Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

285×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2509
9	460
8	155
7	113
6	93
5	85
4	71
3	43
2	19
1	10
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

17.0ms	(* (+ x 1.0) y)
12.0ms	(- (* (+ x 1.0) y) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (+ x 1.0) y)
22.0ms	(- (* (+ x 1.0) y) x)

simplify770.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	645
1	154
0	63

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
0.0b	(* (+ x 1.0) (- x 1.0))
4.0b	(* y (* (+ x 1.0) (- x 1.0)))
8.1b	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*r/`
20×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`frac-times`
11×	`pow1` `flip3--` `flip--`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3-+` `add-cube-cbrt` `flip-+`
8×	`associate-/l/`
7×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-r` `associate-*l/` `add-log-exp`
5×	`associate-/r*` `times-frac`
4×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

66.0ms	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
31.0ms	(* (+ x 1.0) (- x 1.0))
37.0ms	(* y (* (+ x 1.0) (- x 1.0)))
48.0ms	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
80.0ms	(* (+ x 1.0) (- x 1.0))
75.0ms	(* y (* (+ x 1.0) (- x 1.0)))
38.0ms	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	3842
1	535
0	173

prune417.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y (/ 1 (+ x 1.0))) x)
0.0b	(/ 1 (+ x 1.0))
0.1b	(/ y (/ 1 (+ x 1.0)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
98×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `difference-of-squares`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `flip3--` `diff-log` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`

Counts

3 → 146

Calls

3 calls:

97.0ms	(- (/ y (/ 1 (+ x 1.0))) x)
12.0ms	(/ 1 (+ x 1.0))
14.0ms	(/ y (/ 1 (+ x 1.0)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (/ y (/ 1 (+ x 1.0))) x)
33.0ms	(/ 1 (+ x 1.0))
47.0ms	(/ y (/ 1 (+ x 1.0)))

simplify1.8s

Counts

155 → 155

Iterations

Iter	Nodes
done	5002
2	3736
1	545
0	220

prune484.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (sqrt y) (* (+ x 1.0) (sqrt y))) x)
0.1b	(* (+ x 1.0) (sqrt y))
0.2b	(* (sqrt y) (* (+ x 1.0) (sqrt y)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log`
8×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

58.0ms	(- (* (sqrt y) (* (+ x 1.0) (sqrt y))) x)
33.0ms	(* (+ x 1.0) (sqrt y))
53.0ms	(* (sqrt y) (* (+ x 1.0) (sqrt y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* (sqrt y) (* (+ x 1.0) (sqrt y))) x)
62.0ms	(* (+ x 1.0) (sqrt y))
47.0ms	(* (sqrt y) (* (+ x 1.0) (sqrt y)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1065
1	277
0	108

prune288.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample612.0ms

Algorithm

intervals

Results

301.0ms	9172×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid