Details

Time bar (total: 21.5s)

sample128.0ms

Algorithm
intervals
Results
91.0ms232×body10240exit
10.0ms207×body80valid
6.0ms16×body640valid
3.0ms19×body320valid
1.0ms15×body160valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (286.0ms)

IterNodesCost
0816
12015
24815
310515
419014
562112
6258512
done500112

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (exp wj))
0.0b
(/ (- wj (/ x (exp wj))) (+ wj 1))
4.8b
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/l*
7×associate-/r* add-cbrt-cube distribute-lft-out
6×add-exp-log distribute-lft-out--
5×add-log-exp
3×pow1
2×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num associate-/r/ flip-- div-inv associate-/l/
1×sub-neg flip3-+ diff-log flip-+ associate--r-
Counts
3 → 94
Calls
3 calls:
9.0ms
(/ x (exp wj))
54.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
115.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ x (exp wj))
55.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
69.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: 3 (891.0ms)

IterNodesCost
01741576
14091496
29601436
322661431
done50011431

prune414.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* wj (- wj (* 2 x)))
0.0b
(+ x (* wj (- wj (* 2 x))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
37.0ms
(* wj (- wj (* 2 x)))
17.0ms
(+ x (* wj (- wj (* 2 x))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* wj (- wj (* 2 x)))
38.0ms
(+ x (* wj (- wj (* 2 x))))

simplify1.6s

Counts
45 → 45
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
070507
1186473
2543431
32135431
done5000431

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt wj) (cbrt wj))
0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt wj) (cbrt wj))
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)

series1.3s

Counts
4 → 12
Calls
4 calls:
340.0ms
(* (cbrt wj) (cbrt wj))
323.0ms
(cbrt wj)
307.0ms
(cbrt wj)
283.0ms
(cbrt wj)

simplify5.1s

Counts
85 → 85
Iterations

Useful iterations: done (5.1s)

IterNodesCost
061524
1115417
2319397
31092379
44423374
done5000364

prune296.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* wj wj)) (* (cbrt wj) (- wj (* 2 x))))
0.3b
(* (cbrt wj) (- wj (* 2 x)))
0.7b
(cbrt wj)
30.9b
(cbrt (* wj wj))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log
10×distribute-rgt-in distribute-lft-in associate-*l*
9×cbrt-prod add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×sub-neg associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
46.0ms
(* (cbrt (* wj wj)) (* (cbrt wj) (- wj (* 2 x))))
32.0ms
(* (cbrt wj) (- wj (* 2 x)))
2.0ms
(cbrt wj)
9.0ms
(cbrt (* wj wj))

series954.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (cbrt (* wj wj)) (* (cbrt wj) (- wj (* 2 x))))
224.0ms
(* (cbrt wj) (- wj (* 2 x)))
295.0ms
(cbrt wj)
340.0ms
(cbrt (* wj wj))

simplify4.6s

Counts
89 → 89
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01271045
1308997
21061903
34938879
done5000879

prune377.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes4.0ms