Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	580	21
5	2337	21
done	5000	21

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
27.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite348.0ms

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:

32.0ms	(* (+ t y) a)
86.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
203.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ t y) a)
144.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
808.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2330	2079
done	5000	2077

prune486.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
8.9b	(/ (* y b) (+ (+ x t) y))
23.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

20.0ms	(* (+ t y) a)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
45.0ms	(/ (* y b) (+ (+ x t) y))
81.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ t y) a)
80.0ms	(+ (* (+ x y) z) (* (+ t y) a))
90.0ms	(/ (* y b) (+ (+ x t) y))
324.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	192	2134
1	565	2034
2	2909	1882
done	5000	1882

prune501.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
8.5b	(* y (/ b (+ (+ x t) y)))
23.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
16×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

52.0ms	(/ b (+ (+ x t) y))
22.0ms	(+ (* (+ x y) z) (* (+ t y) a))
112.0ms	(* y (/ b (+ (+ x t) y)))
109.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series544.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ b (+ (+ x t) y))
79.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(* y (/ b (+ (+ x t) y)))
323.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.1s

Counts

147 → 147

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	2543
1	586	2419
2	2680	2257
done	5001	2251

prune468.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
8.7b	(/ y (/ (+ (+ x t) y) b))
23.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

68.0ms	(/ (+ (+ x t) y) b)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(/ y (/ (+ (+ x t) y) b))
109.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series558.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (+ (+ x t) y) b)
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
178.0ms	(/ y (/ (+ (+ x t) y) b))
282.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.2s

Counts

201 → 201

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	284	3770
1	807	3586
2	4114	3378
done	5002	3376

prune610.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

regimes499.0ms

Accuracy

8.2% (19.1b remaining)

Error of 22.2b against oracle of 3.1b and baseline of 23.9b

bsearch403.0ms

Steps

Iters	Range		Point
10	5.387079620338417e+140	6.699181655185123e+157	1.2953135415294241e+154
8	2.6807623159361724e+68	1.63707466277551e+73	4.752448781132319e+69
8	2.5423444098618012e-39	1.1389232708842092e-35	2.1037382140168494e-36
9	-8.340107408137247e-148	-1.2538266376184975e-154	-5.676644919435614e-153
8	-3.45505066098454e-25	-4.0284982420283647e-28	-1.8040208178889395e-25
7	-0.06587540412458402	-0.0010003224390633945	-0.001529354401011888
8	-2.0012938897636947e+86	-5.62586576567066e+82	-1.2369013987536101e+86

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	48	166
1	62	156
done	62	156

end0.0ms

sample1.4s

Algorithm

intervals

Results

975.0ms	7998×	body	80	valid
1.0ms	2×	body	1280	valid