Details

Time bar (total: 42.9s)

sample122.0ms

Algorithm
intervals
Results
36.0ms41×body1280valid
33.0ms57×body640valid
18.0ms131×body80valid
7.0ms17×body320valid
3.0ms10×body160valid

simplify58.0ms

Counts
1 → 1
Iterations
IterNodes
done25
325
221
113
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
expm1-log1p-u log1p-expm1-u
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
23.0ms
(- (* x (cos y)) (* z (sin y)))
18.0ms
(* x (cos y))
19.0ms
(* z (sin y))

series957.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(- (* x (cos y)) (* z (sin y)))
83.0ms
(* x (cos y))
744.0ms
(* z (sin y))

simplify3.4s

Counts
65 → 65
Iterations
IterNodes
done5000
31728
2479
1202
092

prune605.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
31.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series1.0s

Counts
4 → 12
Calls
4 calls:
260.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
251.0ms
(cbrt (sin y))
236.0ms
(cbrt (sin y))
290.0ms
(cbrt (sin y))

simplify3.7s

Counts
93 → 93
Iterations
IterNodes
done5001
31412
2468
1180
079

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
38.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.6s

Counts
4 → 12
Calls
4 calls:
499.0ms
(* (cbrt z) (cbrt z))
384.0ms
(cbrt z)
359.0ms
(cbrt z)
397.0ms
(cbrt z)

simplify8.6s

Counts
93 → 93
Iterations
IterNodes
done5005
44247
31097
2382
1141
065

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(cbrt (cbrt z))
27.0ms
(cbrt (* (cbrt z) (cbrt z)))

series2.3s

Counts
4 → 12
Calls
4 calls:
422.0ms
(cbrt z)
487.0ms
(cbrt z)
610.0ms
(cbrt (cbrt z))
830.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify2.9s

Counts
65 → 65
Iterations
IterNodes
done5000
41771
3707
2273
1119
064

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample12.4s

Algorithm
intervals
Results
6.7s1497×body1280valid
2.3s1262×body640valid
1.7s602×body320valid
1.1s4329×body80valid
156.0ms310×body160valid