Details

Time bar (total: 11.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
9.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
86×*-un-lft-identity
49×times-frac
34×distribute-lft-out-- difference-of-squares
18×add-cube-cbrt
17×associate-*l* unswap-sqr
7×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- flip--
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 → 96
Calls
2 calls:
6.0ms
(- x (* y z))
15.0ms
(/ (- x (* y z)) (- t (* a z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (* y z))
62.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify103.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0339929
11025902
23560902
35001902

prune175.0ms

Filtered
102 candidates to 61 candidates (40.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New9012102
Fresh000
Picked011
Done000
Total9013103

Merged error: 9.1b

Counts
103 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.6b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
512×add-sqr-sqrt
442×*-un-lft-identity
410×times-frac
152×distribute-lft-out--
150×difference-of-squares
137×add-cube-cbrt
76×associate-*l*
75×unswap-sqr
69×associate-/r*
29×associate-/r/
20×associate-/l*
16×add-exp-log
10×add-cbrt-cube
8×flip3-- div-exp flip--
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv clear-num associate-/l/ remove-double-div
3×frac-2neg
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 362
Calls
3 calls:
11.0ms
(- x (* y z))
25.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
15.0ms
(/ (- t (* a z)) (- x (* y z)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (* y z))
222.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
67.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
371 → 371
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08454239
140333938
250013654

prune394.0ms

Filtered
371 candidates to 137 candidates (63.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New3665371
Fresh5611
Picked011
Done011
Total37113384

Merged error: 9.1b

Counts
384 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.3b
(/ 1 (- t (* a z)))
0.6b
(/ 1 (- x (* y z)))
9.1b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
1947×times-frac
1543×add-sqr-sqrt
1364×*-un-lft-identity
648×add-cube-cbrt
358×distribute-lft-out-- difference-of-squares
179×associate-*l* unswap-sqr
129×associate-/r/
59×flip3-- flip-- div-inv
55×associate-/r*
52×add-exp-log
39×associate-/l*
36×div-exp
20×add-cbrt-cube
13×associate-/l/
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
5×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log
Counts
4 → 953
Calls
4 calls:
6.0ms
(- x (* y z))
8.0ms
(/ 1 (- t (* a z)))
16.0ms
(/ 1 (- x (* y z)))
39.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series375.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (* y z))
50.0ms
(/ 1 (- t (* a z)))
53.0ms
(/ 1 (- x (* y z)))
235.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify208.0ms

Algorithm
egg-herbie
Counts
965 → 965
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0298815570
1500213980

prune995.0ms

Filtered
965 candidates to 321 candidates (66.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9614965
Fresh4610
Picked011
Done112
Total96612978

Merged error: 9.1b

Counts
978 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b
(cbrt (/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z)))))
9.1b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
9.1b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
9.1b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite610.0ms

Algorithm
rewrite-expression-head
Rules
7620×times-frac
5885×add-sqr-sqrt
5205×*-un-lft-identity
2485×add-cube-cbrt
1360×distribute-lft-out-- difference-of-squares
746×cbrt-prod
680×associate-*l* unswap-sqr
500×associate-/r/
228×div-inv
224×flip3-- flip--
164×associate-/r*
132×associate-/l*
124×add-exp-log
96×div-exp
70×cbrt-div
52×associate-/l/
40×add-cbrt-cube
24×cbrt-undiv rec-exp 1-exp
12×frac-2neg clear-num
4×pow1 add-log-exp
1×pow1/3
Counts
4 → 3341
Calls
4 calls:
69.0ms
(cbrt (/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z)))))
43.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
42.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
38.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
454.0ms
(cbrt (/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z)))))
223.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
239.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))
233.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify669.0ms

Algorithm
egg-herbie
Counts
3353 → 3353
Iterations

Useful iterations: 1 (92.0ms)

IterNodesCost
0390061835
1500156553

prune5.2s

Filtered
3353 candidates to 1040 candidates (69.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New335303353
Fresh099
Picked011
Done022
Total3353123365

Merged error: 9.1b

Counts
3365 → 12

regimes336.0ms

Accuracy

0% (1.4b remaining)

Error of 11.0b against oracle of 9.6b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample554.0ms

Algorithm
intervals
Results
281.0ms8695×body80valid