Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	203×	body	160	valid
5.0ms	53×	body	320	valid
3.0ms	256×	pre	80	true

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize15.0ms

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:

1.0ms

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

series146.0ms

Counts

1 → 3

Calls

1 calls:

146.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (27.0ms)

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

prune60.0ms

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))

rewrite18.0ms

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:

16.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify3.9s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.5s)

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

prune81.0ms

Pruning

7 alts after pruning (6 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)))

rewrite103.0ms

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:

38.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
60.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
121.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: done (2.9s)

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

prune151.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t))
0.3b	(* (sqrt (sqrt 3.9999999999999997e-32)) (* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
33×	`associate-l` `sqrt-prod`
25×	`prod-exp`
19×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
12×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
9×	`cbrt-unprod`
8×	`unswap-sqr`
4×	`pow1` `pow-to-exp` `pow-exp`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

2 → 82

Calls

2 calls:

56.0ms	(* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t))
93.0ms	(* (sqrt (sqrt 3.9999999999999997e-32)) (* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t)))

series318.0ms

Counts

2 → 6

Calls

2 calls:

200.0ms	(* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t))
118.0ms	(* (sqrt (sqrt 3.9999999999999997e-32)) (* (pow (sqrt (sqrt 3.9999999999999997e-32)) 3) (* t t)))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	95	1217
1	242	1107
2	959	802
done	5001	795

prune165.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	6065×	body	160	valid
297.0ms	1935×	body	320	valid
179.0ms	8000×	pre	80	true