Details

Time bar (total: 24.9s)

sample69.0ms

Algorithm
intervals
Results
44.0ms481×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5000
74088
61776
5748
4361
3169
251
121
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
3.9b
(* (* y 4.0) (- (* z z) t))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
16×prod-diff
11×add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in associate--r+
*-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube add-exp-log
add-log-exp
sub-neg
associate-*r*
expm1-log1p-u flip3-- pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip--
fma-neg diff-log associate-*r/ difference-of-squares
associate-*l* *-commutative
Counts
3 → 81
Calls
3 calls:
28.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
20.0ms
(- (* z z) t)
54.0ms
(* (* y 4.0) (- (* z z) t))

series305.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
32.0ms
(- (* z z) t)
143.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done5000
21312
1444
0151

prune498.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
0.0b
(- (* x x) (* z (* z (* y 4.0))))
0.2b
(* z (* z (* y 4.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube add-exp-log
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u
sub-neg flip3-- fma-neg diff-log associate-*r* prod-diff *-commutative fma-udef flip--
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
20.0ms
(- (* x x) (* z (* z (* y 4.0))))
69.0ms
(* z (* z (* y 4.0)))

series320.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(fma (* y t) 4.0 (- (* x x) (* z (* z (* y 4.0)))))
121.0ms
(- (* x x) (* z (* z (* y 4.0))))
32.0ms
(* z (* z (* y 4.0)))

simplify4.3s

Counts
61 → 61
Iterations
IterNodes
done5000
34908
2925
1260
0102

prune393.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* (* 4.0 y) z) z))
0.2b
(* (* (* 4.0 y) z) z)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u
sub-neg flip3-- fma-neg diff-log associate-*l* prod-diff *-commutative flip--
Counts
2 → 41
Calls
2 calls:
18.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
68.0ms
(* (* (* 4.0 y) z) z)

series179.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
67.0ms
(* (* (* 4.0 y) z) z)

simplify3.8s

Counts
47 → 47
Iterations
IterNodes
done5000
34881
2903
1243
087

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)

rewrite32.0ms

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
expm1-log1p-u add-cbrt-cube insert-posit16 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 → 85
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.3s

Counts
4 → 12
Calls
4 calls:
378.0ms
(* (cbrt z) (cbrt z))
289.0ms
(cbrt z)
312.0ms
(cbrt z)
283.0ms
(cbrt z)

simplify3.5s

Counts
97 → 97
Iterations
IterNodes
done5001
44657
31110
2364
1141
067

prune484.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes348.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s15603×body80valid