Details

sample95.0ms

Algorithm

intervals

Results

33.0ms	283×	body	80	nan
21.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	188	12
4	1000	12
done	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

215.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
35.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
37.0ms	(* (+ y 0.5) (log y))

series650.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
84.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
470.0ms	(* (+ y 0.5) (log y))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	148	1008
1	389	941
2	1453	866
done	5001	853

prune471.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

36.0ms	(* (log (cbrt y)) (+ y 0.5))
57.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series3.2s

Counts

4 → 12

Calls

4 calls:

825.0ms	(* (log (cbrt y)) (+ y 0.5))
1.6s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
390.0ms	(cbrt y)
377.0ms	(cbrt y)

simplify2.0s

Counts

79 → 79

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	141	1106
1	433	969
2	2331	805
done	5002	777

prune769.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
6.0b	(pow y 2/3)

rewrite17.0ms

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 y)
4.0ms	(cbrt (pow y 2/3))
3.0ms	(cbrt (cbrt y))
6.0ms	(pow y 2/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

404.0ms	(cbrt y)
399.0ms	(cbrt (pow y 2/3))
529.0ms	(cbrt (cbrt y))
372.0ms	(pow y 2/3)

simplify4.2s

Counts

69 → 69

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	93	428
1	199	383
2	667	347
3	2964	333
done	5001	329

prune695.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite95.0ms

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))
41.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
47.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
2.0ms	(cbrt y)

series1.9s

Counts

4 → 12

Calls

4 calls:

525.0ms	(log (cbrt y))
160.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
830.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
335.0ms	(cbrt y)

simplify1.2s

Counts

79 → 79

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	126	927
1	348	891
2	1482	785
done	5000	780

prune534.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes456.0ms

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

sample3.0s

Algorithm

intervals

Results

1.4s	8032×	body	80	valid
646.0ms	7975×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid