Details

sample192.0ms

Algorithm

intervals

Results

77.0ms	813×	body	80	nan
24.0ms	287×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(+ (* x (log y)) z)
968.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
24.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series622.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* x (log y)) z)
408.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
82.0ms	(* (- b 0.5) (log c))
60.0ms	(* x (log y))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	241	1624
1	611	1546
2	2121	1434
done	5002	1414

prune718.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

3.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
56.0ms	(* (log (sqrt c)) (- b 0.5))
48.0ms	(* (log (sqrt c)) (- b 0.5))
19.0ms	(* x (log y))

series711.0ms

Counts

4 → 12

Calls

4 calls:

495.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
77.0ms	(* (log (sqrt c)) (- b 0.5))
82.0ms	(* (log (sqrt c)) (- b 0.5))
57.0ms	(* x (log y))

simplify2.0s

Counts

127 → 127

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	269	3337
1	860	3051
2	3864	2891
done	5000	2875

prune777.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite34.0ms

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:

24.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt y) (cbrt y))
272.0ms	(cbrt y)
247.0ms	(cbrt y)
294.0ms	(cbrt y)

simplify5.8s

Counts

85 → 85

Iterations

Useful iterations: done (5.8s)

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

prune559.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (cbrt c))) (- b 0.5))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `log-prod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`sub-neg` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

53.0ms	(* (* 2 (log (cbrt c))) (- b 0.5))
9.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series876.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (* 2 (log (cbrt c))) (- b 0.5))
59.0ms	(* x (log y))
315.0ms	(cbrt c)
218.0ms	(cbrt c)

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	151	734
1	330	698
2	1069	564
3	4666	546
done	5000	546

prune631.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes983.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample10.2s

Algorithm

intervals

Results

5.1s	28660×	body	80	nan
1.3s	9184×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid