Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	258×	body	80	valid
12.0ms	257×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite243.0ms

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:

184.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
25.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms	(* (+ y 0.5) (log y))

series491.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
73.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
327.0ms	(* (+ y 0.5) (log y))

simplify726.0ms

Counts

72 → 72

Iterations

Useful iterations: done (724.0ms)

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

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)

rewrite84.0ms

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:

32.0ms	(* (log (cbrt y)) (+ y 0.5))
46.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.2s

Counts

4 → 12

Calls

4 calls:

555.0ms	(* (log (cbrt y)) (+ y 0.5))
1.1s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
285.0ms	(cbrt y)
255.0ms	(cbrt y)

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

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

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

123.0ms	(- (+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y) z)
25.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
43.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y) z)
114.0ms	(+ (- x (* (log (cbrt y)) (+ (* 3 y) 1.5))) y)
600.0ms	(* (log (cbrt y)) (+ (* 3 y) 1.5))
236.0ms	(cbrt y)

simplify997.0ms

Counts

82 → 82

Iterations

Useful iterations: done (994.0ms)

Iter	Nodes	Cost
0	149	1277
1	414	1211
2	1770	1107
done	5000	1102

prune332.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt y))) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (pow y 1/3)) (+ y 0.5)))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `-un-lft-identity` `associate-r/`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-r` `frac-add`
3×	`cbrt-prod` `distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `distribute-lft-out` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

54.0ms	(* (* 2 (log (cbrt y))) (+ y 0.5))
39.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (pow y 1/3)) (+ y 0.5)))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series2.6s

Counts

4 → 12

Calls

4 calls:

770.0ms	(* (* 2 (log (cbrt y))) (+ y 0.5))
1.4s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (pow y 1/3)) (+ y 0.5)))
225.0ms	(cbrt y)
232.0ms	(pow y 1/3)

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	183	1273
1	586	1086
2	3365	911
done	5000	900

prune322.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes225.0ms

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 (0.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

747.0ms	8226×	body	80	nan
598.0ms	8044×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid