Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

330×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	3148
11	1557
10	566
9	266
8	150
7	91
6	69
5	59
4	47
3	31
2	17
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* (- y x) z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

28.0ms	(* (- y x) z)
11.0ms	(+ x (* (- y x) z))

series83.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) z)
52.0ms	(+ x (* (- y x) z))

simplify1.9s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	2416
2	487
1	169
0	70

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y x) z))
0.0b	(sqrt (+ x (* (- y x) z)))
0.0b	(sqrt (+ x (* (- y x) z)))
0.3b	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

10.0ms	(+ x (* (- y x) z))
6.0ms	(sqrt (+ x (* (- y x) z)))
6.0ms	(sqrt (+ x (* (- y x) z)))
26.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

series734.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (* (- y x) z))
307.0ms	(sqrt (+ x (* (- y x) z)))
325.0ms	(sqrt (+ x (* (- y x) z)))
44.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5028
3	2541
2	707
1	270
0	112

prune395.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b	(* (- y x) (sqrt z))
0.1b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

9.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
30.0ms	(* (- y x) (sqrt z))
49.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
63.0ms	(* (- y x) (sqrt z))
49.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	3495
2	994
1	296
0	114

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `associate-l`
14×	`sqrt-div`
12×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-cbrt-cube` `associate-*l/` `add-exp-log`
8×	`add-cube-cbrt`
7×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 71

Calls

3 calls:

8.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
22.0ms	(* (sqrt (- y x)) z)
55.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series190.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
107.0ms	(* (sqrt (- y x)) z)
40.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify2.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	3528
2	856
1	319
0	125

prune289.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample837.0ms

Algorithm

intervals

Results

613.0ms

10101×

body

valid