Details

Time bar (total: 14.6s)

sample75.0ms

Algorithm
intervals
Results
36.0ms467×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
17.8b
(/ (* z z) (* t t))

rewrite30.0ms

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:
1.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
27.0ms
(/ (* z z) (* t t))

series244.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
61.0ms
(/ (* z z) (* t t))

simplify1.5s

Counts
39 → 39
Iterations

Useful iterations: done (1.5s)

IterNodesCost
066517
1193509
21662387
done5002379

prune244.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

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)))

series494.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(hypot (/ x y) (/ z t))
127.0ms
(hypot (/ x y) (/ z t))
214.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

simplify917.0ms

Counts
58 → 58
Iterations

Useful iterations: done (914.0ms)

IterNodesCost
050831
1134748
2667632
done5001575

prune508.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (hypot (/ x y) (/ z t)))
0.5b
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
1.3b
(sqrt (hypot (/ x y) (/ z t)))
1.3b
(sqrt (hypot (/ x y) (/ z t)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
31×add-sqr-sqrt
24×sqrt-prod
22×sqrt-pow1 pow1/2
19×pow-prod-up
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*r*
7×pow-plus associate-*l* pow-sqr
6×pow-prod-down
5×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 rem-square-sqrt
Counts
4 → 116
Calls
4 calls:
78.0ms
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (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)))
3.0ms
(sqrt (hypot (/ x y) (/ z t)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))) (hypot (/ x y) (/ z t)))
152.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
144.0ms
(sqrt (hypot (/ x y) (/ z t)))
159.0ms
(sqrt (hypot (/ x y) (/ z t)))

simplify2.9s

Counts
128 → 128
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0992319
12591465
217561223
done50011157

prune654.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
1.3b
(sqrt (hypot (/ x y) (/ z t)))
1.3b
(sqrt (hypot (/ x y) (/ z t)))
7.1b
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
6.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
2.0ms
(sqrt (hypot (/ x y) (/ z t)))
2.0ms
(sqrt (hypot (/ x y) (/ z t)))
6.0ms
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

series584.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 3)
113.0ms
(sqrt (hypot (/ x y) (/ z t)))
122.0ms
(sqrt (hypot (/ x y) (/ z t)))
122.0ms
(cbrt (pow (sqrt (hypot (/ x y) (/ z t))) 3))

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
0821494
12001170
29951055
done50001055

prune553.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes819.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01541
11741
done1741

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.8s15459×body80valid