Details

Time bar (total: 10.3s)

sample60.0ms

Algorithm
intervals
Results
44.0ms430×body80valid

simplify624.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
71273
6494
5259
4162
398
253
122
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ z x) y)
0.2b
(* (/ (+ z x) y) (- x z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
16×associate-*l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×associate-*r*
4×pow1 associate-/l*
3×associate-/r*
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 div-inv flip-- add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 80
Calls
2 calls:
14.0ms
(/ (+ z x) y)
39.0ms
(* (/ (+ z x) y) (- x z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ z x) y)
79.0ms
(* (/ (+ z x) y) (- x z))

simplify700.0ms

Counts
86 → 86
Iterations
IterNodes
done2000
21223
1345
0130

prune313.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z x))
0.2b
(* (/ 1 (/ y (+ z x))) (- x z))
0.6b
(/ 1 (/ y (+ z x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
161×*-un-lft-identity
123×add-sqr-sqrt
107×add-cube-cbrt
59×associate-*l*
35×add-exp-log
25×distribute-lft-out
22×associate-/r*
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-+ flip-+
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×associate-*r* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod insert-posit16 add-log-exp
2×distribute-rgt-in frac-times clear-num sub-neg frac-2neg distribute-lft-in flip3-- associate-*r/ flip--
1×pow-prod-down associate-*l/ *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares
Counts
3 → 229
Calls
3 calls:
12.0ms
(/ y (+ z x))
54.0ms
(* (/ 1 (/ y (+ z x))) (- x z))
17.0ms
(/ 1 (/ y (+ z x)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z x))
93.0ms
(* (/ 1 (/ y (+ z x))) (- x z))
37.0ms
(/ 1 (/ y (+ z x)))

simplify553.0ms

Counts
238 → 238
Iterations
IterNodes
done2000
1801
0284

prune771.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ z x))
0.3b
(/ (- x z) (/ y (+ z x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
9×add-cbrt-cube add-exp-log
8×div-inv associate-/l*
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 166
Calls
2 calls:
7.0ms
(/ y (+ z x))
18.0ms
(/ (- x z) (/ y (+ z x)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (+ z x))
65.0ms
(/ (- x z) (/ y (+ z x)))

simplify558.0ms

Counts
172 → 172
Iterations
IterNodes
done2001
1715
0236

prune563.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z x))
0.2b
(/ (/ y (+ z x)) (- x z))
0.4b
(/ 1 (/ (/ y (+ z x)) (- x z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
1062×times-frac
758×*-un-lft-identity
594×add-sqr-sqrt
412×add-cube-cbrt
105×associate-/r*
91×distribute-lft-out-- difference-of-squares
82×distribute-lft-out
65×associate-/r/
33×div-inv
31×add-exp-log
27×flip3-+ flip-+
24×associate-/l*
19×add-cbrt-cube div-exp
10×cbrt-undiv
5×flip3-- flip--
4×pow1
3×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 578
Calls
3 calls:
7.0ms
(/ y (+ z x))
22.0ms
(/ (/ y (+ z x)) (- x z))
32.0ms
(/ 1 (/ (/ y (+ z x)) (- x z)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z x))
64.0ms
(/ (/ y (+ z x)) (- x z))
77.0ms
(/ 1 (/ (/ y (+ z x)) (- x z)))

simplify1.2s

Counts
587 → 587
Iterations
IterNodes
done2009
11835
0641

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s13758×body80valid