Details

sample42.0ms

Algorithm

intervals

Results

13.0ms

333×

body

valid

simplify237.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	115
6	115
5	111
4	98
3	65
2	31
1	12
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 47

Calls

1 calls:

43.0ms

(* (* x y) (- 1.0 y))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(* (* x y) (- 1.0 y))

simplify6.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	3530
2	856
1	336
0	111

prune405.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.9b	(* x (* y (- 1.0 y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-r` `associate-l` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 114

Calls

2 calls:

49.0ms	(* y (- 1.0 y))
73.0ms	(* x (* y (- 1.0 y)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* y (- 1.0 y))
89.0ms	(* x (* y (- 1.0 y)))

simplify9.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	4890
2	1078
1	480
0	184

prune658.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.1b	(* (* y y) y)
2.4b	(* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)))
9.6b	(/ (* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`pow-plus` `pow-prod-down` `pow-prod-up` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r*` `distribute-lft-in` `times-frac` `div-exp`
2×	`pow2` `sub-neg` `flip3-+` `flip3--` `associate-l` `prod-diff` `pow3` `associate-/r/` `pow-sqr` `*-commutative` `flip-+` `flip--` `associate-/l/`
1×	`difference-cubes` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-rgt-out` `cube-unmult` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

20.0ms	(+ (* y y) (* 1.0 y))
26.0ms	(* (* y y) y)
184.0ms	(* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)))
184.0ms	(/ (* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* y y) (* 1.0 y))
66.0ms	(* (* y y) y)
261.0ms	(* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)))
325.0ms	(/ (* (* x y) (- (* 1.0 (* 1.0 1.0)) (* (* y y) y))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify4.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2050
1	564
0	185

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(* y (sqrt (- 1.0 y)))
0.1b	(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
3.4b	(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-div`
26×	`associate-*r/`
22×	`add-sqr-sqrt`
21×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
17×	`-un-lft-identity` `associate-r*`
16×	`sqrt-prod`
14×	`flip3--` `flip--`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times`
7×	`associate-l`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 115

Calls

4 calls:

25.0ms	(sqrt (- 1.0 y))
36.0ms	(* y (sqrt (- 1.0 y)))
89.0ms	(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
260.0ms	(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (- 1.0 y))
130.0ms	(* y (sqrt (- 1.0 y)))
103.0ms	(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
72.0ms	(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify3.5s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1523
1	449
0	172

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes457.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample779.0ms

Algorithm

intervals

Results

389.0ms

10642×

body

valid