Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

312×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4250
11	2114
10	1026
9	469
8	224
7	122
6	86
5	73
4	53
3	37
2	20
1	11
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
9.1b	(/ (* x (- y z)) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

20.0ms	(* x (- y z))
19.0ms	(/ (* x (- y z)) y)

series123.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (- y z))
71.0ms	(/ (* x (- y z)) y)

simplify1.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5004
3	3442
2	706
1	232
0	92

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
4.1b	(/ x (/ y (- y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`

Counts

2 → 141

Calls

2 calls:

11.0ms	(/ y (- y z))
13.0ms	(/ x (/ y (- y z)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ y (- y z))
72.0ms	(/ x (/ y (- y z)))

simplify1.4s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	2303
1	556
0	220

prune436.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* y (/ 1 (- y z)))
4.1b	(/ x (* y (/ 1 (- y z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
35×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
11×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*r/` `un-div-inv` `flip--`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 115

Calls

3 calls:

8.0ms	(/ 1 (- y z))
17.0ms	(* y (/ 1 (- y z)))
11.0ms	(/ x (* y (/ 1 (- y z))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ 1 (- y z))
63.0ms	(* y (/ 1 (- y z)))
59.0ms	(/ x (* y (/ 1 (- y z))))

simplify1.2s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1171
1	358
0	150

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
4.5b	(* x (/ (- y z) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

2 → 78

Calls

2 calls:

13.0ms	(/ (- y z) y)
18.0ms	(* x (/ (- y z) y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- y z) y)
54.0ms	(* x (/ (- y z) y))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5003
3	3967
2	919
1	278
0	113

prune236.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

2.5% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.1b

bsearch68.0ms

Steps

Iters	Range		Point
8	1.3970090870762347e-115	8.71450603862815e-113	6.662421720446094e-114
8	-5.593407129042499e-93	-2.5889599122407553e-97	-5.854341452353873e-96

simplify6.0ms

Iterations

Iter	Nodes
done	35
3	35
2	34
1	30
0	21

end0.0ms

sample878.0ms

Algorithm

intervals

Results

636.0ms

9657×

body

valid