Details

sample63.0ms

Algorithm

intervals

Results

27.0ms	78×	body	1280	valid
14.0ms	56×	body	640	valid
10.0ms	184×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify33.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize13.0ms

Local error

Found 2 expressions with local error:

2.7b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 64

Calls

2 calls:

Slowest

21.0ms	(/ (- (exp x) 1) x)
9.0ms	(- (exp x) 1)

series82.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

50.0ms	(/ (- (exp x) 1) x)
31.0ms	(- (exp x) 1)

simplify947.0ms

Counts: 70 → 70

prune472.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 1/6 x)
0.1b	(* x (+ (* 1/6 x) 1/2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

Slowest

32.0ms	(* x (+ (* 1/6 x) 1/2))
6.0ms	(* 1/6 x)

series109.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(* x (+ (* 1/6 x) 1/2))
17.0ms	(* 1/6 x)

simplify688.0ms

Counts: 48 → 48

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* (exp x) (exp x)) (* 1 1))
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (* (exp x) (exp x)) (* 1 1)) (* x (+ (exp x) 1)))
0.0b	(* x (+ (exp x) 1))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

Slowest

76.0ms	(/ (- (* (exp x) (exp x)) (* 1 1)) (* x (+ (exp x) 1)))
43.0ms	(* x (+ (exp x) 1))
16.0ms	(* (exp x) (exp x))
14.0ms	(- (* (exp x) (exp x)) (* 1 1))

series207.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(/ (- (* (exp x) (exp x)) (* 1 1)) (* x (+ (exp x) 1)))
45.0ms	(- (* (exp x) (exp x)) (* 1 1))
42.0ms	(* x (+ (exp x) 1))
24.0ms	(* (exp x) (exp x))

simplify2.6s

Counts: 114 → 114

prune908.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (exp (+ x x)) (* 1 1))
0.0b	(/ (- (exp (+ x x)) (* 1 1)) (* x (+ (exp x) 1)))
0.0b	(* x (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `times-frac` `associate-/l*` `difference-of-squares`
4×	`associate-r` `associate-*r/` `insert-posit16`
3×	`flip3-+` `associate-l` `exp-sum` `flip-+` `distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip--` `distribute-lft-out` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

Slowest

82.0ms	(/ (- (exp (+ x x)) (* 1 1)) (* x (+ (exp x) 1)))
46.0ms	(- (exp (+ x x)) (* 1 1))
35.0ms	(* x (+ (exp x) 1))
13.0ms	(+ (exp x) 1)

series148.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(/ (- (exp (+ x x)) (* 1 1)) (* x (+ (exp x) 1)))
36.0ms	(* x (+ (exp x) 1))
34.0ms	(- (exp (+ x x)) (* 1 1))
9.0ms	(+ (exp x) 1)

simplify2.4s

Counts: 98 → 98

prune823.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.0b

bsearch69.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

959.0ms	2292×	body	1280	valid
499.0ms	1665×	body	640	valid
406.0ms	5334×	body	80	valid
174.0ms	839×	body	320	valid
49.0ms	392×	body	160	valid