Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	258×	body	80	valid
19.0ms	280×	body	80	nan

simplify18.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

44.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
38.0ms	(* (+ y 0.5) (log y))

series388.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
331.0ms	(* (+ y 0.5) (log y))

simplify2.3s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	113	631
1	293	596
2	888	523
3	3400	510
done	5002	510

prune176.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite65.0ms

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:

24.0ms	(* (+ y 0.5) (log (cbrt y)))
36.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.3s

Counts

4 → 12

Calls

4 calls:

588.0ms	(* (+ y 0.5) (log (cbrt y)))
1.3s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
220.0ms	(cbrt y)
215.0ms	(cbrt y)

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	1466
1	475	1331
2	1945	1102
done	5001	1096

prune478.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.1b	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
0.3b	(* (log (cbrt y)) (+ (* 3 y) 1.5))
0.6b	(cbrt y)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

3.0ms	(log (cbrt y))
38.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
41.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

360.0ms	(log (cbrt y))
142.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
706.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
270.0ms	(cbrt y)

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	927
1	328	883
2	1153	783
done	5000	754

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow y 2/3))
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
6.2b	(pow y 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (pow y 2/3))
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
3.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (pow y 2/3))
224.0ms	(cbrt y)
341.0ms	(cbrt (cbrt y))
302.0ms	(pow y 2/3)

simplify1.7s

Counts

69 → 69

Iterations

Useful iterations: 4 (638.0ms)

Iter	Nodes	Cost
0	93	428
1	171	383
2	320	347
3	730	333
4	2637	328
done	5001	328

prune326.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

833.0ms	8056×	body	80	valid
527.0ms	8340×	body	80	nan
0.0ms	1×	body	320	valid