Details

sample209.0ms

Algorithm

intervals

Results

86.0ms	843×	body	80	nan
17.0ms	35×	body	640	valid
17.0ms	175×	body	80	valid
9.0ms	10×	body	1280	valid
6.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify359.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	83	13
7	105	13
8	124	13
9	132	13
10	139	13
11	140	13
done	140	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

22.0ms	(* z (log (- 1.0 y)))
56.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
9.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* z (log (- 1.0 y)))
143.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
67.0ms	(* x (log y))
80.0ms	(log (- 1.0 y))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	209	1141
1	437	1103
2	1044	987
3	2657	953
done	5000	952

prune385.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.3b	(* x (log y))
7.9b	(* z (pow y 2))

rewrite429.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`log-prod` `add-log-exp`
17×	`*-un-lft-identity` `associate--l+`
15×	`add-cube-cbrt`
12×	`associate-+r+` `associate-r`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-+l+` `associate-l`
5×	`diff-log` `unswap-sqr`
4×	`sub-neg` `unpow-prod-down` `prod-exp` `sum-log`
2×	`associate-+r-` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `flip3--` `flip3-+` `pow-prod-down` `pow-exp` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

342.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
44.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
16.0ms	(* x (log y))
20.0ms	(* z (pow y 2))

series501.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
177.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
54.0ms	(* x (log y))
55.0ms	(* z (pow y 2))

simplify2.7s

Counts

113 → 113

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	201	2009
1	436	1885
2	1095	1769
3	4132	1724
done	5000	1718

prune609.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
7.9b	(* z (pow y 2))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
23×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 84

Calls

4 calls:

25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(* z (pow y 2))

series816.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
304.0ms	(cbrt y)
291.0ms	(cbrt y)
35.0ms	(* z (pow y 2))

simplify5.6s

Counts

96 → 96

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	145	974
1	352	861
2	982	704
3	4551	659
done	5000	604

prune852.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
7.9b	(* z (pow y 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`cbrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
13.0ms	(* z (pow y 2))

series1.4s

Counts

4 → 12

Calls

4 calls:

667.0ms	(cbrt y)
295.0ms	(cbrt y)
396.0ms	(cbrt (cbrt y))
61.0ms	(* z (pow y 2))

simplify1.5s

Counts

75 → 75

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	88	470
1	174	434
2	368	379
3	1010	368
done	5000	368

prune527.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	49
1	48	49
done	48	49

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	24189×	body	80	nan
561.0ms	5553×	body	80	valid
421.0ms	901×	body	640	valid
329.0ms	388×	body	1280	valid
243.0ms	731×	body	320	valid
74.0ms	458×	body	160	valid