Details

sample42.0ms

Algorithm

intervals

Results

19.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	406
1	32	406
2	71	406
3	182	406
4	476	406
5	907	406
6	1228	406
7	1792	406
8	3263	406
done	5001	406

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.1b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite318.0ms

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-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`sum-log` `flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

25.0ms	(* (+ t y) a)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
89.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
182.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ t y) a)
80.0ms	(+ (* (+ x y) z) (* (+ t y) a))
144.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
825.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: 2 (483.0ms)

Iter	Nodes	Cost
0	178	42480
1	532	38853
2	2014	38613
done	5003	38613

prune690.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
9.5b	(/ (* y b) (+ (+ x t) y))
21.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

16.0ms	(* (+ t y) a)
13.0ms	(+ (* (+ x y) z) (* (+ t y) a))
42.0ms	(/ (* y b) (+ (+ x t) y))
86.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series510.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ t y) a)
84.0ms	(+ (* (+ x y) z) (* (+ t y) a))
104.0ms	(/ (* y b) (+ (+ x t) y))
287.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	193	40221
1	567	36348
2	2363	36028
done	5011	35948

prune771.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
9.9b	(/ y (/ (+ (+ x t) y) b))
21.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

26.0ms	(* (+ t y) a)
19.0ms	(+ (* (+ x y) z) (* (+ t y) a))
50.0ms	(/ y (/ (+ (+ x t) y) b))
84.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ t y) a)
67.0ms	(+ (* (+ x y) z) (* (+ t y) a))
209.0ms	(/ y (/ (+ (+ x t) y) b))
313.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify2.2s

Counts

185 → 185

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	291	70341
1	802	64708
2	3002	63246
done	5003	63165

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
9.8b	(* y (/ b (+ (+ x t) y)))
21.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite222.0ms

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×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`add-log-exp` `associate-/l/`
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` `clear-num` `sum-log` `frac-2neg` `associate-*r/`

Counts

4 → 119

Calls

4 calls:

16.0ms	(* (+ t y) a)
12.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(* y (/ b (+ (+ x t) y)))
92.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ t y) a)
78.0ms	(+ (* (+ x y) z) (* (+ t y) a))
104.0ms	(* y (/ b (+ (+ x t) y)))
322.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.6s

Counts

131 → 131

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	214	43049
1	618	38852
2	2516	38530
done	5003	38370

prune609.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

regimes681.0ms

Accuracy

17.7% (17.6b remaining)

Error of 20.8b against oracle of 3.1b and baseline of 24.5b

bsearch329.0ms

Steps

Iters	Range		Point
6	1.931146174419348e+167	1.3240846393186146e+168	7.362253523808576e+167
10	2.2569667644908437e-109	9.325742672817123e-93	1.960478203321101e-101
9	1.772612109884497e-301	3.977490761172814e-293	2.2081620983016835e-299
4	-3.083186983107092e-265	-2.0730073870217793e-265	-2.09516695682471e-265
8	-1.3886290218276508e-128	-2.6137717356461358e-132	-6.589405087646145e-131
10	-1.5775651744017773e+160	-1.6646169640830922e+150	-3.124956724588832e+156

simplify11.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	41	1433
1	51	1433
done	51	1433

end0.0ms

sample1.1s

Algorithm

intervals

Results

862.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid