Details

Time bar (total: 12.3s)

sample88.0ms

Algorithm
intervals
Results
31.0ms43×body1280valid
17.0ms172×body80valid
16.0ms22×body640valid
3.0ms10×body320valid
2.0msbody160valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
92320
8879
7342
6130
567
456
340
228
114
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
add-sqr-sqrt
add-log-exp
add-cube-cbrt
pow1 add-cbrt-cube fma-neg prod-diff add-exp-log
associate-*r* associate-*l*
expm1-log1p-u diff-log log1p-expm1-u distribute-lft-out
sum-log sub-neg flip3-- pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-- unswap-sqr
Counts
2 → 44
Calls
2 calls:
52.0ms
(- (+ (cos y) x) (* z (sin y)))
11.0ms
(* z (sin y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (+ (cos y) x) (* z (sin y)))
49.0ms
(* z (sin y))

simplify462.0ms

Counts
50 → 50
Iterations
IterNodes
done5000
2731
1192
083

prune256.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (cos y) (fma (- z) (sin y) x))
0.0b
(fma (- z) (sin y) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-log-exp
add-sqr-sqrt fma-def add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
+-commutative associate-+r+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
11.0ms
(+ (cos y) (fma (- z) (sin y) x))
1.0ms
(fma (- z) (sin y) x)

series138.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (cos y) (fma (- z) (sin y) x))
78.0ms
(fma (- z) (sin y) x)

simplify812.0ms

Counts
34 → 34
Iterations
IterNodes
done5000
31289
2308
1119
053

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
*-un-lft-identity add-cube-cbrt
cbrt-prod
add-exp-log
expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
34.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
6.0ms
(cbrt (* z (sin y)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
189.0ms
(cbrt (* z (sin y)))
202.0ms
(cbrt (* z (sin y)))
164.0ms
(cbrt (* z (sin y)))

simplify630.0ms

Counts
78 → 78
Iterations
IterNodes
done5001
2819
1218
091

prune668.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt (sin y))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt z)
103.0ms
(cbrt (sin y))
162.0ms
(cbrt (* z (sin y)))
214.0ms
(cbrt (* z (sin y)))

simplify704.0ms

Counts
60 → 60
Iterations
IterNodes
done5000
31482
2443
1173
087

prune464.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s5528×body80valid
745.0ms1001×body1280valid
569.0ms850×body640valid
200.0ms409×body320valid
42.0ms212×body160valid