Details

Time bar (total: 14.1s)

sample37.0ms

Algorithm
intervals
Results
10.0ms272×body80valid
10.0ms296×body80nan

simplify193.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1138
2238
3408
4558
5608
6698
7868
81018
91088
101168
done1168

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
41.0ms
(+ (- 1.0 x) (* y (sqrt x)))
19.0ms
(* y (sqrt x))

series108.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (- 1.0 x) (* y (sqrt x)))
54.0ms
(* y (sqrt x))

simplify2.1s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
096442
1240398
2647366
31984353
done5001353

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
24.0ms
(* y (sqrt (sqrt x)))
72.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(sqrt (sqrt x))
216.0ms
(sqrt (sqrt x))
106.0ms
(* y (sqrt (sqrt x)))
46.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.3s

Counts
100 → 100
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0132915
1339716
2962650
32804634
done5000624

prune376.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt x)))
0.2b
(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
0.3b
(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
0.5b
(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite423.0ms

Algorithm
rewrite-expression-head
Rules
186×sqrt-prod
87×add-sqr-sqrt
81×sqrt-pow1
52×pow1
27×add-cube-cbrt *-un-lft-identity pow1/2
24×swap-sqr
22×associate-*r*
20×add-exp-log add-cbrt-cube
17×unswap-sqr
16×associate-*l* pow-prod-down
13×pow-prod-up
10×prod-exp cbrt-unprod
7×pow-sqr
4×add-log-exp
3×rem-sqrt-square *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 176
Calls
4 calls:
7.0ms
(sqrt (sqrt (sqrt x)))
73.0ms
(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
285.0ms
(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
42.0ms
(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series588.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(sqrt (sqrt (sqrt x)))
122.0ms
(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
63.0ms
(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
187.0ms
(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify2.3s

Counts
188 → 188
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02162686
14891271
215531143
done50001121

prune450.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
0.3b
(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log sqrt-prod add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 73
Calls
4 calls:
47.0ms
(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
167.0ms
(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
286.0ms
(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
355.0ms
(cbrt x)
311.0ms
(cbrt x)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01741279
14381111
21589981
done5000957

prune445.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes2.0ms