Details

Time bar (total: 4.3s)

analyze922.0ms

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
9.0ms256×body80valid
3.0ms83×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.6b
(/ (- (* x y) (* z t)) a)

rewrite17.0ms

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 → 42
Calls
2 calls:
6.0ms
(- (* x y) (* z t))
9.0ms
(/ (- (* x y) (* z t)) a)

series29.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

simplify79.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204313
1717288
22686288
35001288

prune210.0ms

Filtered
37 candidates to 48 candidates (-29.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New381048
Fresh000
Picked101
Done000
Total391049

Merged error: 6.6b

Counts
49 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
4.2b
(/ (* t z) a)
5.3b
(/ (* x y) a)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
7.0ms
(- (/ (* x y) a) (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series27.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ (* x y) a) (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0275315
11238283
25001283

prune92.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New62668
Fresh639
Picked101
Done000
Total69978

Merged error: 0b

Counts
78 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.6b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.3b
(/ (* x y) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*l*
pow1 unswap-sqr
add-log-exp
associate-/r* div-inv
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
13.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series60.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
24.0ms
(cbrt a)
10.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0540790
12622684
25002631

prune115.0ms

Filtered
83 candidates to 114 candidates (-37.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh088
Picked011
Done000
Total1149123

Merged error: 0b

Counts
123 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* t z) a))
4.2b
(/ (* t z) a)
5.2b
(/ x (/ a y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp add-log-exp
associate-/l*
pow1 difference-of-squares
frac-2neg clear-num
sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
23.0ms
(- (/ x (/ a y)) (/ (* t z) a))
4.0ms
(/ (* t z) a)
5.0ms
(/ x (/ a y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (/ x (/ a y)) (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ x (/ a y))

simplify53.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0500706
12110670
25002669

prune99.0ms

Filtered
92 candidates to 117 candidates (-27.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh347
Picked011
Done011
Total1188126

Merged error: 0b

Counts
126 → 8

regimes774.0ms

Accuracy

42.6% (4.2b remaining)

Error of 4.6b against oracle of 0.4b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122
13122

end0.0ms

analyze812.0ms

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

sample747.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
110.0ms2904×body80invalid

Profiling

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