Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	344	21
5	598	21
6	951	21
7	1688	21
8	3191	21
9	4792	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

31.0ms	(* (+ t y) a)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
99.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
180.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series944.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ t y) a)
77.0ms	(+ (* (+ x y) z) (* (+ t y) a))
134.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
706.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	177	2307
1	520	2201
2	2127	2077
done	5002	2061

prune332.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

205.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
106.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
157.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

782.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
79.0ms	(+ (* (+ x y) z) (* (+ t y) a))
132.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
141.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify1.4s

Counts

188 → 188

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	262	6527
1	691	6083
2	2305	5714
done	5001	5668

prune553.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune26.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `associate-l`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
11×	`associate-*l/` `add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `flip-+`
6×	`associate-r`
5×	`prod-exp`
4×	`frac-add` `unswap-sqr`
3×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate--l+` `flip--` `cbrt-unprod`
2×	`frac-times` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `associate-/r/` `-commutative`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `1-exp` `div-inv`

Counts

4 → 103

Calls

4 calls:

34.0ms	(* (+ t y) a)
19.0ms	(+ (* (+ x y) z) (* (+ t y) a))
102.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
302.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ t y) a)
63.0ms	(+ (* (+ x y) z) (* (+ t y) a))
124.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
820.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: 2 (318.0ms)

Iter	Nodes	Cost
0	209	2607
1	617	2426
2	2527	2218
done	5000	2218

prune370.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.9b

regimes751.0ms

Accuracy

86.1% (3.3b remaining)

Error of 7.7b against oracle of 4.4b and baseline of 28.3b

bsearch3.0ms

simplify13.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	86
1	47	82
2	49	82
done	49	82

end0.0ms

sample1.4s

Algorithm

intervals

Results

795.0ms	7997×	body	80	valid
1.0ms	3×	body	320	valid