Details

sample105.0ms

Algorithm

intervals

Results

39.0ms	56×	body	1280	valid
20.0ms	50×	body	640	valid
10.0ms	145×	body	80	valid
7.0ms	28×	body	320	valid
5.0ms	97×	body	80	nan
2.0ms	13×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2074
5	506
4	151
3	52
2	24
1	15
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
7.7b	(log (/ x (+ x y)))

rewrite77.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 123

Calls

3 calls:

23.0ms	(/ x (+ x y))
34.0ms	(* x (log (/ x (+ x y))))
10.0ms	(log (/ x (+ x y)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ x (+ x y))
114.0ms	(* x (log (/ x (+ x y))))
56.0ms	(log (/ x (+ x y)))

simplify1.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1065
1	371
0	173

prune824.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.3b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
32.9b	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
20×	`prod-exp`
15×	`div-exp` `rem-log-exp`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `rec-exp` `add-cbrt-cube` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`log-pow`
1×	`frac-times` `log-prod` `pow-prod-down` `associate-l/` `associate-r/`

Counts

4 → 78

Calls

4 calls:

6.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
124.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

series753.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (+ x y))
198.0ms	(cbrt (+ x y))
205.0ms	(cbrt (+ x y))
116.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

simplify2.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
3	3092
2	670
1	191
0	86

prune598.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.3b

localize95.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
31.5b	(log (* (/ 1 (* (cbrt (+ x y)) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y)))))) (/ x (cbrt (+ x y)))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
38×	`prod-exp`
22×	`div-exp`
21×	`rem-log-exp`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`rec-exp` `cbrt-div` `1-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`log-pow`
1×	`frac-times` `log-prod` `pow-prod-down` `associate-l/` `associate-r/`

Counts

4 → 84

Calls

4 calls:

3.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
289.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y)))))) (/ x (cbrt (+ x y)))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (+ x y))
179.0ms	(cbrt (+ x y))
197.0ms	(cbrt (+ x y))
101.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y)))))) (/ x (cbrt (+ x y)))))

simplify2.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	3658
2	721
1	201
0	89

prune623.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.3b

regimes93.0ms

Accuracy

33.8% (5.3b remaining)

Error of 6.9b against oracle of 1.6b and baseline of 9.6b

bsearch94.0ms

Steps

Iters	Range		Point
10	1.710610704328059e-08	1875.4132169206714	14.336781711312787

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	1504×	body	1280	valid
693.0ms	1499×	body	640	valid
393.0ms	4873×	body	80	valid
236.0ms	806×	body	320	valid
183.0ms	3063×	body	80	nan
109.0ms	463×	body	160	valid