Details

sample234.0ms

Algorithm

intervals

Results

72.0ms	49×	body	10240	exit
48.0ms	50×	body	1280	valid
31.0ms	49×	body	640	valid
16.0ms	39×	body	320	valid
14.0ms	6×	body	2560	valid
13.0ms	100×	body	80	valid
7.0ms	75×	body	80	nan
4.0ms	7×	body	1280	nan
3.0ms	13×	body	160	valid
2.0ms	6×	body	320	nan
2.0ms	4×	body	640	nan
0.0ms	2×	body	160	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
11	1738
10	1224
9	862
8	678
7	469
6	261
5	107
4	66
3	48
2	33
1	20
0	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.0b	(log (+ (- 1.0 y) (* y (exp z))))
2.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
9×	`pow1`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`flip3-+` `div-sub` `flip-+` `insert-posit16` `associate-/l*`
3×	`log-prod` `associate-/r*`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `associate-+l-` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 83

Calls

4 calls:

13.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
57.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(log (+ (- 1.0 y) (* y (exp z))))
26.0ms	(+ (- 1.0 y) (* y (exp z)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
200.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
107.0ms	(log (+ (- 1.0 y) (* y (exp z))))
55.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify798.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2006
2	1500
1	481
0	206

prune569.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
7.0b	(/ (* z y) t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp` `insert-posit16`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

54.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
13.0ms	(/ (* z y) t)

series141.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
29.0ms	(/ (* z y) t)

simplify486.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	2001
2	754
1	215
0	88

prune269.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
3.2b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
42.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt t)
238.0ms	(cbrt t)
237.0ms	(cbrt t)
68.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

simplify792.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2001
2	1889
1	443
0	142

prune659.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.6b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
6.3b	(/ z (/ t y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `diff-log` `insert-posit16`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate-/r/` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 88

Calls

2 calls:

42.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
10.0ms	(/ z (/ t y))

series193.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
34.0ms	(/ z (/ t y))

simplify853.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	2002
2	1469
1	467
0	194

prune367.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.6b

regimes1.6s

Accuracy

64.9% (4.4b remaining)

Error of 8.3b against oracle of 3.9b and baseline of 16.5b

bsearch109.0ms

Steps

Iters	Range		Point
11	-5.593300959697928e+29	-13790401.520460634	-13944249.30924102

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.2s	1491×	body	10240	exit
1.4s	1445×	body	1280	valid
1.1s	1592×	body	640	valid
680.0ms	914×	body	320	valid
530.0ms	3467×	body	80	valid
285.0ms	2492×	body	80	nan
223.0ms	515×	body	160	valid
177.0ms	97×	body	2560	valid
103.0ms	232×	body	640	nan
80.0ms	172×	body	320	nan
64.0ms	98×	body	1280	nan
23.0ms	122×	body	160	nan