Details

sample110.0ms

Algorithm

intervals

Results

43.0ms	63×	body	1280	valid
20.0ms	44×	body	640	valid
11.0ms	148×	body	80	valid
7.0ms	24×	body	320	valid
5.0ms	91×	body	80	nan
2.0ms	12×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	150	9
5	501	9
6	2070	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize18.0ms

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))))
7.7b	(log (/ x (+ x y)))

rewrite138.0ms

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:

73.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
11.0ms	(/ x (+ x y))
25.0ms	(* x (log (/ x (+ x y))))
9.0ms	(log (/ x (+ x y)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
46.0ms	(/ x (+ x y))
123.0ms	(* x (log (/ x (+ x y))))
75.0ms	(log (/ x (+ x y)))

simplify2.4s

Counts

308 → 308

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	478	5632
1	907	5087
2	3247	4597
done	5001	4594

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
3.8b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

7.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
45.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (+ x y))
176.0ms	(cbrt (+ x y))
163.0ms	(cbrt (+ x y))
116.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	126	1183
1	281	1126
2	738	982
3	2308	904
done	5001	892

prune650.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
2.5b	(- (log (* (cbrt x) (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

255×	`log-pow`
238×	`pow1`
165×	`pow1/3`
144×	`prod-diff`
58×	`pow-prod-down`
56×	`pow-prod-up`
54×	`pow-sqr`
44×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
29×	`pow-plus`
27×	`pow2`
18×	`cbrt-div` `distribute-lft-out--`
12×	`cbrt-prod` `fma-neg`
9×	`flip3-+` `flip-+`
8×	`log-div` `associate--r-`
4×	`add-exp-log` `expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`log-prod` `associate-r/` `associate-l/`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 247

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
156.0ms	(- (log (* (cbrt x) (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (+ x y))
192.0ms	(cbrt (+ x y))
509.0ms	(cbrt (+ x y))
223.0ms	(- (log (* (cbrt x) (cbrt x))) (log (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify1.3s

Counts

259 → 259

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	252	8621
1	567	6596
2	1731	3904
done	5000	2881

prune971.0ms

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)

rewrite13.0ms

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:

12.0ms

(/ (exp (- y)) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (exp (- y)) x)

simplify2.7s

Counts

34 → 34

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	66	311
1	128	300
2	473	282
3	3443	278
done	5001	278

prune161.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

93.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.4b

bsearch172.0ms

Steps

Iters	Range		Point
7	1.899433490407338e-14	3.541339979661634e-13	3.5038509428931215e-13
8	-9.93160793826635e+68	-5.0548110587350964e+64	-5.1279911066425243e+64

simplify19.0ms

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	30	52
1	34	51
done	34	51

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.1s	1512×	body	1280	valid
755.0ms	850×	body	320	valid
677.0ms	1414×	body	640	valid
381.0ms	4962×	body	80	valid
321.0ms	3069×	body	80	nan
75.0ms	430×	body	160	valid