Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	314×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify184.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	81	9
4	158	9
5	200	9
done	200	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
47.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
28.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- 2.0 (* x 3.0))
144.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
90.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify3.6s

Counts

83 → 83

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	754	779
3	3052	761
done	5001	706

prune223.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-r` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

10.0ms	(- 6.0 (* 9.0 x))
23.0ms	(* (- 6.0 (* 9.0 x)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- 6.0 (* 9.0 x))
103.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	71	458
1	160	449
2	464	398
3	1545	388
done	5000	370

prune157.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 9.0 x 6.0)
0.1b	(* (/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0)) x)
0.1b	(* (fma 9.0 x 6.0) (- 6.0 (* x 9.0)))
0.2b	(/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
6×	`times-frac` `associate-r` `prod-diff` `prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`sub-neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `associate-l/` `clear-num` `fma-udef` `associate-/l`

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma 9.0 x 6.0)
32.0ms	(* (/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0)) x)
23.0ms	(* (fma 9.0 x 6.0) (- 6.0 (* x 9.0)))
22.0ms	(/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0))

series349.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma 9.0 x 6.0)
127.0ms	(* (/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0)) x)
147.0ms	(* (fma 9.0 x 6.0) (- 6.0 (* x 9.0)))
41.0ms	(/ (* (fma 9.0 x 6.0) (- 6.0 (* x 9.0))) (fma 9.0 x 6.0))

simplify2.2s

Counts

108 → 108

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	150	1837
1	360	1808
2	1603	1194
done	5002	1102

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `flip--` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

10.0ms	(- 2.0 (* x 3.0))
31.0ms	(* (- 2.0 (* x 3.0)) x)
54.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
99.0ms	(* (- 2.0 (* x 3.0)) x)
138.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	752	650
3	3196	634
done	5002	615

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample763.0ms

Algorithm

intervals

Results

367.0ms	9955×	body	80	valid
83.0ms	329×	body	1280	valid
46.0ms	122×	body	320	valid
31.0ms	276×	body	640	valid
4.0ms	72×	body	160	valid