Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	290×	body	80	valid
18.0ms	310×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3816
6	2185
5	878
4	312
3	107
2	51
1	25
0	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite150.0ms

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:

38.0ms	(+ (- 1.0 z) (log z))
29.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
81.0ms	(* y (+ (- 1.0 z) (log z)))

series442.0ms

Counts

3 → 9

Calls

3 calls:

259.0ms	(+ (- 1.0 z) (log z))
78.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
105.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1670
1	365
0	129

prune335.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.0b	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
0.2b	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

rewrite517.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`distribute-lft-out`
26×	`pow1`
20×	`log-pow`
14×	`associate-+r+`
13×	`associate-r` `add-log-exp`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt` `distribute-lft-out--`
8×	`sum-log`
6×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`+-commutative` `associate-+l+` `associate-l` `associate-+l-`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-*r/`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

88.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
31.0ms	(+ (- 1.0 z) (log (sqrt z)))
97.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
298.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
72.0ms	(+ (- 1.0 z) (log (sqrt z)))
93.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
136.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2680
1	538
0	184

prune540.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite654.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
58×	`distribute-lft-out`
33×	`pow1`
27×	`log-pow`
25×	`associate-r`
11×	`add-sqr-sqrt`
10×	`distribute-lft-out--`
9×	`cbrt-prod` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

650.0ms	(* y (+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

242.0ms	(* y (+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z))))
275.0ms	(cbrt z)
312.0ms	(cbrt z)
289.0ms	(cbrt z)

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1215
1	257
0	89

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1/3` `insert-posit16` `add-log-exp`
3×	`associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

13.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series914.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (log (cbrt z)) y)
252.0ms	(cbrt z)
243.0ms	(cbrt z)
253.0ms	(cbrt z)

simplify3.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4386
2	513
1	125
0	62

prune440.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes546.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	9157×	body	80	nan
1.1s	9184×	body	80	valid