Details

Time bar (total: 15.2s)

sample101.0ms

Algorithm
intervals
Results
43.0ms31×body1280valid
18.0ms168×body80valid
15.0ms32×body640valid
7.0ms18×body320valid
2.0ms7×body160valid

simplify280.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3409
4569
5679
6819
7989
81269
91459
101589
111799
done1799

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×add-cube-cbrt
4×pow1 add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u diff-log log1p-expm1-u distribute-lft-out
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
73.0ms
(- (+ x (cos y)) (* z (sin y)))
9.0ms
(* z (sin y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(- (+ x (cos y)) (* z (sin y)))
69.0ms
(* z (sin y))

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: done (2.5s)

IterNodesCost
082511
1180491
2488443
31856432
done5000405

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite54.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
36.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
8.0ms
(cbrt (* z (sin y)))

series742.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
163.0ms
(cbrt (* z (sin y)))
175.0ms
(cbrt (* z (sin y)))
170.0ms
(cbrt (* z (sin y)))

simplify3.0s

Counts
78 → 78
Iterations

Useful iterations: done (3.0s)

IterNodesCost
091850
1194773
2478689
31256593
43964531
done5000494

prune384.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
5.0ms
(cbrt (* z (sin y)))
10.0ms
(cbrt (* z (sin y)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt z)
133.0ms
(cbrt (sin y))
175.0ms
(cbrt (* z (sin y)))
145.0ms
(cbrt (* z (sin y)))

simplify1.6s

Counts
60 → 60
Iterations

Useful iterations: done (1.6s)

IterNodesCost
087421
1168408
2342371
3801335
42583318
done5000315

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

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)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series548.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (* z (sin y)))
130.0ms
(cbrt (* z (sin y)))
136.0ms
(cbrt (* z (sin y)))
152.0ms
(cbrt (* z (sin y)))

simplify4.0s

Counts
56 → 56
Iterations

Useful iterations: done (4.0s)

IterNodesCost
043500
181496
2155452
3385400
41128360
53732360
done5001356

prune382.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes3.0ms