Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	29×	body	1280	valid
6.0ms	169×	body	80	valid
4.0ms	30×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3
done	17	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

14.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify32.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302
done	5001	302

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

0.0ms	(log1p (/ (sin y) y))
0.0ms	(expm1 (log1p (/ (sin y) y)))
7.0ms	(* x (expm1 (log1p (/ (sin y) y))))
8.0ms	(/ (sin y) y)

series299.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log1p (/ (sin y) y))
153.0ms	(expm1 (log1p (/ (sin y) y)))
82.0ms	(* x (expm1 (log1p (/ (sin y) y))))
25.0ms	(/ (sin y) y)

simplify135.0ms

Counts

83 → 83

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	232	418
1	864	368
2	4325	365
3	5002	363
done	5002	363

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series708.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
168.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify86.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune251.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (expm1 (log1p (/ (sin y) y))))) (cbrt (* x (expm1 (log1p (/ (sin y) y))))))
9.6b	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
9.6b	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
9.6b	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

13.0ms	(* (cbrt (* x (expm1 (log1p (/ (sin y) y))))) (cbrt (* x (expm1 (log1p (/ (sin y) y))))))
3.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
3.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
3.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))

series798.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (* x (expm1 (log1p (/ (sin y) y))))) (cbrt (* x (expm1 (log1p (/ (sin y) y))))))
196.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
188.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))
187.0ms	(cbrt (* x (expm1 (log1p (/ (sin y) y)))))

simplify130.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	214	774
1	837	680
2	4640	616
3	5001	616
done	5001	616

prune235.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5
done	8	5

end0.0ms

sample819.0ms

Algorithm

intervals

Results

229.0ms	936×	body	1280	valid
168.0ms	5263×	body	80	valid
146.0ms	988×	body	640	valid
63.0ms	518×	body	320	valid
21.0ms	295×	body	160	valid