Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	304×	body	80	valid
4.0ms	10×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	4×	body	320	valid

simplify476.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	224
6	224
5	221
4	169
3	80
2	31
1	14
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
15.0ms	(* 3.0 (- 2.0 (* x 3.0)))
26.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series254.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- 2.0 (* x 3.0))
66.0ms	(* 3.0 (- 2.0 (* x 3.0)))
142.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4928
2	893
1	267
0	113

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(- 6.0 (* 9.0 x))
14.0ms	(* (- 6.0 (* 9.0 x)) x)

series153.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 6.0 (* 9.0 x))
100.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify1.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	1424
2	466
1	165
0	71

prune242.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

8.0ms	(- 6.0 (* 9.0 x))
14.0ms	(* x (- 6.0 (* 9.0 x)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- 6.0 (* 9.0 x))
126.0ms	(* x (- 6.0 (* 9.0 x)))

simplify3.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	2843
2	575
1	188
0	81

prune296.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (* 3.0 x))
0.2b	(* (* 3.0 x) (- 2.0 (* 3.0 x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

10.0ms	(- 2.0 (* 3.0 x))
46.0ms	(* (* 3.0 x) (- 2.0 (* 3.0 x)))

series251.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- 2.0 (* 3.0 x))
184.0ms	(* (* 3.0 x) (- 2.0 (* 3.0 x)))

simplify3.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5004
3	3908
2	861
1	248
0	88

prune201.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end1.0ms

sample938.0ms

Algorithm

intervals

Results

502.0ms	9779×	body	80	valid
58.0ms	330×	body	1280	valid
52.0ms	63×	body	160	valid
40.0ms	289×	body	640	valid
16.0ms	142×	body	320	valid