Details

sample263.0ms

Algorithm

intervals

Results

120.0ms	850×	body	80	nan
39.0ms	306×	body	80	valid

simplify13.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	388	21
4	1231	21
5	3127	21
6	4656	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

44.0ms	(* (- b 0.5) (log c))
16.0ms	(* x (log y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (- b 0.5) (log c))
42.0ms	(* x (log y))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: 3 (567.0ms)

Iter	Nodes	Cost
0	134	536
1	248	518
2	629	451
3	1604	440
done	5000	440

prune296.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `flip--`
3×	`associate-l`
2×	`sub-neg` `pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

9.0ms	(* x (log y))
58.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.0s

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (log y))
452.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
298.0ms	(cbrt c)
240.0ms	(cbrt c)

simplify992.0ms

Counts

90 → 90

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	188	1229
1	478	1127
2	1597	918
done	5000	905

prune716.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.7b	(cbrt c)
4.9b	(pow (/ 1 c) -1/3)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`log-prod`
13×	`unpow-prod-down`
12×	`associate-+r+`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `pow-exp` `flip--`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`sub-neg` `div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

18.0ms	(* x (log y))
56.0ms	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
2.0ms	(cbrt c)
14.0ms	(pow (/ 1 c) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (log y))
782.0ms	(+ (* (* 2 (log (pow (/ 1 c) -1/3))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
302.0ms	(cbrt c)
301.0ms	(pow (/ 1 c) -1/3)

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	271	1633
1	662	1432
2	2044	1166
done	5002	1112

prune885.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 b) 1.5)
0.2b	(* x (log y))
0.3b	(* (log (cbrt c)) (- (* 3 b) 1.5))
0.7b	(cbrt c)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

15.0ms	(- (* 3 b) 1.5)
9.0ms	(* x (log y))
46.0ms	(* (log (cbrt c)) (- (* 3 b) 1.5))
2.0ms	(cbrt c)

series699.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 3 b) 1.5)
76.0ms	(* x (log y))
275.0ms	(* (log (cbrt c)) (- (* 3 b) 1.5))
290.0ms	(cbrt c)

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	784
1	305	751
2	859	651
3	2734	620
done	5001	616

prune531.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	29
1	34	29
done	34	29

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.3s	27847×	body	80	nan
1.4s	9206×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid