Details

Time bar (total: 4.0s)

analyze917.0ms (22.9%)

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

sample33.0ms (0.8%)

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms101×body80invalid

simplify22.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05509
15509

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
8.1b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms (0.2%)

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:

5.0ms
(/ (- (* x y) (* z t)) a)
3.0ms
(- (* x y) (* z t))

series25.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(/ (- (* x y) (* z t)) a)
10.0ms
(- (* x y) (* z t))

simplify39.0ms (1%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05334577

prune93.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New39847
Fresh000
Picked011
Done000
Total39948

Merged error: 0.0b

Counts
48 → 9

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* z (/ t a)))
4.6b
(* x (/ y a))
7.2b
(* z (/ t a))

rewrite20.0ms (0.5%)

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
pow1
associate-*r/ associate-*l*
add-log-exp
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 77
Calls

3 calls:

6.0ms
(* z (/ t a))
6.0ms
(* x (/ y a))
5.0ms
(- (* x (/ y a)) (* z (/ t a)))

series29.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(- (* x (/ y a)) (* z (/ t a)))
5.0ms
(* z (/ t a))
5.0ms
(* x (/ y a))

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04955706
14955706

prune140.0ms (3.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80686
Fresh347
Picked101
Done011
Total841195

Merged error: 0.0b

Counts
95 → 11

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.0b
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))
4.6b
(* x (/ y a))

rewrite28.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp unswap-sqr
add-log-exp
div-inv
pow1/3 associate-*r/ pow-prod-down *-commutative
frac-times associate-*l/
Counts
4 → 113
Calls

4 calls:

16.0ms
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))
6.0ms
(* x (/ y a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series58.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt a)
21.0ms
(cbrt a)
10.0ms
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))
5.0ms
(* x (/ y a))

simplify86.0ms (2.1%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04932977
14932977

prune183.0ms (4.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh189
Picked011
Done011
Total12511136

Merged error: 0.0b

Counts
136 → 11

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.0b
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) a))
7.2b
(* z (/ t a))

rewrite25.0ms (0.6%)

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
pow-prod-down
cbrt-undiv div-exp associate-*l* add-log-exp
pow1/3 associate-*r/ *-commutative div-inv unswap-sqr
Counts
4 → 101
Calls

4 calls:

13.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) a))
6.0ms
(* z (/ t a))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series58.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(cbrt y)
21.0ms
(cbrt y)
8.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) a))
5.0ms
(* z (/ t a))

simplify48.0ms (1.2%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04911763
14911763

prune124.0ms (3.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh088
Picked011
Done022
Total11311124

Merged error: 0.0b

Counts
124 → 11

regimes1.2s (30.1%)

Accuracy

Total 1.8b remaining (97.2%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010965
110965

end0.0ms (0%)

sample763.0ms (19%)

Algorithm
intervals
Results
287.0ms8000×body80valid
116.0ms3146×body80invalid

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