Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	199×	body	160	valid
10.0ms	57×	body	320	valid
5.0ms	256×	pre	80	true

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	91	16
3	300	16
4	946	16
5	2331	16
done	5000	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.6b

localize12.0ms

Local error

Found 1 expressions with local error:

50.6b

(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))))

series176.0ms

Counts

1 → 3

Calls

1 calls:

175.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	98	196
3	327	196
4	1914	196
done	5002	196

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.9999999999999997e-32 (pow t 2))

rewrite26.0ms

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:

24.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify3.9s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	53	244
1	109	221
2	237	188
3	672	188
4	3356	185
done	5001	185

prune71.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite62.0ms

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:

16.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
44.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
115.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify3.1s

Counts

66 → 66

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	78	685
1	170	526
2	515	457
3	1843	457
done	5000	448

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))))

rewrite190.0ms

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:

21.0ms	(* t (sqrt 3.9999999999999997e-32))
35.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
129.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

series271.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* t (sqrt 3.9999999999999997e-32))
83.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
108.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

simplify4.0s

Counts

87 → 87

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	106	1078
1	251	813
2	714	542
3	2841	533
done	5000	527

prune180.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	9	13
1	13	11
2	15	9
done	15	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	5934×	body	160	valid
396.0ms	2066×	body	320	valid
217.0ms	8000×	pre	80	true