Details

sample240.0ms

Algorithm

intervals

Results

80.0ms	50×	body	1280	valid
53.0ms	56×	body	640	valid
28.0ms	31×	body	320	valid
14.0ms	152×	body	80	valid
6.0ms	92×	body	80	nan
5.0ms	19×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
7	1853
6	548
5	216
4	91
3	41
2	22
1	15
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
9.6b	(log (/ x (+ x y)))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 296

Calls

4 calls:

118.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
23.0ms	(/ x (+ x y))
52.0ms	(* x (log (/ x (+ x y))))
15.0ms	(log (/ x (+ x y)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
92.0ms	(/ x (+ x y))
144.0ms	(* x (log (/ x (+ x y))))
178.0ms	(log (/ x (+ x y)))

simplify8.2s

Counts

308 → 308

Iterations

Iter	Nodes
done	5008
2	2059
1	887
0	478

prune5.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
139×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 199

Calls

4 calls:

8.0ms	(cbrt (+ x y))
19.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
52.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
28.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series2.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (+ x y))
271.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
656.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
318.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify9.6s

Counts

211 → 211

Iterations

Iter	Nodes
done	5000
3	1876
2	706
1	369
0	193

prune8.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

31.0ms

(/ (exp (- y)) x)

series422.0ms

Counts

1 → 3

Calls

1 calls:

421.0ms

(/ (exp (- y)) x)

simplify12.8s

Counts

34 → 34

Iterations

Iter	Nodes
done	5265
4	3126
3	953
2	329
1	128
0	66

prune763.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (* x (exp y)))
0.0b	(* x (exp y))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`div-exp` `prod-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv` `inv-pow` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

60.0ms	(/ 1 (* x (exp y)))
28.0ms	(* x (exp y))

series180.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ 1 (* x (exp y)))
111.0ms	(* x (exp y))

simplify7.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1620
2	452
1	183
0	81

prune335.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

95.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.9b

bsearch215.0ms

Steps

Iters	Range		Point
9	2.6925018084722774e-16	6.402043939282351e-10	6.305809243265488e-10
8	-1.8404065813264728e+38	-9.459107631657709e+33	-9.603720562144241e+33

simplify11.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample9.6s

Algorithm

intervals

Results

2.6s	4834×	body	80	valid
2.5s	831×	body	320	valid
2.1s	1543×	body	1280	valid
1.2s	1440×	body	640	valid
480.0ms	2944×	body	80	nan
139.0ms	438×	body	160	valid