Details

sample880.0ms

Algorithm

intervals

Results

704.0ms	101×	body	2560	valid
105.0ms	83×	body	1280	valid
33.0ms	46×	body	640	valid
10.0ms	256×	pre	80	true
9.0ms	16×	body	320	valid
4.0ms	10×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize39.0ms

Local error

Found 2 expressions with local error:

2.3b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
12×	`add-cube-cbrt`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`div-exp` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 63

Calls

2 calls:

Slowest

28.0ms	(- (/ 1 x) (/ 1 (tan x)))
13.0ms	(/ 1 (tan x))

series128.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(- (/ 1 x) (/ 1 (tan x)))
42.0ms	(/ 1 (tan x))

simplify1.2s

Counts: 69 → 69

prune548.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* (* 1/45 x) x) 1/3) x)
0.2b	(* 1/45 x)
0.1b	(* (* 1/45 x) x)
0.1b	(* 2/945 (pow x 5))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

Slowest

71.0ms	(* (+ (* (* 1/45 x) x) 1/3) x)
23.0ms	(* (* 1/45 x) x)
8.0ms	(* 2/945 (pow x 5))
5.0ms	(* 1/45 x)

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(* (+ (* (* 1/45 x) x) 1/3) x)
76.0ms	(* 2/945 (pow x 5))
50.0ms	(* (* 1/45 x) x)
28.0ms	(* 1/45 x)

simplify1.5s

Counts: 97 → 97

prune867.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x)
0.4b	(/ (* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x) (- (* (* 1/45 x) x) 1/3))
0.2b	(* 1/45 x)
0.2b	(* 1/45 x)

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `associate-l`
9×	`associate-r`
4×	`associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

Slowest

300.0ms	(* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x)
175.0ms	(/ (* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x) (- (* (* 1/45 x) x) 1/3))
5.0ms	(* 1/45 x)
5.0ms	(* 1/45 x)

series624.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

347.0ms	(/ (* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x) (- (* (* 1/45 x) x) 1/3))
231.0ms	(* (- (* (* (* 1/45 x) x) (* (* 1/45 x) x)) (* 1/3 1/3)) x)
24.0ms	(* 1/45 x)
21.0ms	(* 1/45 x)

simplify5.5s

Counts: 98 → 98

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (+ (* (* 1/45 x) x) 1/3) (- (* (* 1/45 x) x) 1/3)) (/ x (- (* (* 1/45 x) x) 1/3)))
0.3b	(/ x (- (* (* 1/45 x) x) 1/3))
0.2b	(* 1/45 x)
0.2b	(* 1/45 x)

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
21×	`associate-r`
18×	`times-frac`
16×	`frac-times`
13×	`pow1`
12×	`associate-*l/`
8×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
7×	`associate-l`
6×	`flip3-+` `flip-+`
5×	`pow-prod-down` `associate-*r/`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `associate-/l*`
2×	`div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg`

Counts

4 → 120

Calls

4 calls:

Slowest

276.0ms	(* (* (+ (* (* 1/45 x) x) 1/3) (- (* (* 1/45 x) x) 1/3)) (/ x (- (* (* 1/45 x) x) 1/3)))
41.0ms	(/ x (- (* (* 1/45 x) x) 1/3))
10.0ms	(* 1/45 x)
9.0ms	(* 1/45 x)

series253.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* (* (+ (* (* 1/45 x) x) 1/3) (- (* (* 1/45 x) x) 1/3)) (/ x (- (* (* 1/45 x) x) 1/3)))
89.0ms	(/ x (- (* (* 1/45 x) x) 1/3))
25.0ms	(* 1/45 x)
21.0ms	(* 1/45 x)

simplify1.0s

Counts: 132 → 132

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample16.3s

Algorithm

intervals

Results

9.6s	3236×	body	2560	valid
4.1s	2475×	body	1280	valid
1.6s	1277×	body	640	valid
380.0ms	660×	body	320	valid
333.0ms	8000×	pre	80	true
112.0ms	309×	body	160	valid
8.0ms	43×	body	80	valid