Details

sample219.0ms

Algorithm

intervals

Results

95.0ms	919×	body	80	nan
23.0ms	283×	body	80	valid

simplify14.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (* x (log y)) z) t)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite977.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

875.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
39.0ms	(+ (+ (* x (log y)) z) t)
39.0ms	(* (- b 0.5) (log c))
18.0ms	(* x (log y))

series554.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
70.0ms	(+ (+ (* x (log y)) z) t)
79.0ms	(* (- b 0.5) (log c))
48.0ms	(* x (log y))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	240	1648
1	609	1560
2	2253	1453
done	5000	1436

prune731.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

40.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
10.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

458.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
48.0ms	(* x (log y))
307.0ms	(cbrt c)
305.0ms	(cbrt c)

simplify1.0s

Counts

83 → 83

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	164	1074
1	433	918
2	1539	786
done	5000	747

prune703.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.3b	(* x (log y))
0.3b	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
0.6b	(cbrt (- c))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

56.0ms	(+ (+ (* x (log y)) z) t)
17.0ms	(* x (log y))
80.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
12.0ms	(cbrt (- c))

series844.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (+ (* x (log y)) z) t)
44.0ms	(* x (log y))
431.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
286.0ms	(cbrt (- c))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	194	1107
1	409	1071
2	1234	953
3	4745	912
done	5000	912

prune539.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
5.0b	(pow c 1/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `associate-*r/`
7×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg` `associate-+l+` `associate-+r+` `flip3--` `associate-r` `frac-add` `flip--`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `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 → 78

Calls

4 calls:

38.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
16.0ms	(* x (log y))
13.0ms	(cbrt c)
5.0ms	(pow c 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

469.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
41.0ms	(* x (log y))
232.0ms	(cbrt c)
261.0ms	(pow c 1/3)

simplify927.0ms

Counts

90 → 90

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	201	1186
1	520	1019
2	1780	859
done	5000	830

prune617.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes876.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	28
1	37	28
done	37	28

end0.0ms

sample8.7s

Algorithm

intervals

Results

4.2s	27784×	body	80	nan
1.2s	9223×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid