Details

Time bar (total: 3.8s)

analyze845.0ms

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

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms15×body80invalid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0500011

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

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×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 43
Calls
2 calls:
2.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- t (* a z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05099646

prune75.0ms

Filtered
41 candidates to 49 candidates (-19.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New44549
Fresh000
Picked101
Done000
Total45550

Merged error: 1.2b

Counts
50 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- t (* z a))
1.6b
(/ y (- (/ t z) a))
3.2b
(/ x (- t (* z a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×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 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
8.0ms
(- (/ t z) a)
3.0ms
(- t (* z a))
8.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* z a)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (/ t z) a)
7.0ms
(- t (* z a))
10.0ms
(/ y (- (/ t z) a))
11.0ms
(/ x (- t (* z a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
060101116

prune125.0ms

Filtered
81 candidates to 107 candidates (-32.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh044
Picked011
Done000
Total1048112

Merged error: 1.2b

Counts
112 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.5b
(/ 1 (- (/ t z) a))
1.7b
(* y (/ 1 (- (/ t z) a)))
3.2b
(/ x (- t (* z a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
54×times-frac
49×*-un-lft-identity
34×add-cube-cbrt
24×associate-*r*
19×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
9×associate-/r*
7×pow1 distribute-lft-out--
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp flip--
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 132
Calls
4 calls:
3.0ms
(- t (* z a))
8.0ms
(/ 1 (- (/ t z) a))
14.0ms
(* y (/ 1 (- (/ t z) a)))
4.0ms
(/ x (- t (* z a)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
10.0ms
(/ 1 (- (/ t z) a))
10.0ms
(* y (/ 1 (- (/ t z) a)))
13.0ms
(/ x (- t (* z a)))

simplify67.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049581394
149581394

prune145.0ms

Filtered
95 candidates to 144 candidates (-51.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh066
Picked011
Done011
Total1448152

Merged error: 1.2b

Counts
152 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ x (- t (* z a)))
7.3b
(cbrt (- (/ t z) a))
7.3b
(cbrt (- (/ t z) a))
7.3b
(cbrt (- (/ t z) a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×*-un-lft-identity
18×cbrt-prod
15×add-cube-cbrt
12×times-frac
6×add-exp-log cbrt-div add-cbrt-cube difference-of-squares
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3 associate-/r* associate-/l* distribute-lft-out--
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 77
Calls
4 calls:
4.0ms
(/ x (- t (* z a)))
6.0ms
(cbrt (- (/ t z) a))
6.0ms
(cbrt (- (/ t z) a))
6.0ms
(cbrt (- (/ t z) a))

series99.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ x (- t (* z a)))
28.0ms
(cbrt (- (/ t z) a))
31.0ms
(cbrt (- (/ t z) a))
29.0ms
(cbrt (- (/ t z) a))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
06246914

prune84.0ms

Filtered
70 candidates to 89 candidates (-27.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New87289
Fresh055
Picked101
Done022
Total88997

Merged error: 1.2b

Counts
97 → 9

regimes433.0ms

Accuracy

0% (1.4b remaining)

Error of 2.9b against oracle of 1.5b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11315

end0.0ms

analyze856.0ms

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

sample607.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid
26.0ms722×body80invalid

Profiling

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