Details

Time bar (total: 18.5s)

sample41.0ms

Algorithm
intervals
Results
27.0ms349×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done59
459
345
223
110
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
21.0ms
(* x (- 1.0 (* x y)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (- 1.0 (* x y)))

simplify2.9s

Counts
36 → 36
Iterations
IterNodes
done5001
32604
2544
1166
072

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* x y) (* x y))
0.7b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
6.1b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-cbrt-cube add-exp-log
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×associate-*r*
4×associate-*l* associate-*r/ pow-sqr pow-prod-up
3×distribute-rgt-in expm1-log1p-u associate-/r* distribute-lft-in times-frac insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg pow-plus flip3-- div-exp prod-diff associate-/r/ *-commutative flip-- associate-/l/
1×pow2 clear-num frac-2neg flip3-+ swap-sqr flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 95
Calls
3 calls:
22.0ms
(* (* x y) (* x y))
29.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
26.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (* x y) (* x y))
101.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
111.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.7s

Counts
104 → 104
Iterations
IterNodes
done5004
21721
1421
0147

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
12.0ms
(/ x (/ 1 (- 1.0 (* y x))))
8.0ms
(/ 1 (- 1.0 (* y x)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ x (/ 1 (- 1.0 (* y x))))
55.0ms
(/ 1 (- 1.0 (* y x)))

simplify1.4s

Counts
125 → 125
Iterations
IterNodes
done5001
21463
1522
0206

prune398.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma x y 1.0) x)
0.1b
(/ (/ (fma x y 1.0) x) (fma x y 1.0))
0.1b
(/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x)))
0.2b
(/ 1 (/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
2190×times-frac
970×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×associate-/r*
76×div-inv
62×associate-/l*
54×add-exp-log
36×div-exp
34×add-cbrt-cube
20×cbrt-undiv
11×associate-/r/
5×pow1 flip3-- flip--
4×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip inv-pow
Counts
4 → 875
Calls
4 calls:
8.0ms
(/ (fma x y 1.0) x)
15.0ms
(/ (/ (fma x y 1.0) x) (fma x y 1.0))
29.0ms
(/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x)))
27.0ms
(/ 1 (/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ (fma x y 1.0) x)
6.0ms
(/ (/ (fma x y 1.0) x) (fma x y 1.0))
52.0ms
(/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x)))
66.0ms
(/ 1 (/ (/ (/ (fma x y 1.0) x) (fma x y 1.0)) (- 1.0 (* y x))))

simplify5.0s

Counts
887 → 887
Iterations
IterNodes
done5001
13776
01305

prune4.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes101.0ms

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

sample1.4s

Algorithm
intervals
Results
787.0ms10649×body80valid