Details

sample49.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify7.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.9b	(+ (* (+ x y) z) (* (+ t y) a))
26.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite363.0ms

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:

33.0ms	(* (+ x y) z)
91.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0ms	(+ (* (+ x y) z) (* (+ t y) a))
211.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ x y) z)
149.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
90.0ms	(+ (* (+ x y) z) (* (+ t y) a))
832.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	179	2307
1	524	2205
2	2120	2077
done	5000	2077

prune461.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
2.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.9b	(+ (* (+ x y) z) (* (+ t y) a))
26.9b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite528.0ms

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:

47.0ms	(/ 1 (+ (+ x t) y))
84.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
32.0ms	(+ (* (+ x y) z) (* (+ t y) a))
358.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ 1 (+ (+ x t) y))
133.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
81.0ms	(+ (* (+ x y) z) (* (+ t y) a))
787.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify1.1s

Counts

130 → 130

Iterations

Useful iterations: 2 (360.0ms)

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

prune456.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.3b

localize38.0ms

Local error

Found 4 expressions with local error:

24.8b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
24.8b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
24.8b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
26.8b	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`associate-*l/`
18×	`cbrt-div`
17×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`flip3-+` `flip-+`
15×	`times-frac`
12×	`frac-add` `distribute-lft-out`
9×	`cbrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

11.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
15.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
20.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
551.0ms	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

series1.8s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
400.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
302.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
763.0ms	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

simplify806.0ms

Counts

103 → 103

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	191	4696
1	532	4592
2	1837	2957
done	5001	2758

prune505.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.9b	(+ (* (+ x y) z) (* (+ t y) a))
10.4b	(/ (* y b) (+ (+ x t) y))
24.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite176.0ms

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:

31.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
43.0ms	(/ (* y b) (+ (+ x t) y))
80.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series462.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
57.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(/ (* y b) (+ (+ x t) y))
288.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify934.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	194	2134
1	538	2038
2	2232	1882
done	5001	1882

prune348.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.8b

regimes376.0ms

Accuracy

19% (15.6b remaining)

Error of 20.7b against oracle of 5.1b and baseline of 24.4b

bsearch71.0ms

Steps

Iters	Range		Point
7	1.1325161296267603e+166	2.2898271484234143e+168	1.719219137598275e+166
5	-3.284918449488842e+213	-1.044051476258928e+213	-1.0616104282418916e+213

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	37
1	31	37
done	31	37

end0.0ms

sample1.1s

Algorithm

intervals

Results

724.0ms	7997×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid