Details

sample72.0ms

Algorithm

intervals

Results

19.0ms	259×	body	80	nan
17.0ms	259×	body	80	valid

simplify278.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

75.0ms	(- (- (* x (log y)) z) y)
16.0ms	(- (* x (log y)) z)
12.0ms	(* x (log y))

series198.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (- (* x (log y)) z) y)
77.0ms	(- (* x (log y)) z)
69.0ms	(* x (log y))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	126	705
1	258	666
2	545	629
3	1407	596
done	5001	596

prune338.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)

rewrite41.0ms

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:

10.0ms	(* (log (cbrt y)) x)
28.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (log (cbrt y)) x)
202.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
342.0ms	(cbrt y)
283.0ms	(cbrt y)

simplify4.9s

Counts

66 → 66

Iterations

Useful iterations: done (4.9s)

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

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)
5.1b	(pow (/ 1 y) -1/3)

rewrite75.0ms

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:

33.0ms	(* (* 2 (log (pow (/ 1 y) -1/3))) x)
29.0ms	(+ (* (* 2 (log (pow (/ 1 y) -1/3))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
10.0ms	(pow (/ 1 y) -1/3)

series933.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (* 2 (log (pow (/ 1 y) -1/3))) x)
285.0ms	(+ (* (* 2 (log (pow (/ 1 y) -1/3))) x) (* (log (cbrt y)) x))
227.0ms	(cbrt y)
267.0ms	(pow (/ 1 y) -1/3)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

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

prune314.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
0.0b	(log (* (cbrt -1) (cbrt (- y))))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.6b	(cbrt (- y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

37.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
14.0ms	(log (* (cbrt -1) (cbrt (- y))))
54.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
2.0ms	(cbrt (- y))

series1.2s

Counts

4 → 12

Calls

4 calls:

248.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
431.0ms	(log (* (cbrt -1) (cbrt (- y))))
236.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
304.0ms	(cbrt (- y))

simplify2.5s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	121	955
1	259	891
2	835	790
3	3612	767
done	5000	767

prune216.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes128.0ms

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

sample1.7s

Algorithm

intervals

Results

404.0ms	8026×	body	80	valid
320.0ms	7947×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid