Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
10.0ms	293×	body	80	nan
0.0ms	1×	body	640	valid

simplify17.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)
0.2b	(* (+ y 0.5) (log y))

rewrite275.0ms

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:

177.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
8.0ms	(- x (* (+ y 0.5) (log y)))
36.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
51.0ms	(* (+ y 0.5) (log y))

series615.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
63.0ms	(- x (* (+ y 0.5) (log y)))
57.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
425.0ms	(* (+ y 0.5) (log y))

simplify929.0ms

Counts

93 → 93

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	172	1294
1	445	1175
2	1418	1094
done	5001	1058

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
54.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
23.0ms	(* (+ y 0.5) (log y))

series503.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- x (* (+ y 0.5) (log y)))
97.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
356.0ms	(* (+ y 0.5) (log y))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	172	1315
1	496	1190
2	1785	1116
done	5001	1110

prune282.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

34.0ms	(* (+ y 0.5) (log (cbrt y)))
49.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

704.0ms	(* (+ y 0.5) (log (cbrt y)))
133.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
285.0ms	(cbrt y)
304.0ms	(cbrt y)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	184	1745
1	535	1624
2	2156	1339
done	5000	1322

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

26.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
30.0ms	(* 2/3 (log y))
3.0ms	(cbrt (sqrt y))
3.0ms	(cbrt (sqrt y))

series1.3s

Counts

4 → 12

Calls

4 calls:

481.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
223.0ms	(* 2/3 (log y))
295.0ms	(cbrt (sqrt y))
261.0ms	(cbrt (sqrt y))

simplify1.9s

Counts

91 → 91

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	145	834
1	307	773
2	652	690
3	1599	671
done	5001	660

prune461.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	7956×	body	80	nan
635.0ms	8034×	body	80	valid
1.0ms	2×	body	640	valid