Details

Time bar (total: 23.4s)

sample40.0ms

Algorithm
intervals
Results
24.0ms317×body80valid

simplify175.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

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:
43.0ms
(- (/ y z) (/ t (- 1.0 z)))
20.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series219.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (/ y z) (/ t (- 1.0 z)))
70.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify5.0s

Counts
939 → 939
Iterations
IterNodes
done5000
24554
11781
01012

prune4.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.7b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite31.0ms

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))))
13.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series238.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ t (- 1.0 z))
72.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
100.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify2.1s

Counts
83 → 83
Iterations
IterNodes
done5008
33547
2964
1321
0147

prune449.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.8b
(* x (- (/ t (- 1.0 z))))
6.6b
(/ x (/ z y))

rewrite90.0ms

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:
27.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
7.0ms
(/ t (- 1.0 z))
37.0ms
(* x (- (/ t (- 1.0 z))))
11.0ms
(/ x (/ z y))

series315.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
43.0ms
(/ t (- 1.0 z))
109.0ms
(* x (- (/ t (- 1.0 z))))
46.0ms
(/ x (/ z y))

simplify1.8s

Counts
253 → 253
Iterations
IterNodes
done5000
23250
1951
0366

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
1.3b
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
2.8b
(* x (- (/ t (- 1.0 z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
46×associate-*r*
42×add-sqr-sqrt
40×*-un-lft-identity
37×times-frac
28×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
18×cbrt-undiv div-exp
14×prod-exp cbrt-unprod
6×cbrt-prod pow1 distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/r/ div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l*
2×flip3-- pow1/3 flip--
1×clear-num neg-mul-1 frac-2neg pow-prod-down associate-*r/ *-commutative distribute-rgt-neg-out distribute-neg-frac associate-/l* unswap-sqr
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
32.0ms
(* x (- (/ t (- 1.0 z))))

series767.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt y)
238.0ms
(cbrt y)
178.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
98.0ms
(* x (- (/ t (- 1.0 z))))

simplify2.3s

Counts
151 → 151
Iterations
IterNodes
done5015
23045
1827
0292

prune960.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes574.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 1.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done30
330
229
125
020

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s10007×body80valid