Details

Time bar (total: 14.5s)

sample77.0ms

Algorithm
intervals
Results
21.0ms31×body1280valid
16.0ms168×body80valid
16.0ms32×body640valid
7.0ms18×body320valid
2.0ms7×body160valid

simplify251.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3369
4429
5519
6619
7719
8859
91019
101149
111179
done1179

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
65.0ms
(- (+ x (cos y)) (* z (sin y)))
19.0ms
(* z (sin y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (+ x (cos y)) (* z (sin y)))
42.0ms
(* z (sin y))

simplify1.4s

Counts
38 → 38
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
069365
1157346
2428320
31527320
done5000320

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
36.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series813.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
217.0ms
(cbrt (* z (sin y)))
190.0ms
(cbrt (* z (sin y)))
176.0ms
(cbrt (* z (sin y)))

simplify3.5s

Counts
70 → 70
Iterations

Useful iterations: done (3.5s)

IterNodesCost
087790
1189713
2460629
31192540
43815482
done5001448

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series836.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt z)
143.0ms
(cbrt (sin y))
240.0ms
(cbrt (* z (sin y)))
153.0ms
(cbrt (* z (sin y)))

simplify1.9s

Counts
52 → 52
Iterations

Useful iterations: done (1.8s)

IterNodesCost
081383
1161371
2328334
3775298
42458284
done5001281

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
4.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
21.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (* z (sin y)))
173.0ms
(cbrt (* z (sin y)))
145.0ms
(cbrt (* z (sin y)))
192.0ms
(cbrt (* z (sin y)))

simplify3.4s

Counts
48 → 48
Iterations

Useful iterations: done (3.4s)

IterNodesCost
041452
179448
2150404
3366352
41072316
53554316
done5001312

prune359.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes3.0ms