Details

Time bar (total: 18.1s)

sample57.0ms

Algorithm
intervals
Results
40.0ms317×body80valid

simplify106.0ms

Counts
1 → 1
Iterations
IterNodes
done114
9114
8111
7105
691
579
462
341
225
115
010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*l* associate-*r/ insert-posit16 log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 930
Calls
3 calls:
12.0ms
(/ t (- 1.0 z))
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series178.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ t (- 1.0 z))
48.0ms
(- (/ y z) (/ t (- 1.0 z)))
85.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.3s

Counts
939 → 939
Iterations
IterNodes
done2003
11781
01012

prune4.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.9b
(* (fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z))) x)
4.5b
(* (- (/ y z) (/ t (- 1.0 z))) x)
26.5b
(fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
409×times-frac
385×add-sqr-sqrt
379×*-un-lft-identity
279×add-cube-cbrt
273×prod-diff
47×distribute-lft-out-- difference-of-squares
35×div-inv
26×associate-/r/
15×flip3-- flip--
13×fma-neg associate-*l*
8×pow1 add-cbrt-cube add-exp-log
6×associate-*r* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*l/
2×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod unswap-sqr
1×sub-neg diff-log fma-udef
Counts
4 → 372
Calls
4 calls:
23.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(* (fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z))) x)
67.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)
0.0ms
(fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z)))

series2.4s

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
2.2s
(* (fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z))) x)
45.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)
73.0ms
(fma (/ -1 (- 1.0 z)) t (/ t (- 1.0 z)))

simplify615.0ms

Counts
384 → 384
Iterations
IterNodes
done2001
11148
0509

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.5b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Counts
3 → 74
Calls
3 calls:
18.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
10.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series206.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ t (- 1.0 z))
74.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
81.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify526.0ms

Counts
83 → 83
Iterations
IterNodes
done2003
2964
1321
0147

prune723.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
4.9b
(/ (* x y) z)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×clear-num frac-2neg prod-exp associate-*r/ cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 sum-log flip3-+ unsub-neg pow-prod-down frac-add *-commutative flip-+ unswap-sqr
Counts
4 → 154
Calls
4 calls:
8.0ms
(/ t (- 1.0 z))
13.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
52.0ms
(* x (- (/ t (- 1.0 z))))
23.0ms
(/ (* x y) z)

series272.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ t (- 1.0 z))
107.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
73.0ms
(* x (- (/ t (- 1.0 z))))
25.0ms
(/ (* x y) z)

simplify697.0ms

Counts
166 → 166
Iterations
IterNodes
done2001
1703
0266

prune728.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes400.0ms

Accuracy

11.6% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 5.9b

bsearch21.0ms

Steps
ItersRangePoint
3
-5.378629197162071e-298
-3.6805234087195684e-298
-5.033586041953549e-298

simplify7.0ms

Iterations
IterNodes
done37
337
236
132
023

end0.0ms

sample1.3s

Algorithm
intervals
Results
948.0ms10093×body80valid