Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify169.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	148
10	148
9	145
8	141
7	125
6	108
5	90
4	66
3	47
2	25
1	17
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
3.7b	(* (/ (- x y) (- z y)) t)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 102

Calls

2 calls:

30.0ms	(/ (- x y) (- z y))
48.0ms	(* (/ (- x y) (- z y)) t)

series238.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (- x y) (- z y))
154.0ms	(* (/ (- x y) (- z y)) t)

simplify2.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	3938
2	1087
1	372
0	143

prune577.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
3.7b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`associate-r` `add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 119

Calls

3 calls:

9.0ms	(/ 1 (- z y))
43.0ms	(* (- x y) (/ 1 (- z y)))
57.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series286.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 1 (- z y))
67.0ms	(* (- x y) (/ 1 (- z y)))
151.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify1.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1575
1	412
0	161

prune542.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (/ (- x y) (- z y)) t)
5.2b	(cbrt (* (/ (- x y) (- z y)) t))
5.2b	(cbrt (* (/ (- x y) (- z y)) t))
5.2b	(cbrt (* (/ (- x y) (- z y)) t))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

62.0ms	(* (/ (- x y) (- z y)) t)
19.0ms	(cbrt (* (/ (- x y) (- z y)) t))
17.0ms	(cbrt (* (/ (- x y) (- z y)) t))
10.0ms	(cbrt (* (/ (- x y) (- z y)) t))

series1.3s

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (/ (- x y) (- z y)) t)
357.0ms	(cbrt (* (/ (- x y) (- z y)) t))
389.0ms	(cbrt (* (/ (- x y) (- z y)) t))
456.0ms	(cbrt (* (/ (- x y) (- z y)) t))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	4405
2	1057
1	377
0	159

prune619.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
1.0b	(* (/ (- x y) (cbrt (- z y))) t)
7.2b	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
66×	`add-sqr-sqrt`
61×	`associate-l`
58×	`*-un-lft-identity`
46×	`prod-exp`
45×	`times-frac`
36×	`cbrt-prod`
35×	`add-cbrt-cube`
28×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
18×	`cbrt-div`
15×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`cbrt-undiv` `associate-/r/`
9×	`flip3--` `flip--`
6×	`rec-exp` `1-exp` `associate-*l/`
5×	`frac-times`
4×	`associate-r` `pow-prod-down` `add-log-exp`
3×	`associate-*r/` `unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`

Counts

4 → 155

Calls

4 calls:

6.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
52.0ms	(* (/ (- x y) (cbrt (- z y))) t)
165.0ms	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series948.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (- z y))
190.0ms	(cbrt (- z y))
347.0ms	(* (/ (- x y) (cbrt (- z y))) t)
215.0ms	(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify2.6s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	2148
1	688
0	260

prune889.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes781.0ms

Accuracy

-4.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch187.0ms

Steps

Iters	Range		Point
10	3.619548104366734e+38	1.1660348969716148e+50	4.267362913747727e+41
7	7.623347280189268e-230	3.567448140193847e-228	4.499203940774102e-229
9	-8.071407440688318e-278	-5.128453760100703e-286	-3.0451920831267532e-279
9	-4.6078091521834716e-184	-7.148020823355154e-190	-4.905109613219859e-187

simplify10.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample761.0ms

Algorithm

intervals

Results

423.0ms

8712×

body

valid