Details

Time bar (total: 10.6s)

sample31.0ms

Algorithm
intervals
Results
15.0ms308×body80valid

simplify39.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
483
352
224
111
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 1 expressions with local error:

3.3b
(* x (- 1.0 (* y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
24.0ms
(* x (- 1.0 (* y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (- 1.0 (* y z)))

simplify3.0s

Counts
35 → 35
Iterations
IterNodes
done5000
34073
2674
1168
070

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
5.4b
(* x (- (* y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* x (- (* y z))))
17.0ms
(* x (- (* y z)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (* x 1.0) (* x (- (* y z))))
33.0ms
(* x (- (* y z)))

simplify1.4s

Counts
47 → 47
Iterations
IterNodes
done5001
21263
1206
072

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.6b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
12.3b
(cbrt (- (* y z)))
12.3b
(cbrt (- (* y z)))
12.3b
(cbrt (- (* y z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt pow1 add-exp-log
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
47.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
3.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
139.0ms
(cbrt (- (* y z)))
129.0ms
(cbrt (- (* y z)))
131.0ms
(cbrt (- (* y z)))

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done5001
32696
2685
1248
0104

prune471.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (- y)) z))
7.0b
(* (* x (- y)) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*l* unsub-neg *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x (- y)) z))
18.0ms
(* (* x (- y)) z)

series126.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(+ (* x 1.0) (* (* x (- y)) z))
39.0ms
(* (* x (- y)) z)

simplify1.5s

Counts
43 → 43
Iterations
IterNodes
done5001
21344
1218
074

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

90.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.6b

bsearch2.0ms

simplify12.0ms

Iterations
IterNodes
done53
353
249
136
019

end0.0ms

sample652.0ms

Algorithm
intervals
Results
336.0ms9559×body80valid