Details

Time bar (total: 12.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms307×body80valid

simplify38.0ms

Counts
1 → 1
Iterations
IterNodes
done51
851
750
646
542
435
331
220
116
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
36.0ms
(* x (+ y z))
12.0ms
(/ (* x (+ y z)) z)

series88.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ y z))
53.0ms
(/ (* x (+ y z)) z)

simplify2.5s

Counts
52 → 52
Iterations
IterNodes
done5048
33730
2833
1239
086

prune361.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.1b
(/ x (/ z (+ y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 123
Calls
2 calls:
8.0ms
(/ z (+ y z))
13.0ms
(/ x (/ z (+ y z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ z (+ y z))
65.0ms
(/ x (/ z (+ y z)))

simplify1.4s

Counts
129 → 129
Iterations
IterNodes
done5000
21631
1477
0187

prune614.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.2b
(* x (/ (+ y z) z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
16.0ms
(/ (+ y z) z)
37.0ms
(* x (/ (+ y z) z))

series66.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (+ y z) z)
47.0ms
(* x (/ (+ y z) z))

simplify2.5s

Counts
74 → 74
Iterations
IterNodes
done5039
33783
2790
1244
097

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.2b
(* x (+ (/ y z) 1))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
56.0ms
(* x (+ (/ y z) 1))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (+ (/ y z) 1))

simplify2.9s

Counts
26 → 26
Iterations
IterNodes
done5054
32837
2507
1145
048

prune89.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

2.5% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.1b

bsearch80.0ms

Steps
ItersRangePoint
9
2.240150696418369e-127
1.6075284616162596e-119
1.1236850826911744e-120
9
-1.841826682163307e-200
-1.31900383249767e-207
-1.244096151631291e-205

simplify3.0ms

Iterations
IterNodes
done27
127
017

end0.0ms

sample720.0ms

Algorithm
intervals
Results
389.0ms9508×body80valid