Details

sample52.0ms

Algorithm

intervals

Results

23.0ms

330×

body

valid

simplify414.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	115
6	115
5	111
4	98
3	65
2	31
1	12
0	6

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 47

Calls

1 calls:

96.0ms

(* (* x y) (- 1.0 y))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(* (* x y) (- 1.0 y))

simplify7.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	3530
2	856
1	336
0	111

prune452.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 2 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `associate-r` `unsub-neg` `*-commutative` `flip-+`

Counts

2 → 47

Calls

2 calls:

56.0ms	(+ (* 1.0 (* x y)) (* (- y) (* x y)))
82.0ms	(* (- y) (* x y))

series211.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(+ (* 1.0 (* x y)) (* (- y) (* x y)))
49.0ms	(* (- y) (* x y))

simplify9.8s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	4573
2	876
1	231
0	79

prune514.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

129.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
54.0ms	(cbrt (* (* x y) (- 1.0 y)))
50.0ms	(cbrt (* (* x y) (- 1.0 y)))
60.0ms	(cbrt (* (* x y) (- 1.0 y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

405.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
296.0ms	(cbrt (* (* x y) (- 1.0 y)))
277.0ms	(cbrt (* (* x y) (- 1.0 y)))
289.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify6.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
3	3396
2	1111
1	441
0	174

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.9b	(cbrt (* x y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `flip3--` `add-cube-cbrt` `flip--`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

97.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
35.0ms	(cbrt (* (* x y) (- 1.0 y)))
39.0ms	(cbrt (* (* x y) (- 1.0 y)))
17.0ms	(cbrt (* x y))

series1.1s

Counts

4 → 12

Calls

4 calls:

412.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
301.0ms	(cbrt (* (* x y) (- 1.0 y)))
256.0ms	(cbrt (* (* x y) (- 1.0 y)))
131.0ms	(cbrt (* x y))

simplify6.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	3739
2	1194
1	483
0	193

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes665.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	24
3	24
2	18
1	14
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

645.0ms

10772×

body

valid