Details

sample110.0ms

Algorithm

intervals

Results

39.0ms	43×	body	1280	valid
26.0ms	51×	body	640	valid
14.0ms	155×	body	80	valid
7.0ms	22×	body	320	valid
6.0ms	89×	body	80	nan
3.0ms	10×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2012
6	545
5	216
4	91
3	41
2	22
1	15
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(exp (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 175

Calls

4 calls:

11.0ms	(/ x (+ x y))
23.0ms	(exp (* x (log (/ x (+ x y)))))
25.0ms	(* x (log (/ x (+ x y))))
8.0ms	(log (/ x (+ x y)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ x (+ x y))
350.0ms	(exp (* x (log (/ x (+ x y)))))
137.0ms	(* x (log (/ x (+ x y))))
69.0ms	(log (/ x (+ x y)))

simplify2.8s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
3	4422
2	1238
1	562
0	260

prune868.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.0b	(/ x (+ x y))
0.1b	(pow (exp x) (log (/ x (+ x y))))
10.0b	(log (/ x (+ x y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `associate-/r*` `flip3-+` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 232

Calls

4 calls:

45.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
10.0ms	(/ x (+ x y))
10.0ms	(pow (exp x) (log (/ x (+ x y))))
6.0ms	(log (/ x (+ x y)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
75.0ms	(/ x (+ x y))
214.0ms	(pow (exp x) (log (/ x (+ x y))))
83.0ms	(log (/ x (+ x y)))

simplify2.0s

Counts

244 → 244

Iterations

Iter	Nodes
done	5002
2	2066
1	740
0	343

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
10.0b	(log (/ x (+ x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
13.0ms	(log (/ x (+ x y)))

series961.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt x)
281.0ms	(cbrt x)
300.0ms	(cbrt x)
63.0ms	(log (/ x (+ x y)))

simplify2.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5052
4	4033
3	1025
2	396
1	204
0	107

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- y)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

12.0ms

(/ (exp (- y)) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(/ (exp (- y)) x)

simplify2.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
4	2792
3	902
2	324
1	128
0	67

prune152.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

95% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.7b

bsearch139.0ms

Steps

Iters	Range		Point
10	0.17679972651571432	2590629949647.022	11.69456786955557
8	-6.465553349696891e+100	-4.272793295315361e+97	-4.909420533601188e+97

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	1539×	body	1280	valid
691.0ms	1479×	body	640	valid
552.0ms	2957×	body	80	nan
351.0ms	4811×	body	80	valid
200.0ms	819×	body	320	valid
104.0ms	472×	body	160	valid