Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4555
5	2129
4	576
3	183
2	71
1	32
0	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite267.0ms

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:

22.0ms	(* (+ x y) z)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
71.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
152.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series892.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ x y) z)
76.0ms	(+ (* (+ x y) z) (* (+ t y) a))
130.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
651.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify889.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2555
1	535
0	180

prune769.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ y t))
1.1b	(+ (* (+ x y) z) (* a (+ y t)))
8.6b	(/ y (/ (+ x (+ y t)) b))
21.3b	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

rewrite173.0ms

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*`
13×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
10×	`associate-*r/`
8×	`associate-*l/` `frac-add`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp` `associate-/l/`
4×	`cbrt-undiv` `div-exp` `associate-r`
3×	`associate-l` `associate-/r/`
2×	`distribute-rgt-in` `associate-+r+` `clear-num` `frac-2neg` `distribute-lft-in`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

23.0ms	(* a (+ y t))
12.0ms	(+ (* (+ x y) z) (* a (+ y t)))
45.0ms	(/ y (/ (+ x (+ y t)) b))
81.0ms	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* a (+ y t))
72.0ms	(+ (* (+ x y) z) (* a (+ y t)))
176.0ms	(/ y (/ (+ x (+ y t)) b))
264.0ms	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

simplify1.2s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	4113
1	830
0	294

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 1 b) (+ (+ x y) t))
1.1b	(+ (* (+ x y) z) (* a (+ y t)))
8.1b	(* y (/ (* 1 b) (+ (+ x y) t)))
21.3b	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

41.0ms	(/ (* 1 b) (+ (+ x y) t))
22.0ms	(+ (* (+ x y) z) (* a (+ y t)))
63.0ms	(* y (/ (* 1 b) (+ (+ x y) t)))
49.0ms	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* 1 b) (+ (+ x y) t))
81.0ms	(+ (* (+ x y) z) (* a (+ y t)))
98.0ms	(* y (/ (* 1 b) (+ (+ x y) t)))
280.0ms	(/ (+ (* (+ x y) z) (* a (+ y t))) (+ x (+ y t)))

simplify1.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	3387
1	668
0	216

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z))))
1.1b	(+ (* (+ t y) a) (* (+ y x) z))
8.1b	(* y (/ (* 1 b) (+ (+ x y) t)))
21.3b	(/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

164×	`*-un-lft-identity`
155×	`times-frac`
81×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
51×	`distribute-lft-out`
48×	`associate-*l/`
33×	`associate-/r/`
32×	`flip3-+` `flip-+`
29×	`add-exp-log`
28×	`associate-/r*`
24×	`frac-add`
20×	`add-cbrt-cube`
11×	`div-exp` `associate-r`
8×	`associate-/l*`
7×	`pow1` `div-inv`
6×	`cbrt-undiv` `prod-exp` `add-log-exp`
4×	`cbrt-unprod`
3×	`1-exp` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 214

Calls

4 calls:

62.0ms	(/ 1 (/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z))))
12.0ms	(+ (* (+ t y) a) (* (+ y x) z))
63.0ms	(* y (/ (* 1 b) (+ (+ x y) t)))
65.0ms	(/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(/ 1 (/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z))))
57.0ms	(+ (* (+ t y) a) (* (+ y x) z))
79.0ms	(* y (/ (* 1 b) (+ (+ x y) t)))
108.0ms	(/ (+ y (+ t x)) (+ (* (+ t y) a) (* (+ y x) z)))

simplify443.0ms

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
1	1003
0	334

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

regimes896.0ms

Accuracy

30.3% (12.2b remaining)

Error of 15.1b against oracle of 3.0b and baseline of 20.4b

bsearch623.0ms

Steps

Iters	Range		Point
9	1.0148592896668579e+101	3.5641396659162224e+108	3.0520205159031867e+101
6	1.3754484980528106e-09	7.42116589675916e-09	1.3937491865322475e-09
10	1.946875050446464e-159	3.359912201599799e-149	6.96915892234533e-157
9	-1.738483815589496e+49	-1.6593527819979362e+44	-2.0250996617895607e+48

simplify6.0ms

Iterations

Iter	Nodes
done	65
2	65
1	62
0	44

end0.0ms

sample1.2s

Algorithm

intervals

Results

822.0ms	7994×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid