Details

sample109.0ms

Algorithm

intervals

Results

41.0ms	867×	body	80	nan
10.0ms	37×	body	640	valid
9.0ms	172×	body	80	valid
7.0ms	12×	body	1280	valid
3.0ms	18×	body	320	valid
2.0ms	20×	body	160	valid

simplify138.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	29	13
3	35	13
4	41	13
5	56	13
6	83	13
7	119	13
8	145	13
9	152	13
10	169	13
11	173	13
done	173	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite36.0ms

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:

16.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series289.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
77.0ms	(* z (log (- 1.0 y)))
51.0ms	(* x (log y))
52.0ms	(log (- 1.0 y))

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	209	1141
1	437	1103
2	1079	985
3	2878	952
done	5000	950

prune330.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)))))
0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.2b	(* x (log y))
8.0b	(* z (pow y 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`log-prod`
17×	`add-cbrt-cube`
16×	`associate--l+`
12×	`associate-+r+` `div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `associate-l` `add-log-exp`
8×	`pow-to-exp` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`associate-+l+` `cbrt-unprod` `unswap-sqr`
3×	`sub-neg` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down` `sum-log`
1×	`+-commutative` `associate-+r-` `flip3-+` `diff-log` `associate-*r/` `log-pow` `flip-+` `div-inv`

Counts

4 → 125

Calls

4 calls:

14.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
14.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms	(* x (log y))
10.0ms	(* z (pow y 2))

series324.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
71.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
53.0ms	(* x (log y))
38.0ms	(* z (pow y 2))

simplify871.0ms

Counts

137 → 137

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	238	1902
1	543	1768
2	1613	1589
done	5000	1583

prune526.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
8.0b	(* z (pow y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
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 → 60

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series653.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt y)
209.0ms	(cbrt y)
202.0ms	(cbrt y)
39.0ms	(* z (pow y 2))

simplify3.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	70	427
1	142	392
2	347	339
3	879	328
4	3815	328
done	5001	328

prune363.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
8.0b	(* z (pow y 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
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 → 60

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* z (pow y 2))

series643.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt x)
210.0ms	(cbrt x)
198.0ms	(cbrt x)
34.0ms	(* z (pow y 2))

simplify2.7s

Counts

72 → 72

Iterations

Useful iterations: 4 (961.0ms)

Iter	Nodes	Cost
0	74	427
1	146	392
2	354	341
3	841	332
4	3540	329
done	5001	329

prune328.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes166.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	37
1	34	37
done	34	37

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	23984×	body	80	nan
286.0ms	5578×	body	80	valid
245.0ms	844×	body	640	valid
227.0ms	381×	body	1280	valid
132.0ms	755×	body	320	valid
52.0ms	474×	body	160	valid