Details

Time bar (total: 4.8s)

sample28.0ms

Algorithm
intervals
Results
11.0ms372×body80valid

simplify51.0ms

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))

rewrite138.0ms

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:
86.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
8.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* (* z 3.0) y))

series130.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
17.0ms
(/ y (* z 3.0))
27.0ms
(/ t (* (* z 3.0) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0500905
12477746
25001698

prune311.0ms

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)

rewrite125.0ms

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:
89.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series130.0ms

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))
28.0ms
(/ (/ t (* z 3.0)) y)

simplify68.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05771093
12337935
25001887

prune395.0ms

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)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
253×*-un-lft-identity
248×add-sqr-sqrt
246×add-cube-cbrt
59×associate-/l*
26×div-inv
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
5×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×frac-add sum-log associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 336
Calls
4 calls:
134.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
14.0ms
(/ (/ t z) 3.0)
8.0ms
(/ y (* z 3.0))
24.0ms
(/ (/ (/ t z) 3.0) y)

series135.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
17.0ms
(/ (/ t z) 3.0)
23.0ms
(/ y (* z 3.0))
26.0ms
(/ (/ (/ t z) 3.0) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013763011
150012838

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
176×times-frac
134×add-sqr-sqrt
108×*-un-lft-identity
104×add-cube-cbrt
53×add-exp-log
43×associate-*r*
35×add-cbrt-cube
25×div-exp
23×associate-+l+
21×prod-diff
16×associate-/l*
14×cbrt-undiv div-inv
13×associate-*l*
11×prod-exp
9×add-log-exp
8×unswap-sqr
7×cbrt-unprod
6×pow1 frac-add
5×fma-def
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×frac-times rec-exp flip3-- 1-exp associate-*r/ associate-*l/ flip--
2×frac-2neg clear-num sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 240
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ (/ 1 3.0) y)))
12.0ms
(/ (/ 1 3.0) y)
9.0ms
(/ y (* z 3.0))
40.0ms
(* (/ t z) (/ (/ 1 3.0) y))

series136.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t z) (/ (/ 1 3.0) y)))
16.0ms
(/ (/ 1 3.0) y)
17.0ms
(/ y (* z 3.0))
32.0ms
(* (/ t z) (/ (/ 1 3.0) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011361940
150011656

prune644.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes157.0ms

Accuracy

82.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03517
13517

end0.0ms

sample726.0ms

Algorithm
intervals
Results
354.0ms11077×body80valid