Details

sample51.0ms

Algorithm

intervals

Results

22.0ms	199×	body	160	valid
10.0ms	57×	body	320	valid
5.0ms	256×	pre	80	true

simplify6.1s

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

localize20.0ms

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))))

series173.0ms

Counts

1 → 3

Calls

1 calls:

172.0ms

(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 (20.0ms)

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

prune38.0ms

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:

25.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify4.2s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.7s)

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

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite66.0ms

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:

34.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
30.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
113.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify3.0s

Counts

66 → 66

Iterations

Useful iterations: done (3.0s)

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

prune116.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b

(* (fabs t) (sqrt 3.9999999999999997e-32))

0.2b

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

0.3b

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

13.0ms

(* (fabs t) (sqrt 3.9999999999999997e-32))

45.0ms

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

117.0ms

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

series287.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms

(* (fabs t) (sqrt 3.9999999999999997e-32))

86.0ms

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

145.0ms

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

simplify3.9s

Counts

87 → 87

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	118	1094
1	277	954
2	844	595
3	2515	595
done	5000	588

prune221.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
done	13	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

704.0ms	8000×	pre	80	true
636.0ms	5934×	body	160	valid
384.0ms	2066×	body	320	valid