Details

Time bar (total: 21.8s)

sample89.0ms

Algorithm
intervals
Results
31.0ms46×body1280valid
20.0ms45×body640valid
14.0ms144×body80valid
4.0ms15×body320valid
1.0ms6×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (sin y) z (* x (cos y)))
0.1b
(* x (cos y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (sin y) z (* x (cos y)))
7.0ms
(* x (cos y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma (sin y) z (* x (cos y)))
46.0ms
(* x (cos y))

simplify5.6s

Counts
36 → 36
Iterations
IterNodes
done5000
44857
31134
2275
191
050

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(* (cbrt x) (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt x)
310.0ms
(cbrt x)
315.0ms
(cbrt x)
344.0ms
(* (cbrt x) (cbrt x))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5000
2711
1142
065

prune659.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b
(cbrt (* x (cos y)))
0.6b
(cbrt (* x (cos y)))
0.6b
(cbrt (* x (cos y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* 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:
15.0ms
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
3.0ms
(cbrt (* x (cos y)))
3.0ms
(cbrt (* x (cos y)))
6.0ms
(cbrt (* x (cos y)))

series810.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
198.0ms
(cbrt (* x (cos y)))
181.0ms
(cbrt (* x (cos y)))
177.0ms
(cbrt (* x (cos y)))

simplify1.0s

Counts
78 → 78
Iterations
IterNodes
done5001
2819
1205
085

prune619.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(* (cbrt x) (cbrt x))
0.6b
(* (cbrt x) (cbrt x))
0.6b
(* (cbrt x) (cbrt x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×cbrt-prod
28×*-un-lft-identity add-cube-cbrt
25×pow1
19×pow1/3
18×swap-sqr associate-*r* associate-*l*
12×unswap-sqr
10×add-exp-log
6×pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
11.0ms
(* (cbrt x) (cbrt x))
18.0ms
(* (cbrt x) (cbrt x))
16.0ms
(* (cbrt x) (cbrt x))

series1.7s

Counts
4 → 12
Calls
4 calls:
772.0ms
(cbrt (* (cbrt x) (cbrt x)))
302.0ms
(* (cbrt x) (cbrt x))
280.0ms
(* (cbrt x) (cbrt x))
329.0ms
(* (cbrt x) (cbrt x))

simplify2.7s

Counts
149 → 149
Iterations
IterNodes
done5000
32937
2507
1151
071

prune912.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.4s1527×body1280valid
906.0ms4233×body80valid
711.0ms1289×body640valid
418.0ms628×body320valid
71.0ms323×body160valid