Details

sample158.0ms

Algorithm

intervals

Results

67.0ms	116×	body	1280	valid
49.0ms	82×	body	640	valid
18.0ms	267×	body	80	valid
8.0ms	34×	body	320	valid
3.0ms	20×	body	160	valid

simplify56.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize17.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) (exp (- x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

Slowest

22.0ms

(- (exp x) (exp (- x)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

54.0ms

(- (exp x) (exp (- x)))

simplify1.8s

Counts: 18 → 18

prune134.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 1/3 (* x x))
0.1b	(* 1/60 (pow x 5))
0.0b	(* (+ 2 (* 1/3 (* x x))) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 67

Calls

3 calls:

Slowest

23.0ms	(* (+ 2 (* 1/3 (* x x))) x)
12.0ms	(* 1/3 (* x x))
10.0ms	(* 1/60 (pow x 5))

series203.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

113.0ms	(* (+ 2 (* 1/3 (* x x))) x)
57.0ms	(* 1/60 (pow x 5))
32.0ms	(* 1/3 (* x x))

simplify1.2s

Counts: 76 → 76

prune787.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ 2 (* 1/3 (* x x))))
1.0b	(cbrt (+ 2 (* 1/3 (* x x))))
1.0b	(cbrt (+ 2 (* 1/3 (* x x))))
0.4b	(* (* (cbrt (+ 2 (* 1/3 (* x x)))) (cbrt (+ 2 (* 1/3 (* x x))))) (* (cbrt (+ 2 (* 1/3 (* x x)))) x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 91

Calls

4 calls:

Slowest

89.0ms	(* (* (cbrt (+ 2 (* 1/3 (* x x)))) (cbrt (+ 2 (* 1/3 (* x x))))) (* (cbrt (+ 2 (* 1/3 (* x x)))) x))
10.0ms	(cbrt (+ 2 (* 1/3 (* x x))))
4.0ms	(cbrt (+ 2 (* 1/3 (* x x))))
4.0ms	(cbrt (+ 2 (* 1/3 (* x x))))

series648.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(cbrt (+ 2 (* 1/3 (* x x))))
168.0ms	(cbrt (+ 2 (* 1/3 (* x x))))
161.0ms	(cbrt (+ 2 (* 1/3 (* x x))))
142.0ms	(* (* (cbrt (+ 2 (* 1/3 (* x x)))) (cbrt (+ 2 (* 1/3 (* x x))))) (* (cbrt (+ 2 (* 1/3 (* x x)))) x))

simplify2.3s

Counts: 103 → 103

prune859.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))) (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))))
1.0b	(cbrt (+ 2 (* 1/3 (* x x))))
1.0b	(cbrt (- 2 (* 1/3 (* x x))))
1.0b	(cbrt (- 2 (* 1/3 (* x x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`flip3--` `flip--`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 94

Calls

4 calls:

Slowest

41.0ms	(* (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))) (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))))
2.0ms	(cbrt (- 2 (* 1/3 (* x x))))
2.0ms	(cbrt (- 2 (* 1/3 (* x x))))
2.0ms	(cbrt (+ 2 (* 1/3 (* x x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

945.0ms	(* (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))) (cbrt (- (* 2 2) (* (* 1/3 (* x x)) (* 1/3 (* x x))))))
192.0ms	(cbrt (- 2 (* 1/3 (* x x))))
171.0ms	(cbrt (- 2 (* 1/3 (* x x))))
170.0ms	(cbrt (+ 2 (* 1/3 (* x x))))

simplify2.6s

Counts: 106 → 106

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	3313×	body	1280	valid
1.1s	2512×	body	640	valid
690.0ms	8255×	body	80	valid
493.0ms	1250×	body	320	valid
106.0ms	636×	body	160	valid