Details

sample128.0ms

Algorithm

intervals

Results

50.0ms	900×	body	80	nan
18.0ms	299×	body	80	valid

simplify7.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	358	21
4	1139	21
5	2745	21
6	4109	21
done	5000	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite304.0ms

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:

15.0ms	(+ (+ (* x (log y)) z) t)
271.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ (* x (log y)) z) t)
238.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
59.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify692.0ms

Counts

105 → 105

Iterations

Useful iterations: done (689.0ms)

Iter	Nodes	Cost
0	240	1648
1	608	1560
2	2124	1457
done	5000	1455

prune427.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite23.0ms

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:

4.0ms	(* x (log y))
15.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series695.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (log y))
305.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
181.0ms	(cbrt c)
172.0ms	(cbrt c)

simplify651.0ms

Counts

90 → 90

Iterations

Useful iterations: done (648.0ms)

Iter	Nodes	Cost
0	188	1229
1	470	1127
2	1526	880
done	5000	866

prune494.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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 (pow (/ 1 c) -1/3))))
0.6b	(cbrt c)
5.0b	(pow (/ 1 c) -1/3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
39×	`unpow-prod-down`
35×	`add-sqr-sqrt`
34×	`associate-+r+`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
22×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-exp-log`
9×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `pow-exp` `flip--`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `div-inv` `sqr-pow`
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-+` `inv-pow` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

4.0ms	(* x (log y))
23.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
0.0ms	(cbrt c)
4.0ms	(pow (/ 1 c) -1/3)

series930.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (log y))
529.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
178.0ms	(cbrt c)
178.0ms	(pow (/ 1 c) -1/3)

simplify1.0s

Counts

133 → 133

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	322	2135
1	767	1782
2	2187	1448
done	5000	1446

prune722.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt c)
1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (cbrt c))

series915.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt c)
243.0ms	(cbrt (cbrt c))
246.0ms	(cbrt (cbrt c))
245.0ms	(cbrt (cbrt c))

simplify2.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	42	389
1	75	370
2	147	340
3	306	328
4	845	328
5	3485	328
done	5000	328

prune398.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes648.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	41
1	41	41
done	41	41

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27523×	body	80	nan
587.0ms	9221×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid