Details

sample116.0ms

Algorithm

intervals

Results

23.0ms

387×

body

valid

simplify9.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
9	4467
8	1061
7	372
6	202
5	152
4	127
3	85
2	39
1	16
0	8

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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:

11.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
32.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
37.0ms	(* (* 0.12900613773279798 x) x)

series358.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
179.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
67.0ms	(* (* 0.12900613773279798 x) x)

simplify2.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5009
2	920
1	277
0	108

prune482.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

13.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
40.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
34.0ms	(* 0.12900613773279798 (* x x))

series350.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
187.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
52.0ms	(* 0.12900613773279798 (* x x))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1112
1	305
0	109

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.3b	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
20.8b	(sqrt (* 0.12900613773279798 (* x x)))
20.8b	(sqrt (* 0.12900613773279798 (* x x)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 117

Calls

4 calls:

34.0ms	(* 0.12900613773279798 (* x x))
194.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
29.0ms	(sqrt (* 0.12900613773279798 (* x x)))
29.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 0.12900613773279798 (* x x))
133.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
76.0ms	(sqrt (* 0.12900613773279798 (* x x)))
68.0ms	(sqrt (* 0.12900613773279798 (* x x)))

simplify3.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	2164
2	506
1	200
0	85

prune611.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.7b	(* 0.12900613773279798 (* (* x x) x))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `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:

22.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
35.0ms	(* (* x x) x)
98.0ms	(* 0.12900613773279798 (* (* x x) x))

series404.0ms

Counts

3 → 9

Calls

3 calls:

263.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
66.0ms	(* (* x x) x)
74.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify6.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
3	3759
2	830
1	250
0	91

prune337.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify65.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

877.0ms

11927×

body

valid