Details

sample38.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2590
7	2590
6	1485
5	435
4	222
3	99
2	45
1	22
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t 2) (+ 1 t))
0.0b	(/ (* t 2) (+ 1 t))
0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `associate-/r*` `times-frac` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

25.0ms	(/ (* t 2) (+ 1 t))
26.0ms	(/ (* t 2) (+ 1 t))
1.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
1.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

series219.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* t 2) (+ 1 t))
27.0ms	(/ (* t 2) (+ 1 t))
67.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
83.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	2014
3	2014
2	1047
1	277
0	110

prune737.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.5b	(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `fma-udef`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
9.0ms	(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
68.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
68.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
68.0ms	(* (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)))

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	2000
4	2000
3	1233
2	454
1	203
0	96

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.5b	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.5b	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.5b	(* (hypot 1 (/ (* t 2) (+ 1 t))) (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

0.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
1.0ms	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
1.0ms	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
12.0ms	(* (hypot 1 (/ (* t 2) (+ 1 t))) (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
178.0ms	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
146.0ms	(cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
135.0ms	(* (hypot 1 (/ (* t 2) (+ 1 t))) (fabs (cbrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	2008
3	2008
2	876
1	282
0	123

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

993.0ms

8000×

body

valid