Details

Time bar (total: 17.2s)

sample65.0ms

Algorithm
intervals
Results
44.0ms320×body80valid

simplify73.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite85.0ms

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:
14.0ms
(/ (+ x 4) y)
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms
(* (/ x y) z)

series146.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (+ x 4) y)
61.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
33.0ms
(* (/ x y) z)

simplify800.0ms

Counts
129 → 129
Iterations
IterNodes
done2001
21456
1416
0168

prune612.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(+ (/ (+ x 4) y) (- (* (/ x y) z)))
2.1b
(* (/ x y) z)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
34×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
16×fma-def
13×associate-*l*
10×add-cbrt-cube add-exp-log
8×distribute-lft-out
7×add-log-exp
5×pow1
4×associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* insert-posit16 log1p-expm1-u div-inv
2×cbrt-undiv sum-log flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ unswap-sqr associate-/l/
1×neg-sub0 +-commutative clear-num associate-+r- frac-2neg unsub-neg pow-prod-down neg-log frac-add *-commutative distribute-neg-frac
Counts
3 → 107
Calls
3 calls:
14.0ms
(/ (+ x 4) y)
30.0ms
(+ (/ (+ x 4) y) (- (* (/ x y) z)))
29.0ms
(* (/ x y) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ x 4) y)
77.0ms
(+ (/ (+ x 4) y) (- (* (/ x y) z)))
44.0ms
(* (/ x y) z)

simplify773.0ms

Counts
116 → 116
Iterations
IterNodes
done2003
21405
1401
0157

prune528.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
0.0b
(- (/ 4 y) (/ z (/ y x)))
2.3b
(/ z (/ y x))

rewrite203.0ms

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:
78.0ms
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
17.0ms
(- (/ 4 y) (/ z (/ y x)))
6.0ms
(/ z (/ y x))

series168.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (/ x y) (- (/ 4 y) (/ z (/ y x))))
72.0ms
(- (/ 4 y) (/ z (/ y x)))
37.0ms
(/ z (/ y x))

simplify2.1s

Counts
1300 → 1300
Iterations
IterNodes
done2000
01572

prune8.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4) (* x z))
2.9b
(/ (- (+ x 4) (* x z)) y)

rewrite110.0ms

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:
45.0ms
(- (+ x 4) (* x z))
64.0ms
(/ (- (+ x 4) (* x z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ x 4) (* x z))
56.0ms
(/ (- (+ x 4) (* x z)) y)

simplify503.0ms

Counts
64 → 64
Iterations
IterNodes
done2002
2773
1239
099

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
222
118
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10060×body80valid