Details

sample231.0ms

Algorithm

intervals

Results

87.0ms	850×	body	80	nan
30.0ms	306×	body	80	valid

simplify14.3s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:

48.0ms	(* (- b 0.5) (log c))
19.0ms	(* x (log y))

series181.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (- b 0.5) (log c))
79.0ms	(* x (log y))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: 3 (645.0ms)

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

prune415.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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)

rewrite84.0ms

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:

18.0ms	(* x (log y))
45.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
13.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (log y))
407.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
281.0ms	(cbrt c)
305.0ms	(cbrt c)

simplify975.0ms

Counts

90 → 90

Iterations

Useful iterations: done (973.0ms)

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

prune770.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-prod`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `flip--`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`sub-neg`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

18.0ms	(* x (log y))
63.0ms	(+ (* (* 2 (log (pow c 1/3))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
2.0ms	(cbrt c)
5.0ms	(pow c 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (log y))
561.0ms	(+ (* (* 2 (log (pow c 1/3))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
326.0ms	(cbrt c)
282.0ms	(pow c 1/3)

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	225	1346
1	559	1170
2	1844	971
done	5000	954

prune751.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt c)) (cbrt (sqrt c)))
0.6b	(cbrt (sqrt c))
0.6b	(cbrt (sqrt c))
0.7b	(cbrt c)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

49.0ms	(* (cbrt (sqrt c)) (cbrt (sqrt c)))
3.0ms	(cbrt (sqrt c))
3.0ms	(cbrt (sqrt c))
2.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (sqrt c)) (cbrt (sqrt c)))
255.0ms	(cbrt (sqrt c))
255.0ms	(cbrt (sqrt c))
315.0ms	(cbrt c)

simplify3.7s

Counts

107 → 107

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	89	981
1	166	867
2	421	805
3	1072	761
4	3368	747
done	5000	719

prune782.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	33
1	39	33
done	39	33

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.6s	27847×	body	80	nan
1.6s	9206×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid