Details

Time bar (total: 13.2s)

sample34.0ms

Algorithm
intervals
Results
23.0ms331×body80valid

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
done62
762
660
555
449
342
229
116
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
4.2b
(* (/ x y) z)

rewrite98.0ms

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:
26.0ms
(/ (+ x 4) y)
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
11.0ms
(* (/ x y) z)

series124.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (+ x 4) y)
60.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify1.7s

Counts
129 → 129
Iterations
IterNodes
done5000
21556
1416
0168

prune702.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (/ x (cbrt y)) z)
2.9b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* (/ x (cbrt y)) z)
72.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series762.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt y)
283.0ms
(cbrt y)
169.0ms
(* (/ x (cbrt y)) z)
70.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify1.8s

Counts
139 → 139
Iterations
IterNodes
done5001
21738
1465
0179

prune653.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
11.3b
(cbrt (* (/ x (cbrt y)) z))
11.3b
(cbrt (* (/ x (cbrt y)) z))
11.3b
(cbrt (* (/ x (cbrt y)) z))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
51×prod-exp
38×associate-*l/
27×cbrt-div
22×add-cbrt-cube
21×cbrt-unprod
17×frac-times
13×pow1 associate-*r/
12×div-exp
7×associate-*l*
6×add-sqr-sqrt cbrt-undiv rec-exp *-un-lft-identity 1-exp pow-prod-down add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 106
Calls
4 calls:
172.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
6.0ms
(cbrt (* (/ x (cbrt y)) z))
9.0ms
(cbrt (* (/ x (cbrt y)) z))
9.0ms
(cbrt (* (/ x (cbrt y)) z))

series691.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
212.0ms
(cbrt (* (/ x (cbrt y)) z))
207.0ms
(cbrt (* (/ x (cbrt y)) z))
201.0ms
(cbrt (* (/ x (cbrt y)) z))

simplify1.9s

Counts
118 → 118
Iterations
IterNodes
done5001
21388
1456
0177

prune589.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 4 x) y) (* z (/ x y)))
4.2b
(* z (/ x y))
4.2b
(* z (/ x y))
47.4b
(fma (- z) (/ x y) (* z (/ x y)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
46×add-sqr-sqrt
44×times-frac
36×add-cube-cbrt
26×associate-*r*
16×fma-neg prod-diff
14×add-cbrt-cube add-exp-log
8×pow1
6×associate-*l* distribute-lft-out add-log-exp
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative
1×sub-neg flip3-- diff-log frac-sub fma-udef flip-- sub-div
Counts
4 → 130
Calls
4 calls:
63.0ms
(- (/ (+ 4 x) y) (* z (/ x y)))
18.0ms
(* z (/ x y))
18.0ms
(* z (/ x y))
1.0ms
(fma (- z) (/ x y) (* z (/ x y)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (/ (+ 4 x) y) (* z (/ x y)))
30.0ms
(* z (/ x y))
298.0ms
(* z (/ x y))
49.0ms
(fma (- z) (/ x y) (* z (/ x y)))

simplify967.0ms

Counts
142 → 142
Iterations
IterNodes
done5001
21256
1377
0158

prune723.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s10154×body80valid