Details

sample225.0ms

Algorithm

intervals

Results

29.0ms

362×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3204
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
14.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
26.0ms	(* (* 0.12900613773279798 x) x)

series331.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
189.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
45.0ms	(* (* 0.12900613773279798 x) x)

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5003
2	929
1	277
0	108

prune439.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
0.2b	(* x (* 0.12900613773279798 x))
0.2b	(* x (* 0.12900613773279798 x))
39.9b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

5.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
24.0ms	(* x (* 0.12900613773279798 x))
24.0ms	(* x (* 0.12900613773279798 x))
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
29.0ms	(* x (* 0.12900613773279798 x))
44.0ms	(* x (* 0.12900613773279798 x))
90.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify3.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3616
2	603
1	174
0	82

prune464.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

14.0ms	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
47.0ms	(* (* 0.12900613773279798 x) (* x x))

series212.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
56.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify3.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	3086
2	714
1	194
0	73

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
19.0ms	(* (* x x) x)
75.0ms	(* 0.12900613773279798 (* (* x x) x))

series249.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
44.0ms	(* (* x x) x)
61.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	3871
2	801
1	249
0	91

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
2	30
1	23
0	13

end0.0ms

sample934.0ms

Algorithm

intervals

Results

714.0ms

11917×

body

valid