.0b

Counts
48 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 51
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
9.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify40.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05281652

prune87.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh3710
Picked011
Done000
Total581068

Merged error: 0.0b

Counts
68 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
5.7b
(/ 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
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 124
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x y) (* z t))
23.0ms
(/ 1 (/ a (- (* x y) (* z t))))
15.0ms
(/ a (- (* x y) (* z t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
052082109

prune138.0ms

Filtered
86 candidates to 133 candidates (-54.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh088
Picked011
Done011
Total13211143

Merged error: 0.0b

Counts
143 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
2.9b
(/ (cbrt a) (- (* x y) (* z t)))
3.0b
(/ (/ 1 (* (cbrt a) (cbrt a))) (/ (cbrt a) (- (* x y) (* z t))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
405×times-frac
175×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
90×cbrt-prod
51×add-exp-log
35×div-inv
30×div-exp
27×associate-/r*
19×associate-/r/ add-cbrt-cube
14×cbrt-undiv
13×associate-/l*
flip3-- flip--
prod-exp
pow1 rec-exp 1-exp add-log-exp
frac-2neg pow1/3 clear-num cbrt-unprod
associate-/l/
Counts
4 → 294
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
6.0ms
(/ (cbrt a) (- (* x y) (* z t)))
19.0ms
(/ (/ 1 (* (cbrt a) (cbrt a))) (/ (cbrt a) (- (* x y) (* z t))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
22.0ms
(cbrt a)
40.0ms
(/ (cbrt a) (- (* x y) (* z t)))
28.0ms
(/ (/ 1 (* (cbrt a) (cbrt a))) (/ (cbrt a) (- (* x y) (* z t))))

simplify124.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049476851
149476851

prune241.0ms

Filtered
170 candidates to 306 candidates (-80.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3060306
Fresh088
Picked011
Done022
Total30611317

Merged error: 0.0b

Counts
317 → 11

regimes1.1s

Accuracy

78.7% (1.6b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07543
17543

end0.0ms

sample713.0ms

Algorithm
intervals
Results
273.0ms8000×body80valid
107.0ms3083×body80invalid

Profiling

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