Details

Time bar (total: 14.8s)

sample24.0ms

Algorithm
intervals
Results
14.0ms299×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
112888
101219
9525
8246
7140
6102
583
461
339
220
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.4b
(/ (* x (- y z)) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 73
Calls
2 calls:
24.0ms
(* x (- y z))
23.0ms
(/ (* x (- y z)) y)

series127.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (- y z))
75.0ms
(/ (* x (- y z)) y)

simplify2.4s

Counts
79 → 79
Iterations
IterNodes
done5000
34962
2946
1333
0142

prune229.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.4b
(/ x (/ y (- y z)))

rewrite30.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
11.0ms
(/ y (- y z))
12.0ms
(/ x (/ y (- y z)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ y (- y z))
65.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
151 → 151
Iterations
IterNodes
done5003
22001
1561
0224

prune551.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.4b
(/ (/ y (- y z)) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 444
Calls
3 calls:
14.0ms
(/ y (- y z))
24.0ms
(/ 1 (/ (/ y (- y z)) x))
30.0ms
(/ (/ y (- y z)) x)

series214.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (- y z))
59.0ms
(/ 1 (/ (/ y (- y z)) x))
99.0ms
(/ (/ y (- y z)) x)

simplify2.1s

Counts
453 → 453
Iterations
IterNodes
done5003
24514
11594
0586

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (* (/ y (- y z)) (/ 1 x)))
3.5b
(* (/ y (- y z)) (/ 1 x))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
62×add-sqr-sqrt
51×div-exp
49×times-frac
47×*-un-lft-identity
35×add-cbrt-cube
32×prod-exp
31×add-cube-cbrt
21×associate-*l*
17×rec-exp 1-exp
14×cbrt-undiv
13×associate-*r*
8×pow1 associate-/r/ cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×associate-/r* associate-/l* unswap-sqr
4×div-inv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×frac-times clear-num frac-2neg flip3-- pow-prod-down associate-*l/ associate-*r/ un-div-inv pow-flip flip--
1×*-commutative inv-pow
Counts
3 → 167
Calls
3 calls:
9.0ms
(/ y (- y z))
36.0ms
(/ 1 (* (/ y (- y z)) (/ 1 x)))
33.0ms
(* (/ y (- y z)) (/ 1 x))

series176.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (- y z))
48.0ms
(/ 1 (* (/ y (- y z)) (/ 1 x)))
81.0ms
(* (/ y (- y z)) (/ 1 x))

simplify1.5s

Counts
176 → 176
Iterations
IterNodes
done5000
22015
1643
0228

prune446.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

-7.2% (3.1b remaining)

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

bsearch57.0ms

Steps
ItersRangePoint
7
1.4052738887841556e-139
1.750004160971659e-137
1.1367980230815625e-137
4
-3.3545779559118727e-13
-1.7028068208877994e-13
-1.876455341869721e-13

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
988.0ms9546×body80valid