Details

Time bar (total: 8.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify768.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
113185
101410
9591
8253
7114
648
544
438
333
222
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)

rewrite28.0ms

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:
16.0ms
(* x (+ y z))
11.0ms
(/ (* x (+ y z)) z)

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (+ y z))
41.0ms
(/ (* x (+ y z)) z)

simplify1.2s

Counts
52 → 52
Iterations
IterNodes
done5001
21178
1245
086

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.3b
(/ x (/ z (+ y z)))

rewrite43.0ms

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:
15.0ms
(/ z (+ y z))
19.0ms
(/ x (/ z (+ y z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ z (+ y z))
80.0ms
(/ x (/ z (+ y z)))

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
done5001
22375
1481
0187

prune533.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.6b
(* x (/ (+ y z) z))

rewrite67.0ms

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:
32.0ms
(/ (+ y z) z)
31.0ms
(* x (/ (+ y z) z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ y z) z)
47.0ms
(* x (/ (+ y z) z))

simplify1.1s

Counts
74 → 74
Iterations
IterNodes
done5000
21029
1251
097

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.2b
(/ 1 (/ z (* x (+ y z))))
12.2b
(/ z (* x (+ y z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
27×add-sqr-sqrt *-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×prod-exp
4×associate-*r*
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×clear-num frac-2neg
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative pow-flip distribute-lft-out inv-pow unswap-sqr
Counts
3 → 110
Calls
3 calls:
18.0ms
(* x (+ y z))
25.0ms
(/ 1 (/ z (* x (+ y z))))
16.0ms
(/ z (* x (+ y z)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* x (+ y z))
47.0ms
(/ 1 (/ z (* x (+ y z))))
54.0ms
(/ z (* x (+ y z)))

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done5000
22483
1443
0168

prune426.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

-7.2% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch72.0ms

Steps
ItersRangePoint
6
3.819465148456978e-152
2.6309484927562324e-151
1.5589386466874e-151
9
-6.333527607441475e-72
-8.720816594559532e-80
-1.7066810613263108e-75

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample693.0ms

Algorithm
intervals
Results
380.0ms9606×body80valid