Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
11.0b
(/ (- 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 → 56
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
27.0ms
(- x (* y z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune146.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56965
Fresh000
Picked011
Done000
Total561066

Merged error: 10.9b

Counts
66 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.3b
(/ 1 (- t (* a z)))
10.8b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
3.0ms
(- t (* a z))
5.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
27.0ms
(- x (* y z))
47.0ms
(/ 1 (- t (* a z)))
51.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0333665
11483585
25002559

prune187.0ms

Filtered
111 candidates to 67 candidates (60.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh178
Picked011
Done101
Total10912121

Merged error: 10.9b

Counts
121 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.9b
(/ (- t (* a z)) (- x (* y z)))

rewrite23.0ms

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 → 140
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- t (* a z))
29.0ms
(- x (* y z))
191.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
54.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04971435
122451303
250011217

prune231.0ms

Filtered
152 candidates to 87 candidates (57.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1502152
Fresh1910
Picked011
Done011
Total15113164

Merged error: 10.9b

Counts
164 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.2b
(/ 1 (- x (* y z)))
0.3b
(/ 1 (- t (* a z)))
10.6b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 365
Calls
4 calls:
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- x (* y z)))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (* y z))
41.0ms
(/ 1 (- x (* y z)))
47.0ms
(/ 1 (- t (* a z)))
194.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify82.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015635321
150014819

prune543.0ms

Filtered
377 candidates to 186 candidates (49.3%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New3761377
Fresh1910
Picked011
Done022
Total37713390

Merged error: 10.9b

Counts
390 → 13

regimes267.0ms

Accuracy

0% (0.4b remaining)

Error of 10.7b against oracle of 10.3b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample570.0ms

Algorithm
intervals
Results
309.0ms8749×body80valid

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