Details

Time bar (total: 18.2s)

sample66.0ms

Algorithm
intervals
Results
49.0ms436×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
71686
6586
5291
4185
3108
257
123
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
324×times-frac
288×*-un-lft-identity
212×add-sqr-sqrt
138×add-cube-cbrt
95×fma-def
38×distribute-lft-out
37×distribute-lft-out-- difference-of-squares
26×associate-/r/
22×associate-/r*
14×div-inv
13×flip3-+ flip-+
10×add-cbrt-cube add-exp-log
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative sum-log flip3-- associate-+l- flip--
Counts
3 → 281
Calls
3 calls:
70.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
11.0ms
(/ y (+ z x))
36.0ms
(/ (- x z) (/ y (+ z x)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
32.0ms
(/ y (+ z x))
66.0ms
(/ (- x z) (/ y (+ z x)))

simplify1.6s

Counts
290 → 290
Iterations
IterNodes
done5003
22863
1803
0264

prune963.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
13.0ms
(/ (- x z) y)
0.0ms
(fma (/ (- x z) y) (+ z x) y)

series119.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- x z) y)
85.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5007
31634
2491
1206
096

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
1734×times-frac
1143×*-un-lft-identity
899×add-sqr-sqrt
669×add-cube-cbrt
347×fma-def
122×distribute-lft-out
115×distribute-lft-out-- difference-of-squares
82×associate-/r/
80×div-inv
41×flip3-+ flip-+
32×add-exp-log
27×associate-/l*
25×associate-/r*
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1 div-sub
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×+-commutative sum-log flip3-- associate-+l- pow-flip flip-- inv-pow
Counts
4 → 851
Calls
4 calls:
70.0ms
(+ (/ (/ (- x z) y) (/ 1 (+ z x))) y)
9.0ms
(/ 1 (+ z x))
17.0ms
(/ (- x z) y)
24.0ms
(/ (/ (- x z) y) (/ 1 (+ z x)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (/ (/ (- x z) y) (/ 1 (+ z x))) y)
51.0ms
(/ 1 (+ z x))
31.0ms
(/ (- x z) y)
100.0ms
(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify1.7s

Counts
863 → 863
Iterations
IterNodes
done5001
11989
0630

prune3.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ (* x x) y) y) (/ (* z z) y))
7.3b
(/ (* z z) y)
9.5b
(/ (* x x) y)

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
28×prod-diff
27×add-sqr-sqrt
23×add-cube-cbrt
19×times-frac
13×add-cbrt-cube add-exp-log
9×distribute-lft-out
8×add-log-exp
6×associate-/r* div-inv
4×cbrt-undiv fma-neg div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg diff-log prod-exp frac-sub cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip--
Counts
3 → 103
Calls
3 calls:
140.0ms
(- (+ (/ (* x x) y) y) (/ (* z z) y))
9.0ms
(/ (* z z) y)
9.0ms
(/ (* x x) y)

series118.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (+ (/ (* x x) y) y) (/ (* z z) y))
22.0ms
(/ (* z z) y)
26.0ms
(/ (* x x) y)

simplify2.3s

Counts
112 → 112
Iterations
IterNodes
done5002
22097
1554
0187

prune417.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s13698×body80valid