Details

Time bar (total: 18.9s)

sample65.0ms

Algorithm
intervals
Results
35.0ms429×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
53×add-sqr-sqrt
46×add-cube-cbrt
36×prod-diff
25×times-frac
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×associate-*l*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×pow1 associate-*r* add-log-exp
4×sub-neg associate-/l*
3×expm1-log1p-u associate-/r* fma-def log1p-expm1-u
2×frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ div-inv flip-- unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 138
Calls
3 calls:
9.0ms
(+ y (* (/ (+ z x) y) (- x z)))
20.0ms
(/ (+ z x) y)
56.0ms
(* (/ (+ z x) y) (- x z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ y (* (/ (+ z x) y) (- x z)))
34.0ms
(/ (+ z x) y)
78.0ms
(* (/ (+ z x) y) (- x z))

simplify2.3s

Counts
147 → 147
Iterations
IterNodes
done5001
23602
1620
0222

prune753.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x z) y)
0.0b
(/ (+ z x) y)
0.1b
(fma (- x z) (/ (+ x z) y) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out associate-/l*
7×add-cbrt-cube add-exp-log
6×associate-/r*
4×associate-/l/
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
1×fma-udef
Counts
3 → 80
Calls
3 calls:
14.0ms
(/ (+ x z) y)
14.0ms
(/ (+ z x) y)
0.0ms
(fma (- x z) (/ (+ x z) y) y)

series137.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x z) y)
28.0ms
(/ (+ z x) y)
75.0ms
(fma (- x z) (/ (+ x z) y) y)

simplify1.0s

Counts
89 → 89
Iterations
IterNodes
done5001
21193
1276
0126

prune676.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ z x) y)
0.1b
(fma (- x z) (* (+ x z) (/ 1 y)) y)
0.3b
(* (+ x z) (/ 1 y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
27×add-sqr-sqrt
23×times-frac
20×add-cube-cbrt
14×add-exp-log
13×associate-*r*
10×add-cbrt-cube
5×pow1 distribute-lft-out
4×associate-*l* prod-exp associate-/l*
3×expm1-log1p-u associate-/r* flip3-+ div-exp flip-+ log1p-expm1-u add-log-exp unswap-sqr
2×frac-times cbrt-undiv associate-*l/ cbrt-unprod div-inv associate-/l/
1×rec-exp clear-num frac-2neg 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef
Counts
3 → 88
Calls
3 calls:
14.0ms
(/ (+ z x) y)
0.0ms
(fma (- x z) (* (+ x z) (/ 1 y)) y)
24.0ms
(* (+ x z) (/ 1 y))

series196.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (+ z x) y)
116.0ms
(fma (- x z) (* (+ x z) (/ 1 y)) y)
39.0ms
(* (+ x z) (/ 1 y))

simplify2.5s

Counts
97 → 97
Iterations
IterNodes
done5000
22385
1397
0159

prune742.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite908.0ms

Algorithm
rewrite-expression-head
Rules
429×times-frac
385×*-un-lft-identity
291×add-sqr-sqrt
282×add-cube-cbrt
176×prod-diff
50×distribute-lft-out
29×associate-/r*
27×div-inv
16×add-cbrt-cube add-exp-log
10×associate-/l*
9×add-log-exp
7×cbrt-undiv div-exp
6×associate-/r/
4×expm1-log1p-u pow1 fma-neg log1p-expm1-u
3×clear-num frac-2neg difference-of-squares
2×flip3-+ diff-log frac-sub flip-+ distribute-lft-out-- associate-/l/
1×sum-log sub-neg flip3-- associate--l+ flip--
Counts
4 → 382
Calls
4 calls:
814.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
22.0ms
(/ (+ z x) y)
14.0ms
(/ x (/ y x))
15.0ms
(/ z (/ y z))

series157.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
30.0ms
(/ (+ z x) y)
33.0ms
(/ x (/ y x))
26.0ms
(/ z (/ y z))

simplify1.6s

Counts
394 → 394
Iterations
IterNodes
done5001
11871
0681

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
227
126
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s13545×body80valid