Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
10.0ms370×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

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:

0.4b
(- (* x y) (* z t))
8.0b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms

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 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series90.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
51.0ms
(/ (- (* x y) (* z t)) a)

simplify81.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204313
1717288
22700288
35001288

prune135.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z t))
8.0b
(/ (pow (- (* x y) (* z t)) 1) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
7×add-exp-log associate-/l*
4×add-cbrt-cube add-log-exp sqr-pow
3×div-exp associate-/r*
2×pow1
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num flip-- div-inv
Counts
2 → 57
Calls
2 calls:
2.0ms
(- (* x y) (* z t))
11.0ms
(/ (pow (- (* x y) (* z t)) 1) a)

series89.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x y) (* z t))
51.0ms
(/ (pow (- (* x y) (* z t)) 1) a)

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0233492
1813448
25001441

prune150.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (pow 1 1) (/ a (- (* x y) (* z t))))
0.4b
(- (* x y) (* z t))
8.0b
(/ a (- (* x y) (* z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
99×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×unpow-prod-down
21×add-exp-log
19×associate-/r/
18×associate-/r*
16×sqr-pow
13×div-exp
10×flip3-- add-cbrt-cube flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv pow-exp
3×pow1
2×pow-to-exp frac-2neg 1-exp clear-num
1×sub-neg diff-log
Counts
3 → 189
Calls
3 calls:
11.0ms
(/ (pow 1 1) (/ a (- (* x y) (* z t))))
2.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (pow 1 1) (/ a (- (* x y) (* z t))))
41.0ms
(- (* x y) (* z t))
37.0ms
(/ a (- (* x y) (* z t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06532049
123521900
250011740

prune277.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* z t))
0.9b
(/ 1 (- (* x y) (* z t)))
7.4b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite45.0ms

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*
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
2.0ms
(- (* x y) (* z t))
5.0ms
(/ 1 (- (* x y) (* z t)))
15.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series149.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x y) (* z t))
33.0ms
(/ 1 (- (* x y) (* z t)))
77.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify70.0ms

Algorithm
egg-herbie
Counts
309 → 309
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013574159
150023587

prune672.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.2b

regimes377.0ms

Accuracy

0% (0.4b remaining)

Error of 7.6b against oracle of 7.2b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165
1165

end0.0ms

sample651.0ms

Algorithm
intervals
Results
308.0ms11220×body80valid