Details

sample98.0ms

Algorithm

intervals

Results

31.0ms	47×	body	1280	valid
21.0ms	52×	body	640	valid
12.0ms	165×	body	80	valid
6.0ms	24×	body	320	valid
6.0ms	110×	body	80	nan
2.0ms	12×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
7.4b	(pow (/ x (+ x y)) x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

46.0ms	(/ (pow (/ x (+ x y)) x) x)
13.0ms	(/ x (+ x y))
27.0ms	(pow (/ x (+ x y)) x)

series620.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(/ (pow (/ x (+ x y)) x) x)
57.0ms	(/ x (+ x y))
351.0ms	(pow (/ x (+ x y)) x)

simplify1.4s

Counts

181 → 181

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	276	2881
1	528	2708
2	1487	2650
done	5000	2646

prune695.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:

21.0ms

(/ (exp (- y)) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ (exp (- y)) x)

simplify2.9s

Counts

32 → 32

Iterations

Useful iterations: 3 (217.0ms)

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

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
2.0b	(pow (/ x (cbrt (+ x y))) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`unpow-prod-down`
24×	`cbrt-prod`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
8×	`cbrt-div`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

8.0ms	(cbrt (+ x y))
16.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
28.0ms	(pow (/ x (cbrt (+ x y))) x)

series698.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ x y))
214.0ms	(cbrt (+ x y))
179.0ms	(cbrt (+ x y))
159.0ms	(pow (/ x (cbrt (+ x y))) x)

simplify3.0s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	207	1387
1	497	1298
2	1267	1262
3	4150	1249
done	5001	1249

prune431.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 50

Calls

4 calls:

28.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

400.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
309.0ms	(cbrt x)
334.0ms	(cbrt x)
299.0ms	(cbrt x)

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: 4 (791.0ms)

Iter	Nodes	Cost
0	104	597
1	193	572
2	385	534
3	853	522
4	2333	520
done	5000	520

prune439.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 12.3b

bsearch128.0ms

Steps

Iters	Range		Point
8	0.00013312118248051433	0.12160444842987421	0.12040142811151512
7	-123.41774798665298	-0.7718806003288846	-13.811744642352284

simplify25.0ms

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	28	63
1	36	59
done	36	59

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	1549×	body	1280	valid
829.0ms	1489×	body	640	valid
485.0ms	4811×	body	80	valid
223.0ms	839×	body	320	valid
174.0ms	3131×	body	80	nan
74.0ms	446×	body	160	valid