Details

Time bar (total: 7.9s)

sample31.0ms

Algorithm
intervals
Results
21.0ms359×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2001
91929
8769
7500
6391
5317
4249
3162
275
127
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
39.0ms
(* (* z z) (+ z 1.0))
33.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (* z z) (+ z 1.0))
85.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify373.0ms

Counts
63 → 63
Iterations
IterNodes
done2001
1380
0118

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.4b
(/ x (* z z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 116
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.0ms
(/ x (* z z))

series167.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (+ z 1.0))
81.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
33.0ms
(/ x (* z z))

simplify485.0ms

Counts
125 → 125
Iterations
IterNodes
done2000
1555
0189

prune489.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
2.1b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 158
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
32.0ms
(* (/ x z) (/ y (+ z 1.0)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (+ z 1.0))
69.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
68.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify586.0ms

Counts
167 → 167
Iterations
IterNodes
done2000
1780
0266

prune466.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
2.1b
(* (/ 1 z) (* (/ y (+ z 1.0)) (/ x z)))
3.4b
(* (/ y (+ z 1.0)) (/ x z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp associate-*l*
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 158
Calls
3 calls:
16.0ms
(/ y (+ z 1.0))
35.0ms
(* (/ 1 z) (* (/ y (+ z 1.0)) (/ x z)))
24.0ms
(* (/ y (+ z 1.0)) (/ x z))

series188.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ 1 z) (* (/ y (+ z 1.0)) (/ x z)))
62.0ms
(* (/ y (+ z 1.0)) (/ x z))

simplify561.0ms

Counts
167 → 167
Iterations
IterNodes
done2000
1810
0274

prune492.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes151.0ms

Accuracy

-27.8% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.6b

bsearch109.0ms

Steps
ItersRangePoint
8
1.924195059532033e+78
5.5829779752847615e+81
1.0537074098609829e+80
9
3.770430910145087e-191
5.5630417516002174e-185
4.913726010820968e-185

simplify4.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10773×body80valid