Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	192×	body	160	valid
4.0ms	64×	body	320	valid
2.0ms	256×	pre	80	true

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	83	16
3	262	16
4	843	16
5	1967	16
6	4400	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize8.0ms

Local error

Found 1 expressions with local error:

50.5b

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

simplify734.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	101	196
3	327	196
4	1817	196
done	5001	196

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 3.9999999999999997e-32 (pow t 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(* 3.9999999999999997e-32 (pow t 2))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify957.0ms

Counts

32 → 32

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	53	244
1	110	221
2	364	188
3	1366	188
done	5000	188

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 60

Calls

2 calls:

10.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
12.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
68.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 3 (533.0ms)

Iter	Nodes	Cost
0	78	685
1	173	526
2	624	461
3	2572	459
done	5000	459

prune109.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
26×	`prod-exp`
19×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `cbrt-unprod`
7×	`pow1` `sqrt-prod`
4×	`pow-to-exp` `pow-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`sqr-pow`

Counts

3 → 78

Calls

3 calls:

4.0ms	(* t (sqrt 3.9999999999999997e-32))
11.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
32.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

series162.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* t (sqrt 3.9999999999999997e-32))
45.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
74.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

simplify3.9s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	106	1078
1	262	813
2	1007	542
3	4577	533
done	5000	533

prune128.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
done	12	13

end0.0ms

sample541.0ms

Algorithm

intervals

Results

254.0ms	5968×	body	160	valid
123.0ms	2032×	body	320	valid
73.0ms	8000×	pre	80	true