Details

sample100.0ms

Algorithm

intervals

Results

39.0ms	823×	body	80	nan
9.0ms	186×	body	80	valid
7.0ms	12×	body	1280	valid
6.0ms	22×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify130.0ms

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: 7.9b

localize11.0ms

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))
5.2b	(log (- 1.0 y))

rewrite31.0ms

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))
2.0ms	(log (- 1.0 y))

series233.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
65.0ms	(* z (log (- 1.0 y)))
36.0ms	(* x (log y))
46.0ms	(log (- 1.0 y))

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

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

prune262.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate--l+`
10×	`associate-+r+` `associate-r`
9×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `associate-l`
5×	`add-log-exp`
4×	`sub-neg`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 85

Calls

3 calls:

6.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
26.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms	(* x (log y))

series267.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
101.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms	(* x (log y))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: 3 (454.0ms)

Iter	Nodes	Cost
0	172	1731
1	364	1647
2	915	1581
3	3265	1508
done	5000	1508

prune309.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
181.0ms	(cbrt y)
181.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify3.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune396.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow y 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series752.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
188.0ms	(cbrt y)
177.0ms	(pow y 1/3)

simplify1.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (459.0ms)

Iter	Nodes	Cost
0	89	577
1	173	446
2	496	384
3	1936	359
done	5000	359

prune410.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes150.0ms

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	30	39
1	39	39
done	39	39

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	24472×	body	80	nan
286.0ms	5489×	body	80	valid
272.0ms	918×	body	640	valid
248.0ms	409×	body	1280	valid
134.0ms	755×	body	320	valid
50.0ms	460×	body	160	valid