Details

sample165.0ms

Algorithm

intervals

Results

47.0ms	50×	body	1280	valid
47.0ms	56×	body	640	valid
16.0ms	31×	body	320	valid
14.0ms	152×	body	80	valid
7.0ms	92×	body	80	nan
5.0ms	19×	body	160	valid

simplify10.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5013
7	1954
6	542
5	212
4	89
3	41
2	22
1	15
0	8

prune58.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize95.0ms

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)))

rewrite691.0ms

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×	`associate-r` `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 → 288

Calls

4 calls:

299.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
71.0ms	(/ x (+ x y))
187.0ms	(* x (log (/ x (+ x y))))
36.0ms	(log (/ x (+ x y)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
74.0ms	(/ x (+ x y))
141.0ms	(* x (log (/ x (+ x y))))
106.0ms	(log (/ x (+ x y)))

simplify6.5s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
2	1948
1	869
0	470

prune5.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
4.5b	(log (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
49×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
13×	`pow1`
8×	`distribute-lft-out`
7×	`rem-log-exp` `log-pow`
6×	`cbrt-div`
5×	`div-exp`
4×	`log-div` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `associate-/r/`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 109

Calls

4 calls:

8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
26.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
50.0ms	(log (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

467.0ms	(cbrt (+ x y))
256.0ms	(cbrt (+ x y))
147.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
186.0ms	(log (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))))

simplify4.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
3	1952
2	756
1	399
0	208

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize117.0ms

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))))

rewrite95.0ms

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×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 191

Calls

4 calls:

8.0ms	(cbrt (+ x y))
19.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
27.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
19.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

744.0ms	(cbrt (+ x y))
330.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
753.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
393.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify10.9s

Counts

203 → 203

Iterations

Iter	Nodes
done	5002
4	4838
3	1762
2	658
1	360
0	189

prune3.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

33.0ms

(/ (exp (- y)) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (exp (- y)) x)

simplify6.3s

Counts

32 → 32

Iterations

Iter	Nodes
done	5003
4	3062
3	859
2	319
1	125
0	64

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes190.0ms

Accuracy

95.9% (0.2b remaining)

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

bsearch212.0ms

Steps

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

simplify12.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.1s	1543×	body	1280	valid
1.8s	831×	body	320	valid
1.4s	4834×	body	80	valid
1.3s	1440×	body	640	valid
324.0ms	2944×	body	80	nan
193.0ms	438×	body	160	valid