Details

Time bar (total: 4.8s)

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

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms100×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0349
1349

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.3b
(/ (- (* x y) (* z t)) a)

rewrite9.0ms

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)

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
18.0ms
(/ (- (* x y) (* z t)) a)

simplify43.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05340578

prune77.0ms

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 a)) (* z (/ t a)))
4.0b
(* z (/ t a))
4.7b
(* x (/ y a))

rewrite20.0ms

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:
4.0ms
(- (* x (/ y a)) (* z (/ t a)))
6.0ms
(* z (/ t a))
7.0ms
(* x (/ y a))

series30.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (* x (/ y a)) (* z (/ t a)))
7.0ms
(* z (/ t a))
5.0ms
(* x (/ y a))

simplify68.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05162704

prune113.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New81586
Fresh246
Picked101
Done011
Total841094

Merged error: 0b

Counts
94 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.4b
(* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) a))
4.7b
(* x (/ y a))

rewrite25.0ms

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))

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
8.0ms
(* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) a))
5.0ms
(* x (/ y a))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05161763

prune122.0ms

Filtered
73 candidates to 113 candidates (-54.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh088
Picked011
Done011
Total11310123

Merged error: 0b

Counts
123 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

4.0b
(* z (/ t a))
11.6b
(cbrt (/ y a))
11.6b
(cbrt (/ y a))
11.6b
(cbrt (/ y a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
38×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (/ t a))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (/ t a))
12.0ms
(cbrt (/ y a))
15.0ms
(cbrt (/ y a))
12.0ms
(cbrt (/ y a))

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05105773

prune100.0ms

Filtered
81 candidates to 110 candidates (-35.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh167
Picked011
Done022
Total11010120

Merged error: 0b

Counts
120 → 10

regimes1.3s

Accuracy

89.9% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03453
13453

end0.0ms

analyze833.0ms

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

sample695.0ms

Algorithm
intervals
Results
273.0ms8000×body80valid
105.0ms3033×body80invalid

Profiling

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