Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	177×	body	160	valid
13.0ms	79×	body	320	valid
5.0ms	256×	pre	80	true

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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

prune10.0ms

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:

1.0ms

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

series163.0ms

Counts

1 → 3

Calls

1 calls:

163.0ms

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

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (28.0ms)

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

prune54.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

18.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify3.7s

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

prune89.0ms

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

rewrite70.0ms

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:

46.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
22.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series166.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
68.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify2.8s

Counts

66 → 66

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	78	685
1	170	526
2	521	457
3	1792	457
done	5001	448

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (* 1 (* (pow t 2) (sqrt 3.9999999999999997e-32))))
0.3b	(* (pow t 2) (sqrt 3.9999999999999997e-32))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

100.0ms	(* (sqrt 3.9999999999999997e-32) (* 1 (* (pow t 2) (sqrt 3.9999999999999997e-32))))
20.0ms	(* (pow t 2) (sqrt 3.9999999999999997e-32))

series188.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (sqrt 3.9999999999999997e-32) (* 1 (* (pow t 2) (sqrt 3.9999999999999997e-32))))
69.0ms	(* (pow t 2) (sqrt 3.9999999999999997e-32))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	100	860
1	222	671
2	567	498
3	1767	498
done	5000	492

prune170.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	14	9
done	14	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

932.0ms	5972×	body	160	valid
530.0ms	2028×	body	320	valid
168.0ms	8000×	pre	80	true