Details

sample39.0ms

Algorithm

intervals

Results

26.0ms

290×

body

valid

simplify950.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	470
10	470
9	467
8	454
7	403
6	334
5	250
4	164
3	73
2	31
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 109

Calls

3 calls:

7.0ms	(- x (/ 16.0 116.0))
22.0ms	(* (- x (/ 16.0 116.0)) 3.0)
52.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series188.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- x (/ 16.0 116.0))
81.0ms	(* (- x (/ 16.0 116.0)) 3.0)
65.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1525
1	536
0	220

prune419.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

20.0ms	(- (* 3.0 x) 0.41379310344827586)
48.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series159.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* 3.0 x) 0.41379310344827586)
82.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5019
3	1899
2	598
1	231
0	95

prune208.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3.0 x (- 0.41379310344827586))
0.1b	(* y (fma 3.0 x (- 0.41379310344827586)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 3.0 x (- 0.41379310344827586))
12.0ms	(* y (fma 3.0 x (- 0.41379310344827586)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma 3.0 x (- 0.41379310344827586))
69.0ms	(* y (fma 3.0 x (- 0.41379310344827586)))

simplify3.3s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
4	4600
3	996
2	296
1	110
0	51

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 86

Calls

2 calls:

7.0ms	(- x (/ 16.0 116.0))
47.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series104.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- x (/ 16.0 116.0))
63.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4800
2	1430
1	489
0	196

prune271.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample967.0ms

Algorithm

intervals

Results

751.0ms

9163×

body

valid