Details

Time bar (total: 13.6s)

sample114.0ms

Algorithm
intervals
Results
28.0ms31×body1280valid
28.0ms27×body640valid
21.0ms171×body80valid
8.0ms20×body320valid
2.0ms7×body160valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
221
113
08

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sin y))
0.1b
(fma (cos y) z (+ x (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
1×+-commutative sum-log flip3-+ flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
11.0ms
(+ x (sin y))
1.0ms
(fma (cos y) z (+ x (sin y)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ x (sin y))
86.0ms
(fma (cos y) z (+ x (sin y)))

simplify795.0ms

Counts
33 → 33
Iterations
IterNodes
done5000
3808
2233
1101
046

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (fma z (cos y) x) (sin y)))
0.5b
(cbrt (+ (fma z (cos y) x) (sin y)))
0.5b
(cbrt (+ (fma z (cos y) x) (sin y)))
0.5b
(* (cbrt (+ (fma z (cos y) x) (sin y))) (cbrt (+ (fma z (cos y) x) (sin y))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
4.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
7.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
6.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
47.0ms
(* (cbrt (+ (fma z (cos y) x) (sin y))) (cbrt (+ (fma z (cos y) x) (sin y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
241.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
303.0ms
(cbrt (+ (fma z (cos y) x) (sin y)))
351.0ms
(* (cbrt (+ (fma z (cos y) x) (sin y))) (cbrt (+ (fma z (cos y) x) (sin y))))

simplify826.0ms

Counts
115 → 115
Iterations
IterNodes
done5001
21864
1435
0162

prune720.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (cbrt (fma z (cos y) (+ x (sin y))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (+ (fma z (cos y) x) (sin y))))
0.6b
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
0.6b
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
0.6b
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
14×*-un-lft-identity
13×pow1 add-exp-log
12×add-sqr-sqrt add-cube-cbrt
9×pow-prod-down
7×pow1/3 associate-*r*
6×add-cbrt-cube prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-div associate-*r/
1×flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out
Counts
4 → 78
Calls
4 calls:
132.0ms
(* (* (* (cbrt (cbrt (fma z (cos y) (+ x (sin y))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (+ (fma z (cos y) x) (sin y))))
2.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
2.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
2.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (* (* (cbrt (cbrt (fma z (cos y) (+ x (sin y))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (cbrt (fma z (cos y) (+ x (sin y)))))) (cbrt (+ (fma z (cos y) x) (sin y))))
271.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
305.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))
263.0ms
(cbrt (cbrt (fma z (cos y) (+ x (sin y)))))

simplify935.0ms

Counts
90 → 90
Iterations
IterNodes
done5000
22201
1468
0171

prune814.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize173.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.5b
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.5b
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×cbrt-prod
8×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×pow1/3
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down
1×prod-exp *-commutative cbrt-unprod
Counts
4 → 63
Calls
4 calls:
13.0ms
(* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y)))))
8.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
5.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
4.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
367.0ms
(* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y)))))
391.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
356.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))
348.0ms
(cbrt (* (cbrt (fma z (cos y) (+ (sin y) x))) (cbrt (fma (cos y) z (+ x (sin y))))))

simplify488.0ms

Counts
75 → 75
Iterations
IterNodes
done5001
21407
1357
0140

prune918.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes346.0ms

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
done8
18
07

end0.0ms

sample2.8s

Algorithm
intervals
Results
812.0ms5546×body80valid
682.0ms1011×body1280valid
390.0ms824×body640valid
370.0ms207×body160valid
157.0ms412×body320valid