Details

Time bar (total: 4.4s)

sample30.0ms

Algorithm
intervals
Results
11.0ms372×body80valid

simplify41.0ms

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: 2.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.4b
(/ y (* z 3.0))
5.8b
(/ t (* (* z 3.0) y))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
71.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
7.0ms
(/ y (* z 3.0))
16.0ms
(/ t (* (* z 3.0) y))

series125.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
17.0ms
(/ y (* z 3.0))
25.0ms
(/ t (* (* z 3.0) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0405532
12039469
25001469

prune189.0ms

Pruning

8 alts after pruning (8 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))
0.4b
(/ y (* z 3.0))
7.2b
(/ (/ t (* z 3.0)) y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
16.0ms
(/ (/ t (* z 3.0)) y)

series129.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
17.0ms
(/ t (* z 3.0))
17.0ms
(/ y (* z 3.0))
28.0ms
(/ (/ t (* z 3.0)) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0482721
11906657
25002657

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
0.1b
(/ (/ t z) 3.0)
0.4b
(/ y (* z 3.0))
7.2b
(/ (/ (/ t z) 3.0) y)

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
237×*-un-lft-identity
232×add-sqr-sqrt add-cube-cbrt
59×associate-/l*
23×add-exp-log add-cbrt-cube div-inv
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add sum-log associate-/l/ distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
4 → 302
Calls
4 calls:
118.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
11.0ms
(/ (/ t z) 3.0)
7.0ms
(/ y (* z 3.0))
25.0ms
(/ (/ (/ t z) 3.0) y)

series128.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
17.0ms
(/ (/ t z) 3.0)
17.0ms
(/ y (* z 3.0))
26.0ms
(/ (/ (/ t z) 3.0) y)

simplify108.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012812639
148052558
250022558

prune907.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ (/ 1 3.0) y)))
0.4b
(/ (/ 1 3.0) y)
0.4b
(/ y (* z 3.0))
7.2b
(* (/ t z) (/ (/ 1 3.0) y))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
118×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
53×add-exp-log
43×associate-*r*
35×add-cbrt-cube
25×div-exp
16×associate-/l*
14×cbrt-undiv
13×associate-*l*
11×prod-exp div-inv
9×add-log-exp
8×unswap-sqr
7×cbrt-unprod
6×pow1 frac-add
4×associate-/r*
3×frac-times rec-exp flip3-- 1-exp associate-*r/ associate-*l/ flip--
2×associate-+l+ frac-2neg clear-num sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ associate-/l/
Counts
4 → 206
Calls
4 calls:
63.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ (/ 1 3.0) y)))
11.0ms
(/ (/ 1 3.0) y)
7.0ms
(/ y (* z 3.0))
41.0ms
(* (/ t z) (/ (/ 1 3.0) y))

series129.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ (/ 1 3.0) y)))
16.0ms
(/ (/ 1 3.0) y)
17.0ms
(/ y (* z 3.0))
30.0ms
(* (/ t z) (/ (/ 1 3.0) y))

simplify101.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010411549
147521387
250021309

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes130.0ms

Accuracy

81.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.9b

bsearch85.0ms

Steps
ItersRangePoint
7
108.91027781997802
3974.013529084827
1313.6636869125539
8
-2.123435313099661e-25
-8.07388626671398e-29
-7.686463608781792e-26

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04125
14125

end0.0ms

sample913.0ms

Algorithm
intervals
Results
543.0ms11077×body80valid