Details

sample242.0ms

Algorithm

intervals

Results

74.0ms	781×	body	80	nan
28.0ms	26×	body	320	valid
18.0ms	172×	body	80	valid
17.0ms	29×	body	640	valid
16.0ms	14×	body	1280	valid
4.0ms	17×	body	160	valid

simplify557.0ms

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	90	13
7	187	13
8	611	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

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)))
0.3b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite124.0ms

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:

56.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
28.0ms	(* z (log (- 1.0 y)))
26.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
101.0ms	(* z (log (- 1.0 y)))
49.0ms	(* x (log y))
68.0ms	(log (- 1.0 y))

simplify808.0ms

Counts

98 → 98

Iterations

Useful iterations: done (803.0ms)

Iter	Nodes	Cost
0	209	1141
1	470	1103
2	1493	985
done	5000	966

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.3b	(* x (log y))
7.1b	(* z (pow y 2))

rewrite389.0ms

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:

299.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
57.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
16.0ms	(* x (log y))
14.0ms	(* z (pow y 2))

series512.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
188.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
40.0ms	(* x (log y))
39.0ms	(* z (pow y 2))

simplify758.0ms

Counts

113 → 113

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	201	2009
1	468	1885
2	1572	1771
done	5000	1726

prune620.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
7.1b	(* z (pow y 2))

rewrite25.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(* z (pow y 2))

series817.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt y)
248.0ms	(cbrt y)
297.0ms	(cbrt y)
39.0ms	(* z (pow y 2))

simplify3.2s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	70	427
1	152	392
2	551	341
3	3624	328
done	5001	328

prune583.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
5.0b	(pow y 1/3)
7.1b	(* z (pow y 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`associate-r`
7×	`unpow-prod-down`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `unpow2`
1×	`pow-pow` `unpow1/3` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)
31.0ms	(* z (pow y 2))

series776.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt y)
231.0ms	(cbrt y)
282.0ms	(pow y 1/3)
49.0ms	(* z (pow y 2))

simplify2.5s

Counts

79 → 79

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	97	480
1	239	403
2	799	359
3	3916	344
done	5002	340

prune441.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	44
1	42	44
done	42	44

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.1s	25084×	body	80	nan
539.0ms	5517×	body	80	valid
435.0ms	414×	body	1280	valid
424.0ms	888×	body	640	valid
202.0ms	749×	body	320	valid
79.0ms	470×	body	160	valid