Details

sample133.0ms

Algorithm

intervals

Results

38.0ms

396×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
8	2255
7	733
6	296
5	170
4	122
3	86
2	39
1	16
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite52.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
16.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms	(* (* 0.12900613773279798 x) x)

series315.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
160.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
43.0ms	(* (* 0.12900613773279798 x) x)

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
3	3131
2	777
1	251
0	111

prune231.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`associate-l`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

17.0ms	(+ (* 0.954929658551372 x) (* (- (* (* 0.12900613773279798 x) x)) x))
16.0ms	(* (- (* (* 0.12900613773279798 x) x)) x)
15.0ms	(* (* 0.12900613773279798 x) x)

series259.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (* 0.954929658551372 x) (* (- (* (* 0.12900613773279798 x) x)) x))
74.0ms	(* (- (* (* 0.12900613773279798 x) x)) x)
51.0ms	(* (* 0.12900613773279798 x) x)

simplify5.0s

Counts

73 → 73

Iterations

Iter	Nodes
3	6100
2	1163
1	279
0	98

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`distribute-rgt-neg-out`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `flip-+`

Counts

3 → 65

Calls

3 calls:

8.0ms	(+ (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x (- x))) x))
48.0ms	(* (* 0.12900613773279798 (* x (- x))) x)
19.0ms	(* 0.12900613773279798 (* x (- x)))

series243.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x (- x))) x))
56.0ms	(* (* 0.12900613773279798 (* x (- x))) x)
28.0ms	(* 0.12900613773279798 (* x (- x)))

simplify3.0s

Counts

74 → 74

Iterations

Iter	Nodes
3	4655
2	1086
1	277
0	99

prune209.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.2b	(* (* x x) x)
0.3b	(* 0.12900613773279798 (* (* x x) x))

rewrite83.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
18.0ms	(* (* x x) x)
53.0ms	(* 0.12900613773279798 (* (* x x) x))

series224.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
41.0ms	(* (* x x) x)
49.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
3	2699
2	703
1	250
0	94

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
4	31
3	31
2	30
1	20
0	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

12003×

body

valid