Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
6.0ms	237×	body	80	nan
0.0ms	1×	body	320	valid

simplify15.8s

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	491	12
5	1152	12
6	1851	12
7	2616	12
8	2807	12
9	3007	12
10	3220	12
11	4538	12
done	5000	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)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite80.0ms

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:

3.0ms	(- x (* (+ y 0.5) (log y)))
52.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
14.0ms	(* (+ y 0.5) (log y))

series367.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (* (+ y 0.5) (log y)))
52.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms	(* (+ y 0.5) (log y))

simplify526.0ms

Counts

93 → 93

Iterations

Useful iterations: done (523.0ms)

Iter	Nodes	Cost
0	172	1294
1	452	1175
2	1474	1094
done	5000	1063

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite30.0ms

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:

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

series874.0ms

Counts

4 → 12

Calls

4 calls:

433.0ms	(* (+ y 0.5) (log (cbrt y)))
82.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
183.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify780.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	184	1745
1	519	1628
2	2160	1297
done	5001	1297

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
5.9b	(pow y 2/3)

rewrite5.0ms

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:

0.0ms	(cbrt y)
1.0ms	(cbrt (pow y 2/3))
1.0ms	(cbrt (cbrt y))
1.0ms	(pow y 2/3)

series782.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
182.0ms	(cbrt (pow y 2/3))
245.0ms	(cbrt (cbrt y))
176.0ms	(pow y 2/3)

simplify777.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (212.0ms)

Iter	Nodes	Cost
0	93	428
1	174	398
2	429	347
3	1417	333
done	5000	333

prune318.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series872.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
190.0ms	(cbrt y)
251.0ms	(cbrt (cbrt y))
249.0ms	(cbrt (cbrt y))

simplify550.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	42	346
1	75	330
2	150	300
3	372	288
4	1226	288
done	5000	288

prune284.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample815.0ms

Algorithm

intervals

Results

273.0ms	8024×	body	80	valid
213.0ms	7949×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid