Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	303×	body	80	nan

simplify143.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

9.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* x (log y)) z)
43.0ms	(* x (log y))

simplify1.7s

Counts

49 → 49

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	90	402
1	172	381
2	329	351
3	619	332
4	2453	332
done	5001	332

prune101.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

8.0ms	(* (log (cbrt y)) x)
22.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series617.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (log (cbrt y)) x)
131.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
177.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify3.2s

Counts

66 → 66

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune183.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`pow1`
9×	`times-frac` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-l` `sum-log` `*-commutative` `flip-+` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

19.0ms	(* (* 2 (log (pow (/ 1 y) -1/3))) x)
18.0ms	(+ (* (* 2 (log (pow (/ 1 y) -1/3))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
9.0ms	(pow (/ 1 y) -1/3)

series683.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (* 2 (log (pow (/ 1 y) -1/3))) x)
212.0ms	(+ (* (* 2 (log (pow (/ 1 y) -1/3))) x) (* (log (cbrt y)) x))
180.0ms	(cbrt y)
178.0ms	(pow (/ 1 y) -1/3)

simplify821.0ms

Counts

85 → 85

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	175	1047
1	417	864
2	1369	693
done	5001	602

prune222.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

8.0ms	(* (log (pow (/ 1 y) -1/3)) x)
21.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
1.0ms	(cbrt y)
10.0ms	(pow (/ 1 y) -1/3)

series675.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (log (pow (/ 1 y) -1/3)) x)
215.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
181.0ms	(cbrt y)
175.0ms	(pow (/ 1 y) -1/3)

simplify832.0ms

Counts

86 → 86

Iterations

Useful iterations: done (830.0ms)

Iter	Nodes	Cost
0	167	998
1	380	824
2	1154	650
done	5000	561

prune218.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample853.0ms

Algorithm

intervals

Results

227.0ms	8038×	body	80	valid
158.0ms	8242×	body	80	nan
0.0ms	1×	body	640	valid