Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
12.0ms280×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

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: 9.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.2b
(/ (- x (* y z)) (- t (* a z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
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)))

simplify104.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune219.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New711283
Fresh000
Picked101
Done000
Total721284

Merged error: 9.2b

Counts
84 → 12

localize9.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (fma z y (- x)) (fma z a (- t)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
3.0ms
(/ (fma z y (- x)) (fma z a (- t)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (fma z y (- x)) (fma z a (- t)))

simplify94.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
094267
1259245
2954245
33727243
45003243

prune126.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh2911
Picked011
Done000
Total321244

Merged error: 9.1b

Counts
44 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.6b
(/ 1 (- t (* a z)))
8.9b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
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 → 119
Calls
4 calls:
5.0ms
(- t (* a z))
5.0ms
(- x (* y z))
8.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
27.0ms
(- x (* y z))
47.0ms
(/ 1 (- t (* a z)))
51.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0380761
11594661
25001633

prune249.0ms

Filtered
131 candidates to 89 candidates (67.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1283131
Fresh3710
Picked011
Done011
Total13112143

Merged error: 9.1b

Counts
143 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.2b
(/ (- t (* a z)) (- x (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×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×fma-neg prod-diff div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 160
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)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
31.0ms
(- x (* y z))
196.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
55.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05441535
123681380
250031291

prune278.0ms

Filtered
172 candidates to 106 candidates (61.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1702172
Fresh279
Picked011
Done022
Total17212184

Merged error: 9.1b

Counts
184 → 12

regimes273.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.2b and baseline of 10.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample596.0ms

Algorithm
intervals
Results
332.0ms8740×body80valid