Details

Time bar (total: 15.7s)

sample73.0ms

Algorithm
intervals
Results
18.0ms29×body1280valid
16.0ms175×body80valid
14.0ms33×body640valid
4.0ms11×body320valid
2.0msbody160valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
92191
8773
7280
6110
551
442
336
228
114
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-cbrt-cube add-exp-log add-cube-cbrt
associate-*r* associate-*l*
associate-+r+ sum-log sub-neg diff-log
+-commutative associate-+r- flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out unswap-sqr
Counts
3 → 46
Calls
3 calls:
16.0ms
(+ (cos y) (- x (* z (sin y))))
4.0ms
(- x (* z (sin y)))
8.0ms
(* z (sin y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ (cos y) (- x (* z (sin y))))
86.0ms
(- x (* z (sin y)))
66.0ms
(* z (sin y))

simplify2.3s

Counts
55 → 55
Iterations
IterNodes
done5000
33535
2640
1202
084

prune358.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
2.0ms
(cbrt z)
7.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (cbrt z) (cbrt z))
305.0ms
(cbrt z)
325.0ms
(cbrt z)
265.0ms
(cbrt z)

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune558.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
8.7b
(cbrt (* (sin y) z))
8.7b
(cbrt (* (sin y) z))
8.7b
(cbrt (* (sin y) z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
*-un-lft-identity add-cube-cbrt
cbrt-prod
add-exp-log
add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
24.0ms
(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
4.0ms
(cbrt (* (sin y) z))
4.0ms
(cbrt (* (sin y) z))
4.0ms
(cbrt (* (sin y) z))

series767.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (* (sin y) z)) (cbrt (* (sin y) z)))
163.0ms
(cbrt (* (sin y) z))
185.0ms
(cbrt (* (sin y) z))
186.0ms
(cbrt (* (sin y) z))

simplify783.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
2861
1213
087

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
8.7b
(cbrt (* (sin y) z))
8.7b
(cbrt (* (sin y) z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
4.0ms
(cbrt (* (sin y) z))
6.0ms
(cbrt (* (sin y) z))

series718.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt z)
154.0ms
(cbrt (sin y))
142.0ms
(cbrt (* (sin y) z))
131.0ms
(cbrt (* (sin y) z))

simplify679.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
31531
2443
1166
081

prune382.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes180.0ms

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
done10
110
08

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s5672×body80valid
851.0ms914×body1280valid
437.0ms843×body640valid
144.0ms387×body320valid
47.0ms184×body160valid