Details

sample211.0ms

Algorithm

intervals

Results

86.0ms	965×	body	80	nan
24.0ms	306×	body	80	valid
0.0ms	1×	body	320	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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.7s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
9.0ms	(+ (* x (log y)) z)
27.0ms	(* (- b 0.5) (log c))
11.0ms	(* x (log y))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
104.0ms	(+ (* x (log y)) z)
91.0ms	(* (- b 0.5) (log c))
51.0ms	(* x (log y))

simplify963.0ms

Counts

99 → 99

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	217	1279
1	479	1229
2	1462	1112
done	5000	1095

prune504.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.1b	(* (- b 0.5) (log c))
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

2.0ms	(log (sqrt y))
32.0ms	(* (- b 0.5) (log c))
10.0ms	(* (log (sqrt y)) x)
10.0ms	(* (log (sqrt y)) x)

series477.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(log (sqrt y))
86.0ms	(* (- b 0.5) (log c))
148.0ms	(* (log (sqrt y)) x)
151.0ms	(* (log (sqrt y)) x)

simplify1.6s

Counts

100 → 100

Iterations

Useful iterations: 3 (871.0ms)

Iter	Nodes	Cost
0	164	910
1	335	870
2	899	753
3	2228	741
done	5001	741

prune667.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (sqrt y)) x)
0.2b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

13.0ms	(* (log (sqrt y)) x)
58.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.0s

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (log (sqrt y)) x)
443.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
233.0ms	(cbrt c)
223.0ms	(cbrt c)

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	1086
1	461	929
2	1692	793
done	5001	759

prune667.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

22.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt y) (cbrt y))
312.0ms	(cbrt y)
291.0ms	(cbrt y)
329.0ms	(cbrt y)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	39
1	39	39
done	39	39

end0.0ms

sample10.4s

Algorithm

intervals

Results

4.4s	27805×	body	80	nan
2.3s	9166×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	320	valid