Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	251×	body	80	nan

simplify10.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	60	12
3	163	12
4	484	12
5	874	12
6	1423	12
7	1988	12
8	2158	12
9	2260	12
10	2457	12
11	2553	12
12	2653	12
13	2791	12
14	2901	12
15	2905	12
done	2905	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

51.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
8.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
14.0ms	(* (+ y 0.5) (log y))

series390.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(- x (* (+ y 0.5) (log y)))
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
257.0ms	(* (+ y 0.5) (log y))

simplify601.0ms

Counts

93 → 93

Iterations

Useful iterations: done (598.0ms)

Iter	Nodes	Cost
0	172	1294
1	439	1175
2	1335	1094
done	5002	1063

prune207.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

14.0ms	(* (+ y 0.5) (log (cbrt y)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

442.0ms	(* (+ y 0.5) (log (cbrt y)))
767.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
184.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify829.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	167	1466
1	474	1331
2	1762	1090
done	5000	1090

prune335.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
0.3b	(* 2/3 (log y))
0.5b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate-+l+`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`flip3-+` `associate-*r/` `flip-+` `add-log-exp`
4×	`associate-*l/` `frac-add`
3×	`cbrt-prod` `log-pow`
2×	`associate-+r+` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (log (cbrt y)) (+ y 0.5))
11.0ms	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
4.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)

series2.0s

Counts

4 → 12

Calls

4 calls:

439.0ms	(* (log (cbrt y)) (+ y 0.5))
1.2s	(+ (* (+ y 0.5) (* 2/3 (log y))) (* (log (cbrt y)) (+ y 0.5)))
143.0ms	(* 2/3 (log y))
175.0ms	(cbrt y)

simplify929.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (264.0ms)

Iter	Nodes	Cost
0	216	1429
1	570	1229
2	2047	1040
done	5001	1040

prune351.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `associate-r/` `associate-l/`
1×	`flip3-+` `flip-+`

Counts

4 → 44

Calls

4 calls:

13.0ms	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series861.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (* 3 (* (+ y 0.5) (log (cbrt y)))))
186.0ms	(cbrt y)
187.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify1.2s

Counts

56 → 56

Iterations

Useful iterations: 3 (455.0ms)

Iter	Nodes	Cost
0	113	571
1	265	534
2	765	486
3	2719	405
done	5001	405

prune239.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

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	10	12
1	13	12
done	13	12

end0.0ms

sample850.0ms

Algorithm

intervals

Results

277.0ms	8036×	body	80	valid
230.0ms	8155×	body	80	nan