Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms357×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

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: 6.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
6.4b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

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×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
5.0ms
(- (* x y) (* z t))
6.0ms
(/ (- (* x y) (* z t)) a)

series106.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z t))
63.0ms
(/ (- (* x y) (* z t)) a)

simplify108.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune167.0ms

Filtered
54 candidates to 43 candidates (79.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New441054
Fresh000
Picked011
Done000
Total441155

Merged error: 6.4b

Counts
55 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ a (- (* x y) (* z t))))
0.3b
(- (* x y) (* z t))
6.4b
(/ a (- (* x y) (* z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
12.0ms
(/ 1 (/ a (- (* x y) (* z t))))
4.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ 1 (/ a (- (* x y) (* z t))))
44.0ms
(- (* x y) (* z t))
42.0ms
(/ a (- (* x y) (* z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04431267
118961141
250011049

prune299.0ms

Filtered
142 candidates to 81 candidates (57.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1366142
Fresh459
Picked101
Done011
Total14112153

Merged error: 6.4b

Counts
153 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
6.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
10.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series99.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
53.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0292413
11156361
25001342

prune173.0ms

Filtered
64 candidates to 45 candidates (70.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh1910
Picked011
Done011
Total641276

Merged error: 6.4b

Counts
76 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.3b
(- (* x y) (* z t))
0.7b
(/ 1 (- (* x y) (* z t)))
5.7b
(* a (/ 1 (- (* x y) (* z t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg fma-neg diff-log prod-diff *-commutative
Counts
4 → 133
Calls
4 calls:
9.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
4.0ms
(- (* x y) (* z t))
5.0ms
(/ 1 (- (* x y) (* z t)))
9.0ms
(* a (/ 1 (- (* x y) (* z t))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
45.0ms
(- (* x y) (* z t))
33.0ms
(/ 1 (- (* x y) (* z t)))
46.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify56.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0414934
11798779
25002738

prune277.0ms

Filtered
145 candidates to 82 candidates (56.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1441145
Fresh279
Picked011
Done022
Total14611157

Merged error: 6.4b

Counts
157 → 11

regimes382.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample676.0ms

Algorithm
intervals
Results
333.0ms11107×body80valid