Details

Time bar (total: 23.4s)

sample44.0ms

Algorithm
intervals
Results
29.0ms315×body80valid

simplify118.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite186.0ms

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:
15.0ms
(/ t (- 1.0 z))
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
80.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series163.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ t (- 1.0 z))
48.0ms
(- (/ y z) (/ t (- 1.0 z)))
74.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify4.1s

Counts
939 → 939
Iterations
IterNodes
done5000
24561
11781
01012

prune4.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.2b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.1b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite30.0ms

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:
16.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
12.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series242.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ t (- 1.0 z))
90.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
108.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify2.2s

Counts
83 → 83
Iterations
IterNodes
done5008
33547
2964
1321
0147

prune474.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.2b
(* x (- (/ t (- 1.0 z))))
4.7b
(/ x (/ z y))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
133×add-sqr-sqrt
131×*-un-lft-identity
111×add-cube-cbrt
46×associate-*r*
44×fma-def
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/r*
13×add-cbrt-cube add-exp-log div-inv
10×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×flip3-- associate-*l* distribute-rgt-neg-out flip--
2×clear-num frac-2neg associate-*r/ distribute-neg-frac
1×+-commutative neg-mul-1 sum-log flip3-+ unsub-neg pow-prod-down frac-add prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 241
Calls
4 calls:
15.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
10.0ms
(/ t (- 1.0 z))
52.0ms
(* x (- (/ t (- 1.0 z))))
6.0ms
(/ x (/ z y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
61.0ms
(/ t (- 1.0 z))
99.0ms
(* x (- (/ t (- 1.0 z))))
27.0ms
(/ x (/ z y))

simplify2.0s

Counts
253 → 253
Iterations
IterNodes
done5000
23250
1951
0366

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.5b
(/ 1 (/ (/ z y) x))
2.2b
(* x (- (/ t (- 1.0 z))))
4.6b
(/ (/ z y) x)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
513×times-frac
282×add-sqr-sqrt
280×*-un-lft-identity
260×add-cube-cbrt
51×associate-/r*
46×associate-*r*
34×add-exp-log
25×div-inv
22×add-cbrt-cube
21×distribute-lft-neg-in distribute-rgt-neg-in
19×div-exp associate-/l*
10×cbrt-undiv distribute-lft-out-- difference-of-squares
7×pow1 associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg flip3-- 1-exp associate-*l* flip--
1×neg-mul-1 pow-prod-down prod-exp associate-*r/ *-commutative distribute-rgt-neg-out cbrt-unprod pow-flip distribute-neg-frac inv-pow unswap-sqr associate-/l/
Counts
4 → 382
Calls
4 calls:
15.0ms
(/ t (- 1.0 z))
11.0ms
(/ 1 (/ (/ z y) x))
42.0ms
(* x (- (/ t (- 1.0 z))))
14.0ms
(/ (/ z y) x)

series206.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ t (- 1.0 z))
37.0ms
(/ 1 (/ (/ z y) x))
86.0ms
(* x (- (/ t (- 1.0 z))))
23.0ms
(/ (/ z y) x)

simplify2.6s

Counts
394 → 394
Iterations
IterNodes
done5004
24697
11669
0611

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes373.0ms

Accuracy

-1.8% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 4.5b

bsearch92.0ms

Steps
ItersRangePoint
8
1.542649851819534e-86
4.457671268686043e-82
2.036474574005987e-85

simplify13.0ms

Iterations
IterNodes
done35
335
234
130
022

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s10093×body80valid