Details

Time bar (total: 10.1s)

sample48.0ms

Algorithm
intervals
Results
20.0ms329×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
64079
5803
4229
384
234
114
08

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
25.0ms
(* (- 1.0 y) z)
15.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (- 1.0 y) z)
98.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify534.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
2886
1226
093

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* x z))
0.0b
(+ (* 1.0 (- x (* x z))) (* (* x y) z))
7.1b
(* (* x y) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log
7×add-log-exp
4×add-sqr-sqrt associate-+l+ *-un-lft-identity add-cube-cbrt
3×sub-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in distribute-lft-in
1×+-commutative sum-log flip3-+ flip3-- diff-log associate-*l* *-commutative flip-+ flip--
Counts
3 → 45
Calls
3 calls:
4.0ms
(- x (* x z))
22.0ms
(+ (* 1.0 (- x (* x z))) (* (* x y) z))
27.0ms
(* (* x y) z)

series618.0ms

Counts
3 → 9
Calls
3 calls:
484.0ms
(- x (* x z))
102.0ms
(+ (* 1.0 (- x (* x z))) (* (* x y) z))
33.0ms
(* (* x y) z)

simplify863.0ms

Counts
54 → 54
Iterations
IterNodes
done5002
21542
1258
094

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* z x) (- y 1.0)))
3.1b
(* (* z x) (- y 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in add-log-exp
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-*r/
1×+-commutative sum-log flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
15.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
33.0ms
(* (* z x) (- y 1.0))

series168.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
65.0ms
(* (* z x) (- y 1.0))

simplify1.2s

Counts
47 → 47
Iterations
IterNodes
done5000
21613
1269
091

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ (* y z) 1.0)) (* (- 1.0) (* z x)))
3.1b
(* x (+ (* y z) 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×distribute-lft-neg-out distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative sum-log unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
20.0ms
(+ (* x (+ (* y z) 1.0)) (* (- 1.0) (* z x)))
34.0ms
(* x (+ (* y z) 1.0))

series177.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(+ (* x (+ (* y z) 1.0)) (* (- 1.0) (* z x)))
62.0ms
(* x (+ (* y z) 1.0))

simplify708.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21232
1261
078

prune261.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes216.0ms

Accuracy

89.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch72.0ms

Steps
ItersRangePoint
6
1.80144231504105e+29
1.1702112566706674e+30
1.9691459215725418e+29
7
-3.2275392569223236e+62
-1.3628866334376014e+60
-6.238958166180944e+60

simplify7.0ms

Iterations
IterNodes
done48
348
241
137
023

end0.0ms

sample1.0s

Algorithm
intervals
Results
578.0ms10128×body80valid