Details

sample91.0ms

Algorithm

intervals

Results

24.0ms	37×	body	1280	valid
20.0ms	56×	body	640	valid
10.0ms	153×	body	80	valid
8.0ms	30×	body	320	valid
5.0ms	99×	body	80	nan
2.0ms	11×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1916
6	531
5	212
4	89
3	41
2	22
1	15
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize31.0ms

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))))
6.2b	(log (/ x (+ x y)))

rewrite126.0ms

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×	`flip3-+` `add-exp-log` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`associate-r` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 288

Calls

4 calls:

56.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
10.0ms	(/ x (+ x y))
17.0ms	(* x (log (/ x (+ x y))))
8.0ms	(log (/ x (+ x y)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
47.0ms	(/ x (+ x y))
104.0ms	(* x (log (/ x (+ x y))))
74.0ms	(log (/ x (+ x y)))

simplify1.9s

Counts

300 → 300

Iterations

Iter	Nodes
done	5002
2	1935
1	869
0	470

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
6.2b	(log (/ x (+ x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

9.0ms	(/ x (+ x y))
17.0ms	(* x (log (/ x (+ x y))))
5.0ms	(log (/ x (+ x y)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ x (+ x y))
93.0ms	(* x (log (/ x (+ x y))))
67.0ms	(log (/ x (+ x y)))

simplify2.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5006
3	3914
2	807
1	357
0	167

prune637.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.3b	(log (/ (cbrt x) (cbrt (+ x y))))
2.3b	(log (/ (cbrt x) (cbrt (+ x y))))
2.3b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 188

Calls

4 calls:

1.0ms	(cbrt x)
14.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
14.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
14.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt x)
85.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
91.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
102.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.3s

Counts

200 → 200

Iterations

Iter	Nodes
done	5000
4	3738
3	1453
2	547
1	318
0	173

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

13.0ms

(/ (exp (- y)) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ (exp (- y)) x)

simplify2.1s

Counts

32 → 32

Iterations

Iter	Nodes
done	5001
4	3260
3	923
2	329
1	125
0	64

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes122.0ms

Accuracy

99.6% (0.0b remaining)

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

bsearch156.0ms

Steps

Iters	Range		Point
10	1.8858956155785848e-06	573579.0075499975	95.61454861569655
9	-1.2264121444217956e+41	-3.687013704912239e+33	-7.224948756571171e+34

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1472×	body	1280	valid
619.0ms	1441×	body	640	valid
558.0ms	3050×	body	80	nan
461.0ms	4877×	body	80	valid
236.0ms	888×	body	320	valid
71.0ms	435×	body	160	valid