Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

337×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	44	7
4	57	7
done	57	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- 1.0 (* x y))
45.0ms	(* x (- 1.0 (* x y)))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 3 (339.0ms)

Iter	Nodes	Cost
0	81	616
1	181	607
2	671	532
3	3296	511
done	5000	511

prune112.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (+ (fma x (- y) 1.0) (* y (* x 0))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* x (+ (fma x (- y) 1.0) (* y (* x 0))))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* x (+ (fma x (- y) 1.0) (* y (* x 0))))

simplify1.9s

Counts

27 → 27

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	57	449
1	166	380
2	835	266
done	5000	230

prune67.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt (* (- 1.0 (* y x)) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

11.0ms	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
3.0ms	(cbrt (* (- 1.0 (* y x)) x))
3.0ms	(cbrt (* (- 1.0 (* y x)) x))
3.0ms	(cbrt (* (- 1.0 (* y x)) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
248.0ms	(cbrt (* (- 1.0 (* y x)) x))
240.0ms	(cbrt (* (- 1.0 (* y x)) x))
244.0ms	(cbrt (* (- 1.0 (* y x)) x))

simplify521.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	179	2158
1	470	1975
2	1744	1823
done	5000	1823

prune269.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (- 1.0 (* y x))) (cbrt x)) (cbrt (* (- 1.0 (* y x)) x)))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

23.0ms	(* (* (cbrt (- 1.0 (* y x))) (cbrt x)) (cbrt (* (- 1.0 (* y x)) x)))
3.0ms	(cbrt (* (- 1.0 (* y x)) x))
3.0ms	(cbrt (* (- 1.0 (* y x)) x))
1.0ms	(cbrt x)

series938.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (* (cbrt (- 1.0 (* y x))) (cbrt x)) (cbrt (* (- 1.0 (* y x)) x)))
241.0ms	(cbrt (* (- 1.0 (* y x)) x))
250.0ms	(cbrt (* (- 1.0 (* y x)) x))
173.0ms	(cbrt x)

simplify593.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	202	1760
1	552	1673
2	2024	1547
done	5000	1547

prune302.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
done	14	13

end0.0ms

sample344.0ms

Algorithm

intervals

Results

188.0ms

10690×

body

valid