Details

Time bar (total: 22.8s)

sample30.0ms

Algorithm
intervals
Results
10.0ms293×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94856
81634
7579
6219
591
465
342
222
111
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.7b
(/ (* x (- y z)) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
20.0ms
(* x (- y z))
13.0ms
(/ (* x (- y z)) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
56.0ms
(/ (* x (- y z)) y)

simplify895.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
2970
1236
090

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.6b
(/ x (/ y (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
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 → 139
Calls
2 calls:
9.0ms
(/ y (- y z))
23.0ms
(/ x (/ y (- y z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ y (- y z))
75.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
145 → 145
Iterations
IterNodes
done5000
22840
1560
0218

prune562.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

12.9b
(* (/ x y) (- y z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
32.0ms
(* (/ x y) (- y z))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* (/ x y) (- y z))

simplify966.0ms

Counts
45 → 45
Iterations
IterNodes
done5001
21134
1249
094

prune215.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x (sqrt (/ y (- y z))))
0.1b
(/ (/ x (sqrt (/ y (- y z)))) (sqrt (/ y (- y z))))
3.4b
(sqrt (/ y (- y z)))
3.4b
(sqrt (/ y (- y z)))

rewrite530.0ms

Algorithm
rewrite-expression-head
Rules
6107×times-frac
3339×sqrt-prod
3202×add-sqr-sqrt
3196×*-un-lft-identity
2242×add-cube-cbrt
477×distribute-lft-out-- difference-of-squares
345×associate-/r/
186×div-inv
159×flip3-- flip--
80×associate-/l*
48×associate-/r*
29×sqrt-div
11×add-cbrt-cube add-exp-log
6×pow1
4×cbrt-undiv rem-sqrt-square div-exp add-log-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 2143
Calls
4 calls:
25.0ms
(/ x (sqrt (/ y (- y z))))
90.0ms
(/ (/ x (sqrt (/ y (- y z)))) (sqrt (/ y (- y z))))
15.0ms
(sqrt (/ y (- y z)))
11.0ms
(sqrt (/ y (- y z)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ x (sqrt (/ y (- y z))))
123.0ms
(/ (/ x (sqrt (/ y (- y z)))) (sqrt (/ y (- y z))))
92.0ms
(sqrt (/ y (- y z)))
91.0ms
(sqrt (/ y (- y z)))

simplify2.2s

Counts
2155 → 2155
Iterations
IterNodes
done5000
02636

prune12.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes224.0ms

Accuracy

52.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
done33
333
230
127
023

end0.0ms

sample878.0ms

Algorithm
intervals
Results
419.0ms9589×body80valid