Details

sample109.0ms

Algorithm

intervals

Results

36.0ms	47×	body	1280	valid
20.0ms	43×	body	640	valid
14.0ms	160×	body	80	valid
12.0ms	38×	body	320	valid
7.0ms	109×	body	80	nan
3.0ms	15×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	105	9
5	241	9
6	578	9
7	1854	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
4.1b	(pow (/ x (+ x y)) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

11.0ms	(/ x (+ x y))
25.0ms	(pow (/ x (+ x y)) x)

series382.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ x (+ x y))
314.0ms	(pow (/ x (+ x y)) x)

simplify1.7s

Counts

72 → 72

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	129	836
1	305	785
2	738	756
3	1992	754
done	5001	749

prune170.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.7b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
24.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
28.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt x)
252.0ms	(cbrt x)
367.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
399.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify2.6s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	295	2319
1	678	2162
2	1467	1952
3	4198	1936
done	5000	1936

prune542.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
4.2b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
10.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt x)
251.0ms	(cbrt x)
375.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
83.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.0s

Counts

156 → 156

Iterations

Useful iterations: 3 (877.0ms)

Iter	Nodes	Cost
0	274	2485
1	598	2317
2	1192	2241
3	3022	2196
done	5000	2196

prune765.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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

Counts

1 → 29

Calls

1 calls:

12.0ms

(/ (exp (- y)) x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (exp (- y)) x)

simplify2.8s

Counts

32 → 32

Iterations

Useful iterations: 3 (256.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	281	269
3	680	267
4	2766	267
done	5001	267

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

89.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.6b

bsearch123.0ms

Steps

Iters	Range		Point
9	2.9383989254246584e-32	8.920697905542442e-24	8.738743363977151e-24
7	-1.1168504929064998e+61	-2.426943492373032e+59	-4.980242683664132e+60

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	45
1	34	40
done	34	40

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	1463×	body	1280	valid
957.0ms	1452×	body	640	valid
448.0ms	4915×	body	80	valid
330.0ms	833×	body	320	valid
229.0ms	3035×	body	80	nan
80.0ms	456×	body	160	valid