Details

Time bar (total: 3.0s)

sample28.0ms

Algorithm
intervals
Results
14.0ms360×body80valid

simplify16.0ms

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: 7.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.7b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
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:
4.0ms
(- (* x y) (* z t))
6.0ms
(/ (- (* x y) (* z t)) a)

series97.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
52.0ms
(/ (- (* x y) (* z t)) a)

simplify102.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (97.0ms)

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: 6.7b

Counts
55 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(/ 1 (/ a (- (* x y) (* z t))))
6.7b
(/ a (- (* x y) (* z t)))

rewrite24.0ms

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
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
4.0ms
(- (* x y) (* z t))
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
6.0ms
(/ a (- (* x y) (* z t)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (* x y) (* z t))
86.0ms
(/ 1 (/ a (- (* x y) (* z t))))
41.0ms
(/ a (- (* x y) (* z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04431267
118961141
250011049

prune293.0ms

Filtered
142 candidates to 81 candidates (57.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1357142
Fresh549
Picked101
Done011
Total14112153

Merged error: 6.7b

Counts
153 → 12

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite16.0ms

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
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
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))

series97.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x y) (* z t))
55.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify47.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0292413
11156361
25001342

prune174.0ms

Filtered
64 candidates to 45 candidates (70.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh2810
Picked101
Done011
Total651176

Merged error: 6.7b

Counts
76 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
1.2b
(/ 1 (- (* x y) (* z t)))
5.6b
(* a (/ 1 (- (* x y) (* z t))))

rewrite38.0ms

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
cbrt-undiv associate-/r/ associate-/l* add-log-exp
expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u
flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
sub-neg fma-neg diff-log prod-diff *-commutative
Counts
4 → 133
Calls
4 calls:
4.0ms
(- (* x y) (* z t))
10.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
6.0ms
(/ 1 (- (* x y) (* z t)))
14.0ms
(* a (/ 1 (- (* x y) (* z t))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x y) (* z t))
87.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
33.0ms
(/ 1 (- (* x y) (* z t)))
43.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0414934
11808779
25002738

prune271.0ms

Filtered
145 candidates to 81 candidates (55.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh099
Picked011
Done011
Total14511156

Merged error: 6.7b

Counts
156 → 11

regimes403.0ms

Accuracy

0% (0.3b remaining)

Error of 7.2b against oracle of 6.9b and baseline of 7.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample683.0ms

Algorithm
intervals
Results
347.0ms11227×body80valid