Details

sample98.0ms

Algorithm

intervals

Results

48.0ms	120×	body	1280	valid
21.0ms	80×	body	640	valid
13.0ms	266×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid

simplify79.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize24.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite28.0ms

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

28.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

67.0ms

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

simplify1.5s

Counts: 18 → 18

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

20.0ms	(* 1/3 (* x x))
13.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
10.0ms	(* x (+ 2 (* 1/3 (* x x))))
10.0ms	(* 1/60 (pow x 5))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(* x (+ 2 (* 1/3 (* x x))))
105.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
55.0ms	(* 1/60 (pow x 5))
27.0ms	(* 1/3 (* x x))

simplify2.4s

Counts: 95 → 95

prune676.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x x) x) 1/3)
0.1b	(* (* x x) (* (* x x) x))
0.0b	(* 1/60 (* (* x x) (* (* x x) x)))
0.0b	(* (* x x) x)

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

183×	`pow1`
75×	`pow-prod-up`
68×	`add-cbrt-cube` `add-exp-log`
46×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`pow-plus`
19×	`pow2` `pow-sqr`
8×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
5×	`pow3`
4×	`*-commutative` `insert-posit16` `add-log-exp`
1×	`unswap-sqr`

Counts

4 → 150

Calls

4 calls:

Slowest

133.0ms	(* 1/60 (* (* x x) (* (* x x) x)))
61.0ms	(* (* x x) (* (* x x) x))
54.0ms	(* (* (* x x) x) 1/3)
14.0ms	(* (* x x) x)

series199.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* 1/60 (* (* x x) (* (* x x) x)))
55.0ms	(* (* x x) (* (* x x) x))
40.0ms	(* (* (* x x) x) 1/3)
35.0ms	(* (* x x) x)

simplify1.8s

Counts: 162 → 162

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

3.7b	(- (exp (* 3 x)) (exp (* x -3)))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (exp (* 3 x)) (exp (* x -3))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
36×	`exp-prod`
35×	`add-cube-cbrt`
20×	`times-frac`
18×	`pow1`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`associate-/l*`
4×	`associate-/r*` `insert-posit16`
2×	`pow2` `pow-plus` `flip3--` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 132

Calls

4 calls:

Slowest

207.0ms	(/ (- (exp (* 3 x)) (exp (* x -3))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))
23.0ms	(- (exp (* 3 x)) (exp (* x -3)))
23.0ms	(* (exp x) (exp x))
23.0ms	(* (exp x) (exp x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(/ (- (exp (* 3 x)) (exp (* x -3))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))
71.0ms	(- (exp (* 3 x)) (exp (* x -3)))
25.0ms	(* (exp x) (exp x))
22.0ms	(* (exp x) (exp x))

simplify1.7s

Counts: 144 → 144

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	3404×	body	1280	valid
1.5s	2494×	body	640	valid
646.0ms	8039×	body	80	valid
352.0ms	1253×	body	320	valid
94.0ms	586×	body	160	valid