Details

Time bar (total: 8.4s)

sample45.0ms

Algorithm
intervals
Results
13.0ms32×body1280valid
10.0ms181×body80valid
6.0ms20×body320valid
5.0ms20×body640valid
0.0ms3×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
089
1139
2218
3268
done268

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt fma-def
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×+-commutative flip3-+ sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
3.0ms
(+ x (sin y))
0.0ms
(fma (cos y) z (+ x (sin y)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (sin y))
41.0ms
(fma (cos y) z (+ x (sin y)))

simplify620.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
046251
199246
2196220
3489220
41635220
done5000220

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (cos y) z (+ x (sin y))))
0.0b
(fma (cos y) z (+ x (sin y)))
0.0b
(fma (cos y) z (+ x (sin y)))
0.2b
(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms
(fma (cos y) z (+ x (sin y)))
0.0ms
(fma (cos y) z (+ x (sin y)))
7.0ms
(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (fma (cos y) z (+ x (sin y))))
41.0ms
(fma (cos y) z (+ x (sin y)))
37.0ms
(fma (cos y) z (+ x (sin y)))
42.0ms
(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify2.1s

Counts
98 → 98
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0921716
11811181
25821044
32830993
done5000990

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.1b
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.1b
(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
0.4b
(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×associate-*r*
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 157
Calls
4 calls:
1.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
1.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
21.0ms
(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
3.0ms
(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

series597.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
177.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
38.0ms
(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
205.0ms
(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

simplify1.1s

Counts
169 → 169
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
01914292
15343140
224442830
done50002830

prune408.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cos y) z (+ x (sin y)))
0.1b
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.1b
(* (pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
0.2b
(pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-prod
38×add-sqr-sqrt
18×unpow-prod-down
15×add-cube-cbrt *-un-lft-identity
12×unswap-sqr
10×add-exp-log associate-*l*
9×pow1 associate-*r*
6×sqrt-pow1 add-cbrt-cube
5×sqr-pow
4×expm1-log1p-u pow1/2 log1p-expm1-u add-log-exp
3×pow-unpow pow-pow prod-exp
2×pow-to-exp rem-sqrt-square pow-exp pow-prod-up
1×*-commutative sqrt-pow2 cbrt-unprod fma-udef
Counts
4 → 103
Calls
4 calls:
0.0ms
(fma (cos y) z (+ x (sin y)))
1.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
12.0ms
(* (pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
2.0ms
(pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2)

series501.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (cos y) z (+ x (sin y)))
177.0ms
(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
38.0ms
(* (pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
246.0ms
(pow (sqrt (fma (cos y) z (+ x (sin y)))) 3/2)

simplify658.0ms

Counts
115 → 115
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
02122634
15212416
219832313
done50002311

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.2s

Algorithm
intervals
Results
415.0ms976×body1280valid
311.0ms5644×body80valid
197.0ms754×body640valid
77.0ms415×body320valid
27.0ms211×body160valid