Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

338×

body

valid

simplify216.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	74	7
4	134	7
5	170	7
6	193	7
done	193	7

prune5.0ms

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))

rewrite68.0ms

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-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

64.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.1s

Counts

49 → 49

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	110	883
1	336	718
2	2285	586
done	5001	562

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (- y) (* x y)))
0.2b	(* (- y) (* x y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 44

Calls

2 calls:

21.0ms	(+ (* (* x y) 1.0) (* (- y) (* x y)))
27.0ms	(* (- y) (* x y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(+ (* (* x y) 1.0) (* (- y) (* x y)))
30.0ms	(* (- y) (* x y))

simplify1.1s

Counts

50 → 50

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	77	539
1	225	493
2	1217	395
done	5001	395

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) y)
4.0b	(* (* (- 1.0 y) y) x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

41.0ms	(* (- 1.0 y) y)
40.0ms	(* (* (- 1.0 y) y) x)

series111.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (- 1.0 y) y)
45.0ms	(* (* (- 1.0 y) y) x)

simplify965.0ms

Counts

52 → 52

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	79	462
1	194	450
2	1139	390
done	5001	386

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (* 1.0 1.0) (* y y)) y)
2.6b	(/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y))
4.0b	(* (/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y)) x)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `associate-l`
10×	`add-cube-cbrt`
8×	`times-frac`
7×	`pow1`
6×	`associate-r` `prod-exp` `cbrt-unprod`
5×	`associate-*l/`
4×	`cbrt-undiv` `div-exp` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`flip3--` `flip3-+` `pow-prod-down` `*-commutative` `flip--` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l*` `difference-of-squares`

Counts

3 → 84

Calls

3 calls:

37.0ms	(* (- (* 1.0 1.0) (* y y)) y)
52.0ms	(/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y))
85.0ms	(* (/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y)) x)

series378.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* (- (* 1.0 1.0) (* y y)) y)
168.0ms	(/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y))
101.0ms	(* (/ (* (- (* 1.0 1.0) (* y y)) y) (+ 1.0 y)) x)

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (530.0ms)

Iter	Nodes	Cost
0	142	1479
1	430	1435
2	2969	1201
done	5001	1201

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	14	12
2	18	12
3	24	12
done	24	12

end0.0ms

sample811.0ms

Algorithm

intervals

Results

433.0ms

10680×

body

valid