Details

Time bar (total: 3.2s)

analyze899.0ms

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
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0490011
1490011

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- x (* y z))
6.0ms
(- t (* a z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05502755

prune100.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 8.3b

Counts
64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
1.4b
(* y (/ z (- t (* z a))))
3.6b
(/ x (- t (* z a)))
9.0b
(/ z (- t (* z a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 103
Calls
4 calls:
3.0ms
(- t (* z a))
8.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ x (- t (* z a)))
5.0ms
(/ z (- t (* z a)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
13.0ms
(* y (/ z (- t (* z a))))
13.0ms
(/ x (- t (* z a)))
10.0ms
(/ z (- t (* z a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052041123

prune140.0ms

Filtered
90 candidates to 115 candidates (-27.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1132115
Fresh066
Picked011
Done011
Total11310123

Merged error: 2.4b

Counts
123 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
0.0b
(- t (* z a))
1.7b
(/ y (- (/ t z) a))
3.6b
(/ x (- t (* z a)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
37×times-frac
33×*-un-lft-identity
23×add-cube-cbrt
16×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 unpow-prod-down flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv sqr-pow
Counts
4 → 101
Calls
4 calls:
29.0ms
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
3.0ms
(- t (* z a))
10.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* z a)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
6.0ms
(- t (* z a))
10.0ms
(/ y (- (/ t z) a))
11.0ms
(/ x (- t (* z a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049321516
149321516

prune145.0ms

Filtered
85 candidates to 113 candidates (-32.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done022
Total11310123

Merged error: 2.4b

Counts
123 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* z a))
0.5b
(/ 1 (/ (- t (* z a)) (- x (* y z))))
11.6b
(/ (- t (* z a)) (- x (* y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 138
Calls
4 calls:
3.0ms
(- x (* y z))
3.0ms
(- t (* z a))
10.0ms
(/ 1 (/ (- t (* z a)) (- x (* y z))))
6.0ms
(/ (- t (* z a)) (- x (* y z)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- x (* y z))
6.0ms
(- t (* z a))
38.0ms
(/ 1 (/ (- t (* z a)) (- x (* y z))))
19.0ms
(/ (- t (* z a)) (- x (* y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051922492

prune130.0ms

Filtered
106 candidates to 150 candidates (-41.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1491150
Fresh426
Picked101
Done033
Total1546160

Merged error: 0.0b

Counts
160 → 6

regimes459.0ms

Accuracy

17.9% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012879
112879

end0.0ms

sample621.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid
29.0ms696×body80invalid

Profiling

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