Details

Time bar (total: 3.3s)

sample31.0ms

Algorithm
intervals
Results
17.0ms376×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
8.0b
(/ (- (* 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:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
53.0ms
(/ (- (* x y) (* z t)) a)

simplify92.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
8.0b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite20.0ms

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:
3.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series91.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
52.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify45.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292413
11156361
25001342

prune148.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(- (* x y) (* z t))
0.5b
(/ 1 (/ a (- (* x y) (* z t))))
7.9b
(/ 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:
3.0ms
(- (* x y) (* z t))
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
8.0ms
(/ a (- (* x y) (* z t)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* x y) (* z t))
81.0ms
(/ 1 (/ a (- (* x y) (* z t))))
37.0ms
(/ a (- (* x y) (* z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04431267
118961141
250011049

prune277.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b
(- (* x y) (* z t))
0.5b
(/ 1 (- (* x y) (* z t)))
7.6b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/r*
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
cbrt-undiv rec-exp 1-exp
add-log-exp
pow1
expm1-log1p-u log1p-expm1-u
frac-2neg clear-num
sub-neg pow-flip fma-neg diff-log prod-diff associate-/l/ inv-pow
Counts
3 → 308
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
6.0ms
(/ 1 (- (* x y) (* z t)))
15.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x y) (* z t))
36.0ms
(/ 1 (- (* x y) (* z t)))
84.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
013734150
150023576

prune539.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 8.1b

regimes364.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample844.0ms

Algorithm
intervals
Results
513.0ms11133×body80valid