Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify5.2s

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	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: 26.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite262.0ms

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:

20.0ms	(* (+ t y) a)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
152.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series818.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
53.0ms	(+ (* (+ x y) z) (* (+ t y) a))
107.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
633.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify821.0ms

Counts

102 → 102

Iterations

Useful iterations: done (818.0ms)

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

prune306.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
5.5b	(/ (* y b) (+ (+ x t) y))
24.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite148.0ms

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)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
38.0ms	(/ (* y b) (+ (+ x t) y))
71.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series385.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
76.0ms	(/ (* y b) (+ (+ x t) y))
231.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify881.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	192	2134
1	534	2034
2	2244	1882
done	5000	1882

prune332.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
7.5b	(* y (/ b (+ (+ x t) y)))
24.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

21.0ms	(* (+ t y) a)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(* y (/ b (+ (+ x t) y)))
71.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series381.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
76.0ms	(* y (/ b (+ (+ x t) y)))
228.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify831.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	213	2263
1	584	2143
2	2280	1993
done	5000	1993

prune334.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
7.8b	(/ y (/ (+ (+ x t) y) b))
24.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite188.0ms

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:

62.0ms	(/ (+ (+ x t) y) b)
13.0ms	(+ (* (+ x y) z) (* (+ t y) a))
36.0ms	(/ y (/ (+ (+ x t) y) b))
68.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series428.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (+ (+ x t) y) b)
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
133.0ms	(/ y (/ (+ (+ x t) y) b))
219.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify929.0ms

Counts

201 → 201

Iterations

Useful iterations: done (923.0ms)

Iter	Nodes	Cost
0	284	3770
1	715	3546
2	2736	3368
done	5001	3366

prune474.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

regimes380.0ms

Accuracy

5.7% (19.4b remaining)

Error of 22.5b against oracle of 3.1b and baseline of 23.7b

bsearch193.0ms

Steps

Iters	Range		Point
9	4385052110.0852	2396706146367806.5	90417508901533.34
6	5.835199536225345e-47	8.085863657259142e-46	8.319255981684835e-47
5	1.1954806441351268e-290	4.4387150832292413e-290	3.4662615581034255e-290
9	-1.4031850869327441e-235	-2.005022100650824e-241	-4.899515873749284e-236
0	-2.2382788500552387e-94	-2.2317010570271619e-94	-2.2349899535412003e-94
9	-9.320336970391697e+84	-5.348618402558957e+77	-3.1679708010177473e+80

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	149
1	50	149
done	50	149

end0.0ms

sample676.0ms

Algorithm

intervals

Results

325.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid