Details

sample78.0ms

Algorithm

intervals

Results

26.0ms	289×	body	80	valid
23.0ms	312×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

32.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
26.0ms	(+ (- 1.0 z) (log z))
111.0ms	(* y (+ (- 1.0 z) (log z)))

series848.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
306.0ms	(+ (- 1.0 z) (log z))
452.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5005
2	1522
1	365
0	129

prune350.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.3b	(* y (log z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-log-exp`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+r+` `associate-l`
3×	`sum-log` `insert-posit16`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip3--` `log-pow` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

34.0ms	(* y (- 1.0 z))
52.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
20.0ms	(* y (log z))

series153.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (- 1.0 z))
69.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
46.0ms	(* y (log z))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1110
1	366
0	147

prune322.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z)))) (* y (log (sqrt z))))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z))))
0.3b	(* y (log (sqrt z)))
0.3b	(* y (log (sqrt z)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
28×	`add-sqr-sqrt`
24×	`distribute-rgt-in` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt` `sqrt-prod`
18×	`add-log-exp`
12×	`pow1` `associate-r`
9×	`sum-log`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l` `log-pow`
4×	`insert-posit16`
2×	`+-commutative` `associate-+l+` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

119.0ms	(+ (+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z)))) (* y (log (sqrt z))))
34.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z))))
10.0ms	(* y (log (sqrt z)))
11.0ms	(* y (log (sqrt z)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z)))) (* y (log (sqrt z))))
80.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log (sqrt z))))
89.0ms	(* y (log (sqrt z)))
92.0ms	(* y (log (sqrt z)))

simplify1.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	1486
1	463
0	180

prune666.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

22.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
1.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))
3.0ms	(cbrt (sqrt z))

series898.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
237.0ms	(cbrt (sqrt z))
195.0ms	(cbrt (sqrt z))
240.0ms	(cbrt (sqrt z))

simplify2.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5013
4	4648
3	1135
2	421
1	170
0	80

prune560.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample2.1s

Algorithm

intervals

Results

979.0ms	9192×	body	80	valid
665.0ms	9386×	body	80	nan