Details

sample118.0ms

Algorithm

intervals

Results

68.0ms	77×	body	1280	valid
25.0ms	52×	body	640	valid
6.0ms	24×	body	320	valid
6.0ms	92×	body	80	valid
3.0ms	64×	body	80	nan
2.0ms	11×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(log (+ 1 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

35.0ms

(log (+ 1 x))

simplify1.5s

Counts: 24 → 19

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.0b	(* x (+ -1/2 (* 1/3 x)))
0.0b	(* (* x (+ -1/2 (* 1/3 x))) x)
0.0b	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
9×	`associate-r` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`associate-*l/` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-rgt-out` `distribute-rgt1-in`

Counts

4 → 77

Calls

4 calls:

Slowest

33.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
12.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
10.0ms	(* x (+ -1/2 (* 1/3 x)))
6.0ms	(* 1/3 x)

series245.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
84.0ms	(* x (+ -1/2 (* 1/3 x)))
36.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
17.0ms	(* 1/3 x)

simplify342.0ms

Counts: 91 → 89

prune635.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

8.8b	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
0.4b	(* 1/3 x)
0.1b	(* (* 1/3 x) x)
0.1b	(* (* (* 1/3 x) x) x)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`insert-posit16`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

Slowest

81.0ms	(* (* (* 1/3 x) x) x)
57.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
13.0ms	(* (* 1/3 x) x)
5.0ms	(* 1/3 x)

series180.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(* (* (* 1/3 x) x) x)
52.0ms	(* (* 1/3 x) x)
39.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
20.0ms	(* 1/3 x)

simplify389.0ms

Counts: 85 → 86

prune573.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

8.8b	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
8.8b	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
5.2b	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))
5.2b	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `sum-log` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `associate-+r+` `sqrt-pow1` `pow1/2`

Counts

4 → 60

Calls

4 calls:

Slowest

135.0ms	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))
87.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
85.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
84.0ms	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

95.0ms	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))
87.0ms	(sqrt (+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2))))
56.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))
52.0ms	(+ (* (* (* 1/3 x) x) x) (+ x (* (* x x) -1/2)))

simplify1.6s

Counts: 80 → 72

prune667.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.7b

bsearch51.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	2293×	body	1280	valid
617.0ms	1704×	body	640	valid
224.0ms	793×	body	320	valid
131.0ms	2806×	body	80	valid
113.0ms	2654×	body	80	nan
49.0ms	404×	body	160	valid