Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

312×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2888
10	1219
9	525
8	246
7	140
6	102
5	83
4	61
3	39
2	20
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 73

Calls

2 calls:

20.0ms	(* x (- y z))
22.0ms	(/ (* x (- y z)) y)

series127.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (- y z))
73.0ms	(/ (* x (- y z)) y)

simplify2.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	4962
2	946
1	333
0	142

prune178.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 145

Calls

2 calls:

8.0ms	(/ y (- y z))
15.0ms	(/ x (/ y (- y z)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ y (- y z))
55.0ms	(/ x (/ y (- y z)))

simplify1.4s

Counts

151 → 151

Iterations

Iter	Nodes
done	5003
2	2001
1	561
0	224

prune505.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

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))))

rewrite54.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 121

Calls

3 calls:

8.0ms	(/ 1 (- y z))
25.0ms	(* y (/ 1 (- y z)))
19.0ms	(/ x (* y (/ 1 (- y z))))

series159.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- y z))
53.0ms	(* y (/ 1 (- y z)))
65.0ms	(/ x (* y (/ 1 (- y z))))

simplify1.1s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1239
1	366
0	156

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 82

Calls

2 calls:

14.0ms	(/ (- y z) y)
26.0ms	(* x (/ (- y z) y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- y z) y)
55.0ms	(* x (/ (- y z) y))

simplify3.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5011
3	4108
2	950
1	286
0	117

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

2.5% (3.0b remaining)

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

bsearch80.0ms

Steps

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

simplify10.0ms

Iterations

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

end0.0ms

sample1.0s

Algorithm

intervals

Results

716.0ms

9657×

body

valid