Details

Time bar (total: 4.5s)

sample27.0ms

Algorithm
intervals
Results
12.0ms341×body80valid

simplify74.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
5.5b
(/ t (* (* z 3.0) y))

rewrite68.0ms

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
pow1 add-log-exp
prod-exp cbrt-unprod
associate-/l*
cbrt-undiv fma-def div-exp div-inv
expm1-log1p-u log1p-expm1-u
associate-*r* pow-prod-down
frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
42.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(/ y (* z 3.0))
7.0ms
(* (* z 3.0) y)
7.0ms
(/ t (* (* z 3.0) y))

series183.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
23.0ms
(/ y (* z 3.0))
30.0ms
(* (* z 3.0) y)
35.0ms
(/ t (* (* z 3.0) y))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0500905
12477746
25001698

prune409.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (pow (* 3.0 (* z y)) 1)))
0.2b
(/ y (* z 3.0))
0.3b
(* 3.0 (* z y))
5.5b
(/ t (pow (* 3.0 (* z y)) 1))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
33×add-sqr-sqrt
31×add-cube-cbrt
27×times-frac
26×add-exp-log
23×associate-+l+
21×prod-diff
16×add-cbrt-cube
pow1 add-log-exp
div-exp prod-exp
associate-/r* associate-/l*
fma-def div-inv
expm1-log1p-u unpow-prod-down cbrt-unprod log1p-expm1-u sqr-pow
cbrt-undiv associate-*l* pow-prod-down pow-exp
frac-2neg frac-add clear-num sum-log distribute-lft-out distribute-lft-out--
+-commutative pow-to-exp associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 131
Calls
4 calls:
53.0ms
(+ (- x (/ y (* z 3.0))) (/ t (pow (* 3.0 (* z y)) 1)))
3.0ms
(/ y (* z 3.0))
6.0ms
(* 3.0 (* z y))
4.0ms
(/ t (pow (* 3.0 (* z y)) 1))

series185.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (- x (/ y (* z 3.0))) (/ t (pow (* 3.0 (* z y)) 1)))
23.0ms
(/ y (* z 3.0))
31.0ms
(* 3.0 (* z y))
36.0ms
(/ t (pow (* 3.0 (* z y)) 1))

simplify89.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05361106
12453936
25001862

prune654.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (* z 3.0))
0.4b
(/ 3.0 (/ t (* z y)))
1.0b
(/ 1 (/ 3.0 (/ t (* z y))))
5.4b
(/ t (* z y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
107×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×add-exp-log
37×add-cbrt-cube
35×associate-/r*
32×div-exp
24×div-inv
18×cbrt-undiv
12×associate-/l*
prod-exp associate-/r/
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
pow-flip inv-pow
Counts
4 → 234
Calls
4 calls:
3.0ms
(/ y (* z 3.0))
5.0ms
(/ 3.0 (/ t (* z y)))
13.0ms
(/ 1 (/ 3.0 (/ t (* z y))))
3.0ms
(/ t (* z y))

series121.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ y (* z 3.0))
33.0ms
(/ 3.0 (/ t (* z y)))
39.0ms
(/ 1 (/ 3.0 (/ t (* z y))))
25.0ms
(/ t (* z y))

simplify117.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08071723
142151498
250021368

prune557.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (* 1 (/ (/ t (* z y)) 3.0)))
0.2b
(/ y (* z 3.0))
0.4b
(/ (/ t (* z y)) 3.0)
5.4b
(/ t (* z y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
43×*-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
cbrt-undiv div-exp add-log-exp
fma-def associate-/r*
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg prod-exp clear-num cbrt-unprod
associate-*r/ frac-add sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
39.0ms
(+ (- x (/ y (* z 3.0))) (* 1 (/ (/ t (* z y)) 3.0)))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z y)) 3.0)
3.0ms
(/ t (* z y))

series150.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (* 1 (/ (/ t (* z y)) 3.0)))
23.0ms
(/ y (* z 3.0))
29.0ms
(/ (/ t (* z y)) 3.0)
21.0ms
(/ t (* z y))

simplify93.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06251112
12716943
25001895

prune489.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes165.0ms

Accuracy

74.1% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.6b

bsearch103.0ms

Steps
ItersRangePoint
8
1.0478427114393142e+48
5.283842533261271e+50
8.579695811975395e+48
7
-1.8511684213458392e+141
-1.0827904236495682e+140
-1.2385362032477799e+141

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04023
14223
24223

end0.0ms

sample676.0ms

Algorithm
intervals
Results
387.0ms11087×body80valid