Details

sample35.0ms

Algorithm

intervals

Results

14.0ms	257×	body	80	valid
6.0ms	237×	body	80	nan
0.0ms	1×	body	320	valid

simplify34.1s

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	993	12
6	1564	12
7	2390	12
8	2816	12
9	3313	12
10	3819	12
11	3920	12
12	4040	12
13	4185	12
14	4339	12
15	4343	12
done	4343	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

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:

3.0ms	(- x (* (+ y 0.5) (log y)))
54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
8.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- x (* (+ y 0.5) (log y)))
52.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
50.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
240.0ms	(* (+ y 0.5) (log y))

simplify531.0ms

Counts

93 → 93

Iterations

Useful iterations: done (524.0ms)

Iter	Nodes	Cost
0	172	1294
1	452	1175
2	1472	1094
done	5002	1063

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

13.0ms	(* (log (cbrt y)) (+ y 0.5))
12.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series913.0ms

Counts

4 → 12

Calls

4 calls:

457.0ms	(* (log (cbrt y)) (+ y 0.5))
84.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
183.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify631.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	157	1356
1	449	1189
2	1935	1010
done	5001	1010

prune289.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)

series813.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
195.0ms	(cbrt (pow y 2/3))
251.0ms	(cbrt (cbrt y))
183.0ms	(pow y 2/3)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 4 (366.0ms)

Iter	Nodes	Cost
0	93	428
1	174	398
2	337	347
3	817	333
4	2610	328
done	5000	328

prune320.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (log (cbrt y)) (sqrt (+ y 0.5)))
0.4b	(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`sqrt-div` `associate-r`
12×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
6×	`cbrt-prod` `associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-l/` `log-pow` `-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

12.0ms	(* (log (cbrt y)) (sqrt (+ y 0.5)))
24.0ms	(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series941.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (log (cbrt y)) (sqrt (+ y 0.5)))
465.0ms	(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
186.0ms	(cbrt y)
193.0ms	(cbrt y)

simplify593.0ms

Counts

91 → 91

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	155	1207
1	380	993
2	1419	861
done	5001	847

prune309.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes205.0ms

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

sample834.0ms

Algorithm

intervals

Results

276.0ms	8024×	body	80	valid
220.0ms	7949×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid