Details

Time bar (total: 33.9s)

sample41.0ms

Algorithm
intervals
Results
25.0ms320×body80valid

simplify99.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.5b
(* (/ x y) z)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
29.0ms
(/ (+ x 4) y)
78.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
11.0ms
(* (/ x y) z)

series127.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x 4) y)
53.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
done2004
32004
21456
1416
0168

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
0.0b
(- (/ 4 y) (/ z (/ y x)))
2.5b
(/ z (/ y x))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
2615×times-frac
1606×add-sqr-sqrt
1602×*-un-lft-identity
1585×add-cube-cbrt
1144×prod-diff
574×associate-+r+
199×div-inv
27×associate-/r/
13×associate-/r* fma-def fma-neg
10×add-log-exp
8×add-cbrt-cube add-exp-log
6×difference-of-squares
4×distribute-lft-out--
3×expm1-log1p-u pow1 cbrt-undiv div-exp frac-add insert-posit16 log1p-expm1-u distribute-lft-out associate-/l*
2×sum-log sub-neg flip3-- diff-log frac-sub flip--
1×+-commutative clear-num associate-+r- frac-2neg flip3-+ flip-+
Counts
3 → 1291
Calls
3 calls:
57.0ms
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
23.0ms
(- (/ 4 y) (/ z (/ y x)))
14.0ms
(/ z (/ y x))

series120.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
40.0ms
(- (/ 4 y) (/ z (/ y x)))
27.0ms
(/ z (/ y x))

simplify2.1s

Counts
1300 → 1300
Iterations
IterNodes
done2000
12000
01572

prune20.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4) (* x z))
3.6b
(/ (- (+ x 4) (* x z)) y)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube fma-neg prod-diff add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- diff-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 58
Calls
2 calls:
49.0ms
(- (+ x 4) (* x z))
80.0ms
(/ (- (+ x 4) (* x z)) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (+ x 4) (* x z))
69.0ms
(/ (- (+ x 4) (* x z)) y)

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
done2002
32002
2773
1239
099

prune670.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (+ x 4) (* x z))) y)
0.1b
(* (/ (sqrt (- (+ x 4) (* x z))) 1) (/ (sqrt (- (+ x 4) (* x z))) y))
2.2b
(sqrt (- (+ x 4) (* x z)))
2.2b
(sqrt (- (+ x 4) (* x z)))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
23×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
8×pow1 div-exp
6×sqrt-div prod-exp associate-/l*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* flip3-- div-inv flip--
2×rem-sqrt-square sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 164
Calls
4 calls:
44.0ms
(/ (sqrt (- (+ x 4) (* x z))) y)
164.0ms
(* (/ (sqrt (- (+ x 4) (* x z))) 1) (/ (sqrt (- (+ x 4) (* x z))) y))
40.0ms
(sqrt (- (+ x 4) (* x z)))
43.0ms
(sqrt (- (+ x 4) (* x z)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(/ (sqrt (- (+ x 4) (* x z))) y)
82.0ms
(* (/ (sqrt (- (+ x 4) (* x z))) 1) (/ (sqrt (- (+ x 4) (* x z))) y))
71.0ms
(sqrt (- (+ x 4) (* x z)))
64.0ms
(sqrt (- (+ x 4) (* x z)))

simplify1.3s

Counts
176 → 176
Iterations
IterNodes
done2005
32005
21579
1635
0219

prune2.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes320.0ms

Accuracy

84.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.4b

bsearch134.0ms

Steps
ItersRangePoint
6
7.820241798439289e-29
6.5437125772680386e-28
1.8868127395774704e-28
7
-4.284428049170666e+64
-2.1340425119356898e+63
-2.1618774464985056e+63

simplify9.0ms

Iterations
IterNodes
done30
130
026

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10158×body80valid