Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	297×	body	80	valid
7.0ms	261×	body	80	nan

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6
done	1257	6

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))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite125.0ms

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:

27.0ms	(+ (- 1.0 z) (log z))
20.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
76.0ms	(* y (+ (- 1.0 z) (log z)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
64.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370
done	5002	370

prune141.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

445.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
162.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series879.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
342.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
181.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify39.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546
done	5002	546

prune266.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

20.0ms	(* y (- 1.0 z))
9.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
33.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
8.0ms	(* y (log z))

series179.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (- 1.0 z))
38.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
68.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
38.0ms	(* y (log z))

simplify55.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	405	529
1	1830	482
2	5002	471
done	5002	471

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series746.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt z) (cbrt z))
190.0ms	(cbrt z)
176.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify92.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune273.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes177.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13
done	22	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

319.0ms	9127×	body	80	valid
245.0ms	8983×	body	80	nan