Details

sample84.0ms

Algorithm

intervals

Results

28.0ms	97×	body	1280	valid
19.0ms	93×	body	640	valid
12.0ms	415×	pre	80	true
6.0ms	43×	body	320	valid
6.0ms	168×	body	80	valid
1.0ms	14×	body	160	valid

simplify23.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize12.0ms

Local error

Found 1 expressions with local error:

4.4b	(- (exp x) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

Slowest

16.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

25.0ms

(- (exp x) 1)

simplify868.0ms

Counts: 25 → 20

prune134.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.0b	(+ x (* (* x x) (+ 1/2 (* x 1/6))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

Slowest

39.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
12.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
11.0ms	(* x 1/6)

series166.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

92.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
46.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
28.0ms	(* x 1/6)

simplify430.0ms

Counts: 69 → 66

prune450.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

4.4b	(- (sqrt (exp x)) 1)
0.0b	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
0.0b	(+ (sqrt (exp x)) 1)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
11×	`associate-r`
10×	`sqrt-prod`
8×	`difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `flip3-+` `flip3--` `difference-of-sqr-1` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`sub-neg` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`+-commutative` `sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

Slowest

52.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
18.0ms	(+ (sqrt (exp x)) 1)
13.0ms	(- (sqrt (exp x)) 1)

series141.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

87.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
32.0ms	(- (sqrt (exp x)) 1)
22.0ms	(+ (sqrt (exp x)) 1)

simplify314.0ms

Counts: 102 → 85

prune585.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

4.3b	(+ (* (exp x) (* (exp x) (exp x))) -1)
0.3b	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (+ (* (exp x) (exp x)) (exp x)) 1))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`exp-prod`
33×	`add-cube-cbrt`
18×	`pow1`
12×	`times-frac`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
4×	`associate-/r*` `insert-posit16` `distribute-lft-out`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`pow2` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 118

Calls

4 calls:

Slowest

212.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (+ (* (exp x) (exp x)) (exp x)) 1))
42.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
26.0ms	(* (exp x) (exp x))
25.0ms	(* (exp x) (exp x))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) -1) (+ (+ (* (exp x) (exp x)) (exp x)) 1))
45.0ms	(+ (* (exp x) (* (exp x) (exp x))) -1)
27.0ms	(* (exp x) (exp x))
18.0ms	(* (exp x) (exp x))

simplify453.0ms

Counts: 148 → 130

prune856.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

97.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.5b

bsearch29.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	3309×	body	1280	valid
979.0ms	2559×	body	640	valid
313.0ms	12090×	pre	80	true
183.0ms	1312×	body	320	valid
163.0ms	4282×	body	80	valid
48.0ms	628×	body	160	valid