Details

Time bar (total: 4.1s)

sample37.0ms

Algorithm
intervals
Results
23.0ms382×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.1b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
6.1b
(/ t (* (* z 3.0) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
40.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series139.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0500905
12477746
25001698

prune329.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
3.5b
(/ (/ t (* z 3.0)) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
45.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series135.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
17.0ms
(/ y (* z 3.0))
28.0ms
(/ (/ t (* z 3.0)) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05771093
12337935
25001887

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z 3.0) t)
0.2b
(/ y (* z 3.0))
0.4b
(/ 1 (/ (* z 3.0) t))
3.5b
(/ (/ 1 (/ (* z 3.0) t)) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
107×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
67×add-exp-log
38×div-exp
37×add-cbrt-cube
33×associate-/l*
24×div-inv
18×cbrt-undiv
14×associate-/r*
8×prod-exp
6×rec-exp 1-exp
5×pow1 associate-/r/
4×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
4 → 238
Calls
4 calls:
3.0ms
(/ (* z 3.0) t)
3.0ms
(/ y (* z 3.0))
6.0ms
(/ 1 (/ (* z 3.0) t))
13.0ms
(/ (/ 1 (/ (* z 3.0) t)) y)

series84.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z 3.0) t)
18.0ms
(/ y (* z 3.0))
15.0ms
(/ 1 (/ (* z 3.0) t))
33.0ms
(/ (/ 1 (/ (* z 3.0) t)) y)

simplify90.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08481719
139421516
250021374

prune451.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z 3.0) t)
0.2b
(/ (/ y z) 3.0)
0.4b
(/ 1 (/ (* z 3.0) t))
3.5b
(/ (/ 1 (/ (* z 3.0) t)) y)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
147×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
67×add-exp-log
43×associate-/l*
39×div-exp
37×add-cbrt-cube
28×div-inv
19×cbrt-undiv
16×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×pow1 associate-/r/
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×cbrt-unprod
2×associate-/l/
1×pow-flip inv-pow
Counts
4 → 287
Calls
4 calls:
3.0ms
(/ (* z 3.0) t)
9.0ms
(/ (/ y z) 3.0)
6.0ms
(/ 1 (/ (* z 3.0) t))
13.0ms
(/ (/ 1 (/ (* z 3.0) t)) y)

series85.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z 3.0) t)
24.0ms
(/ (/ y z) 3.0)
15.0ms
(/ 1 (/ (* z 3.0) t))
28.0ms
(/ (/ 1 (/ (* z 3.0) t)) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
299 → 299
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010852075
150011874

prune700.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes137.0ms

Accuracy

69.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.8b

bsearch139.0ms

Steps
ItersRangePoint
9
4.765688302395266e-64
3.3093313890471513e-56
3.9085465340847e-60
9
-6.372007893076359e+100
-4.9840987898954554e+94
-5.580369148477273e+94

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05125
15725
25925
36525
46525

end0.0ms

sample915.0ms

Algorithm
intervals
Results
625.0ms11207×body80valid