Details

Time bar (total: 3.0s)

sample25.0ms

Algorithm
intervals
Results
10.0ms361×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: 8.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.5b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

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:
42.0ms
(- (* x y) (* z t))
55.0ms
(/ (- (* x y) (* z t)) a)

simplify99.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune160.0ms

Filtered
54 candidates to 43 candidates (79.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New431154
Fresh000
Picked101
Done000
Total441155

Merged error: 7.6b

Counts
55 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (- (* z t)))
7.5b
(/ (fma x y (- (* z t))) a)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma x y (- (* z t)))
3.0ms
(/ (fma x y (- (* z t))) a)

series115.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(fma x y (- (* z t)))
59.0ms
(/ (fma x y (- (* z t))) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0113283
1323257
21205257
35002256

prune123.0ms

Filtered
45 candidates to 36 candidates (80.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New45045
Fresh01010
Picked011
Done000
Total451156

Merged error: 7.6b

Counts
56 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.6b
(* (- (* 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
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))

series95.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x y) (* z t))
54.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify46.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292413
11156361
25001342

prune149.0ms

Filtered
64 candidates to 45 candidates (70.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh279
Picked011
Done011
Total641175

Merged error: 7.6b

Counts
75 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.8b
(/ 1 (/ a (- (* x y) (* z t))))
7.5b
(/ a (- (* x y) (* z t)))

rewrite22.0ms

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))
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* x y) (* z t))
91.0ms
(/ 1 (/ a (- (* x y) (* z t))))
38.0ms
(/ a (- (* x y) (* z t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04431267
118961141
250011049

prune225.0ms

Filtered
142 candidates to 81 candidates (57.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1393142
Fresh178
Picked011
Done022
Total14013153

Merged error: 7.6b

Counts
153 → 13

regimes525.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1164
2164

end0.0ms

sample908.0ms

Algorithm
intervals
Results
581.0ms11207×body80valid