Details

Time bar (total: 13.7s)

sample74.0ms

Algorithm
intervals
Results
35.0ms488×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.6b

localize43.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
18.9b
(/ (* z z) (* t t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
29.0ms
(/ (* z z) (* t t))

series198.0ms

Counts
2 → 6
Calls
2 calls:
162.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
36.0ms
(/ (* z z) (* t t))

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: done (1.3s)

IterNodesCost
066517
1193509
21662387
done5002379

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
34.0ms
(* (/ z t) (/ z t))

series237.0ms

Counts
2 → 6
Calls
2 calls:
177.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
60.0ms
(* (/ z t) (/ z t))

simplify2.5s

Counts
85 → 85
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01291098
14251016
22903884
done5001836

prune335.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ x y) (/ z t))
0.0b
(hypot (/ x y) (/ z t))
0.4b
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×hypot-udef
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(hypot (/ x y) (/ z t))
0.0ms
(hypot (/ x y) (/ z t))
13.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

series582.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(hypot (/ x y) (/ z t))
172.0ms
(hypot (/ x y) (/ z t))
240.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

simplify777.0ms

Counts
58 → 58
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
050831
1134748
2667632
done5001575

prune323.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
0.5b
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
2.5b
(sqrt (hypot (/ x y) (/ z t)))
2.5b
(sqrt (hypot (/ x y) (/ z t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
38×pow1
31×add-sqr-sqrt
24×sqrt-prod
16×sqrt-pow1 pow1/2
15×add-cube-cbrt *-un-lft-identity pow-prod-up
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*l*
7×associate-*r*
6×pow-prod-down
5×pow-sqr unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 hypot-udef pow-plus rem-square-sqrt
Counts
4 → 110
Calls
4 calls:
41.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
27.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
3.0ms
(sqrt (hypot (/ x y) (/ z t)))
4.0ms
(sqrt (hypot (/ x y) (/ z t)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
102.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
138.0ms
(sqrt (hypot (/ x y) (/ z t)))
161.0ms
(sqrt (hypot (/ x y) (/ z t)))

simplify2.9s

Counts
122 → 122
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0992276
12491452
216961216
done50011147

prune421.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01328
11528
done1528

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s15439×body80valid