Details

Time bar (total: 21.0s)

sample62.0ms

Algorithm
intervals
Results
27.0ms505×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
20.6b
(/ (* z z) (* t t))

rewrite24.0ms

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)))
22.0ms
(/ (* z z) (* t t))

series182.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
34.0ms
(/ (* z z) (* t t))

simplify4.8s

Counts
39 → 39
Iterations

Useful iterations: done (4.8s)

IterNodesCost
066517
1153509
2520379
32009364
done5000354

prune153.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)))

rewrite10.0ms

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))
8.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

series407.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(hypot (/ x y) (/ z t))
125.0ms
(hypot (/ x y) (/ z t))
178.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

simplify1.8s

Counts
58 → 58
Iterations

Useful iterations: done (1.8s)

IterNodesCost
050831
1104748
2253629
3654547
41823538
done5000508

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
0.4b
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
2.7b
(sqrt (hypot (/ x y) (/ z t)))
2.7b
(sqrt (hypot (/ x y) (/ z t)))

rewrite70.0ms

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:
14.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
43.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
3.0ms
(sqrt (hypot (/ x y) (/ z t)))
6.0ms
(sqrt (hypot (/ x y) (/ z t)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
167.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
122.0ms
(sqrt (hypot (/ x y) (/ z t)))
137.0ms
(sqrt (hypot (/ x y) (/ z t)))

simplify3.4s

Counts
122 → 122
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0992276
11851398
24341133
313161100
done50001078

prune410.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (hypot (/ x y) (/ z t)) (pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2)))
0.7b
(pow (sqrt (hypot (/ x y) (/ z t))) 4)
2.7b
(sqrt (hypot (/ x y) (/ z t)))
6.9b
(pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
44×unpow-prod-down
34×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
16×pow-unpow
15×add-exp-log
14×associate-*r*
13×sqrt-prod
9×times-frac pow-exp
7×pow1 sqr-pow
6×add-cbrt-cube unswap-sqr
5×pow-to-exp prod-exp
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×associate-*l*
2×sqrt-pow1 pow1/2
1×rem-sqrt-square *-commutative sqrt-pow2 cbrt-unprod div-inv
Counts
4 → 117
Calls
4 calls:
67.0ms
(* (hypot (/ x y) (/ z t)) (pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2)))
7.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 4)
3.0ms
(sqrt (hypot (/ x y) (/ z t)))
17.0ms
(pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2))

series1.2s

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (hypot (/ x y) (/ z t)) (pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2)))
425.0ms
(pow (sqrt (hypot (/ x y) (/ z t))) 4)
162.0ms
(sqrt (hypot (/ x y) (/ z t)))
293.0ms
(pow (pow (sqrt (hypot (/ x y) (/ z t))) 4) (/ 1 2))

simplify4.9s

Counts
129 → 129
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01832583
13942132
29511660
341681603
done50001570

prune498.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

IterNodesCost
02036
12534
done2532

end0.0ms

sample1.6s

Algorithm
intervals
Results
812.0ms15522×body80valid