Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	280×	body	80	valid
9.0ms	314×	body	80	nan

simplify865.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	709	12
10	736	12
11	737	12
done	737	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite65.0ms

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×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

16.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
39.0ms	(* y (+ (- 1.0 z) (log z)))

series296.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ (- 1.0 z) (log z))
60.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
73.0ms	(* y (+ (- 1.0 z) (log z)))

simplify513.0ms

Counts

70 → 70

Iterations

Useful iterations: done (511.0ms)

Iter	Nodes	Cost
0	132	839
1	351	775
2	1239	704
done	5000	703

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(+ (* x 0.5) (* (- 1.0 z) y))
0.1b	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
0.2b	(* (log z) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

10.0ms	(* (- 1.0 z) y)
3.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
12.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
3.0ms	(* (log z) y)

series190.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- 1.0 z) y)
40.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
59.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
62.0ms	(* (log z) y)

simplify511.0ms

Counts

77 → 77

Iterations

Useful iterations: done (509.0ms)

Iter	Nodes	Cost
0	135	902
1	358	792
2	1287	744
done	5001	732

prune172.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

75.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
12.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
60.0ms	(cbrt (+ (- 1.0 z) (log z)))
61.0ms	(cbrt (+ (- 1.0 z) (log z)))
55.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify660.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	237	3448
1	611	3118
2	2193	2976
done	5001	2976

prune359.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))
0.2b	(* y (+ (- 1.0 z) (log z)))
0.3b	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

64×	`pow1`
30×	`sqrt-pow1`
28×	`*-un-lft-identity`
23×	`pow-prod-down`
20×	`associate-*r/`
18×	`add-sqr-sqrt` `associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt`
11×	`pow1/2`
10×	`add-exp-log` `associate-l` `pow-prod-up` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`frac-times` `swap-sqr` `log-pow` `distribute-lft-out--` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 122

Calls

4 calls:

10.0ms	(sqrt (* y (+ (- 1.0 z) (log z))))
38.0ms	(* y (+ (- 1.0 z) (log z)))
40.0ms	(* y (+ (- 1.0 z) (log z)))
79.0ms	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (* y (+ (- 1.0 z) (log z))))
81.0ms	(* y (+ (- 1.0 z) (log z)))
79.0ms	(* y (+ (- 1.0 z) (log z)))
665.0ms	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	307	2478
1	825	1967
2	3502	1801
done	5001	1796

prune350.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes181.0ms

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	11	12
1	15	12
done	15	12

end0.0ms

sample992.0ms

Algorithm

intervals

Results

339.0ms	9157×	body	80	valid
267.0ms	9256×	body	80	nan