Details

sample52.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify6.6s

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: 29.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.7b	(+ (* (+ x y) z) (* (+ t y) a))
27.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite390.0ms

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:

43.0ms	(* (+ t y) a)
86.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.0ms	(+ (* (+ x y) z) (* (+ t y) a))
233.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
136.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
65.0ms	(+ (* (+ x y) z) (* (+ t y) a))
825.0ms	(/ (- (+ (* (+ 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	520	2201
2	2122	2077
done	5001	2061

prune433.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.7b	(+ (* (+ x y) z) (* (+ t y) a))
27.6b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite571.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
104.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
390.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ 1 (+ (+ x t) y))
167.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
83.0ms	(+ (* (+ x y) z) (* (+ t y) a))
933.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify1.1s

Counts

130 → 130

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	192	2712
1	556	2436
2	2201	2236
done	5000	2236

prune438.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 1) (+ (+ x y) t))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.7b	(+ (* (+ x y) z) (* (+ t y) a))
27.6b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (sqrt 1) (+ (+ x y) t)))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
63×	`times-frac`
51×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
39×	`distribute-lft-out`
36×	`associate-r`
35×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`flip3-+` `flip-+`
6×	`pow1` `associate-/l*`
5×	`associate-/r*`
4×	`frac-add` `associate-/r/` `unswap-sqr`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `frac-times` `diff-log` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `-commutative`

Counts

4 → 145

Calls

4 calls:

58.0ms	(/ (sqrt 1) (+ (+ x y) t))
108.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
425.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (sqrt 1) (+ (+ x y) t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (sqrt 1) (+ (+ x y) t))
136.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
61.0ms	(+ (* (+ x y) z) (* (+ t y) a))
905.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ (sqrt 1) (+ (+ x y) t)))

simplify1.1s

Counts

157 → 157

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	210	3484
1	589	2943
2	2202	2715
done	5001	2699

prune526.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.5b

localize27.0ms

Local error

Found 4 expressions with local error:

9.5b	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
28.3b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
28.3b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
28.3b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
96×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt`
39×	`cbrt-prod`
36×	`associate-/r*` `distribute-lft-out`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3--` `flip--`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

299.0ms	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
49.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
57.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
55.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series2.2s

Counts

4 → 12

Calls

4 calls:

878.0ms	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
506.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
398.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
446.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify1.1s

Counts

151 → 151

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	208	8283
1	517	8028
2	1906	7195
done	5000	6957

prune642.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.5b

regimes434.0ms

Accuracy

16.1% (16.2b remaining)

Error of 24.1b against oracle of 7.9b and baseline of 27.2b

bsearch138.0ms

Steps

Iters	Range	Point
11	5.0870872402752674e+144	1.2662851632966894e+177	5.1691096520468626e+144
9	3.8306613581281646e+47	3.700444821158235e+52	3.661868286866103e+52
5	-5.241155557104381e+159	-1.4642911230069481e+159	-1.489344028745426e+159

Iters

Range

Point

5.0870872402752674e+144

1.2662851632966894e+177

5.1691096520468626e+144

3.8306613581281646e+47

3.700444821158235e+52

3.661868286866103e+52

-5.241155557104381e+159

-1.4642911230069481e+159

-1.489344028745426e+159

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	39
1	37	38
done	37	38

end0.0ms

sample1.4s

Algorithm

intervals

Results

928.0ms

8000×

body

valid