Details

Time bar (total: 42.3s)

sample37.0ms

Algorithm
intervals
Results
15.0ms322×body80valid

simplify140.0ms

Counts
1 → 1
Iterations
IterNodes
done87
587
479
352
224
111
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize18.0ms

Local error

Found 1 expressions with local error:

2.3b
(* x (- 1.0 (* y z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
prod-diff
distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

series171.0ms

Counts
1 → 3
Calls
1 calls:
170.0ms
(* x (- 1.0 (* y z)))

simplify4.2s

Counts
35 → 35
Iterations
IterNodes
done5000
31689
2484
1157
070

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.0b
(* x (- (* y z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*l* distribute-rgt-neg-out
expm1-log1p-u log1p-expm1-u
+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
20.0ms
(+ (* x 1.0) (* x (- (* y z))))
32.0ms
(* x (- (* y z)))

series182.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(+ (* x 1.0) (* x (- (* y z))))
50.0ms
(* x (- (* y z)))

simplify9.5s

Counts
47 → 47
Iterations
IterNodes
done5000
34326
2902
1206
072

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
8.8b
(cbrt (- (* y z)))
8.8b
(cbrt (- (* y z)))
8.8b
(cbrt (- (* y z)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
pow1 add-exp-log add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
87.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
5.0ms
(cbrt (- (* y z)))
5.0ms
(cbrt (- (* y z)))
5.0ms
(cbrt (- (* y z)))

series851.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
178.0ms
(cbrt (- (* y z)))
181.0ms
(cbrt (- (* y z)))
184.0ms
(cbrt (- (* y z)))

simplify7.2s

Counts
81 → 81
Iterations
IterNodes
done5001
31843
2622
1249
0104

prune827.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

8.8b
(cbrt (- (* y z)))
8.8b
(cbrt (- (* y z)))
8.8b
(cbrt (- (* y z)))
8.8b
(cbrt (- (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (- (* y z)))
4.0ms
(cbrt (- (* y z)))
4.0ms
(cbrt (- (* y z)))
4.0ms
(cbrt (- (* y z)))

series2.2s

Counts
4 → 12
Calls
4 calls:
473.0ms
(cbrt (- (* y z)))
782.0ms
(cbrt (- (* y z)))
483.0ms
(cbrt (- (* y z)))
488.0ms
(cbrt (- (* y z)))

simplify12.1s

Counts
76 → 76
Iterations
IterNodes
done5011
53278
4994
3399
2173
198
052

prune987.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

90.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.1b

bsearch7.0ms

simplify14.0ms

Iterations
IterNodes
done40
340
233
129
018

end0.0ms

sample1.2s

Algorithm
intervals
Results
499.0ms9650×body80valid