Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	85
5	85
4	78
3	61
2	31
1	12
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

47.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify2.3s

Counts

30 → 30

Iterations

Iter	Nodes
done	5008
3	2875
2	571
1	175
0	61

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r` `associate-l` `associate-*r/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

42.0ms	(* y (- 1.0 y))
54.0ms	(* x (* y (- 1.0 y)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* y (- 1.0 y))
50.0ms	(* x (* y (- 1.0 y)))

simplify2.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	3236
2	673
1	217
0	86

prune189.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

8.0ms	(+ (* y y) (* 1.0 y))
22.0ms	(* y (* y y))
128.0ms	(* (* x y) (- (* 1.0 (* 1.0 1.0)) (* y (* y y))))
98.0ms	(/ (* (* x y) (- (* 1.0 (* 1.0 1.0)) (* y (* y y)))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* y y) (* 1.0 y))
51.0ms	(* y (* y y))
161.0ms	(* (* x y) (- (* 1.0 (* 1.0 1.0)) (* y (* y y))))
196.0ms	(/ (* (* x y) (- (* 1.0 (* 1.0 1.0)) (* y (* y y)))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify2.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5003
2	2254
1	540
0	169

prune558.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite291.0ms

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×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 107

Calls

4 calls:

13.0ms	(sqrt (- 1.0 y))
38.0ms	(* y (sqrt (- 1.0 y)))
54.0ms	(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
178.0ms	(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (- 1.0 y))
121.0ms	(* y (sqrt (- 1.0 y)))
74.0ms	(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
64.0ms	(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1500
1	427
0	164

prune470.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample707.0ms

Algorithm

intervals

Results

471.0ms

10642×

body

valid