Details

Time bar (total: 12.9s)

sample40.0ms

Algorithm
intervals
Results
25.0ms349×body80valid

simplify46.0ms

Counts
1 → 1
Iterations
IterNodes
done58
458
344
223
110
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
26.0ms
(* x (- 1.0 (* x y)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* x (- 1.0 (* x y)))

simplify2.6s

Counts
36 → 36
Iterations
IterNodes
done5000
32268
2496
1166
072

prune153.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
0.7b
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
6.1b
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
22×associate-*r/
19×add-cbrt-cube add-exp-log
18×prod-diff
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×frac-times
10×pow1 flip3-+ flip-+
9×flip3-- flip--
8×associate-/l/
7×prod-exp cbrt-unprod
6×sub-neg associate-*l* associate-*l/
4×associate-*r* pow-prod-down
3×expm1-log1p-u cbrt-undiv associate-/r* times-frac div-exp insert-posit16 log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative
1×clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
3 → 124
Calls
3 calls:
26.0ms
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
46.0ms
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
40.0ms
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

series248.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
104.0ms
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
60.0ms
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

simplify2.2s

Counts
133 → 133
Iterations
IterNodes
done5006
23062
1638
0191

prune642.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (* x y)))
0.1b
(/ x (/ 1 (- 1.0 (* x y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 119
Calls
2 calls:
11.0ms
(/ 1 (- 1.0 (* x y)))
9.0ms
(/ x (/ 1 (- 1.0 (* x y))))

series152.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ 1 (- 1.0 (* x y)))
73.0ms
(/ x (/ 1 (- 1.0 (* x y))))

simplify1.5s

Counts
125 → 125
Iterations
IterNodes
done5001
21416
1524
0204

prune416.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (+ 1.0 (* x y)))
0.3b
(* (* x y) (* x y))
5.2b
(* (- (* 1.0 1.0) (* (* x y) (* x y))) (/ x (+ 1.0 (* x y))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
24×add-sqr-sqrt
22×add-cbrt-cube add-exp-log
19×*-un-lft-identity times-frac add-cube-cbrt
18×pow-prod-down
16×associate-*r*
10×prod-exp cbrt-unprod
5×associate-*l*
4×associate-/r/ pow-sqr pow-prod-up
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×frac-times cbrt-undiv flip3-+ pow-plus flip3-- div-exp associate-*l/ *-commutative flip-+ div-inv flip-- unswap-sqr
1×pow2 clear-num frac-2neg swap-sqr associate-*r/ difference-of-squares
Counts
3 → 111
Calls
3 calls:
11.0ms
(/ x (+ 1.0 (* x y)))
45.0ms
(* (* x y) (* x y))
63.0ms
(* (- (* 1.0 1.0) (* (* x y) (* x y))) (/ x (+ 1.0 (* x y))))

series246.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ x (+ 1.0 (* x y)))
56.0ms
(* (* x y) (* x y))
122.0ms
(* (- (* 1.0 1.0) (* (* x y) (* x y))) (/ x (+ 1.0 (* x y))))

simplify2.3s

Counts
120 → 120
Iterations
IterNodes
done5000
22135
1462
0173

prune422.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10649×body80valid