Details

Time bar (total: 12.9s)

sample29.0ms

Algorithm
intervals
Results
16.0ms339×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
51516
4404
3119
246
122
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
82.0ms
(* x (+ (- y z) 1.0))
31.0ms
(/ (* x (+ (- y z) 1.0)) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (+ (- y z) 1.0))
57.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.3s

Counts
57 → 57
Iterations
IterNodes
done5000
21306
1280
098

prune304.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
0.0b
(fma (/ x z) 1.0 (* (/ x z) y))
3.2b
(* (/ x z) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
13×associate-*l*
10×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
7.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
0.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
22.0ms
(* (/ x z) y)

series163.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
68.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
32.0ms
(* (/ x z) y)

simplify1.0s

Counts
82 → 82
Iterations
IterNodes
done5000
21273
1304
0130

prune420.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
29.0ms
(/ z (+ (- y z) 1.0))
47.0ms
(/ x (/ z (+ (- y z) 1.0)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ z (+ (- y z) 1.0))
79.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts
149 → 149
Iterations
IterNodes
done5001
22529
1528
0204

prune720.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.3b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.1b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
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 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 441
Calls
3 calls:
52.0ms
(/ z (+ (- y z) 1.0))
88.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
62.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series240.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ z (+ (- y z) 1.0))
68.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
108.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify1.2s

Counts
450 → 450
Iterations
IterNodes
done5000
11483
0520

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

66.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch96.0ms

Steps
ItersRangePoint
7
8.907548753110286e-195
7.239527806489587e-193
1.2136111784478674e-194
10
-1.5132905516399976e-187
-4.0853996331212186e-204
-4.6651851196604533e-188

simplify7.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample1.2s

Algorithm
intervals
Results
884.0ms10121×body80valid