Details

sample86.0ms

Algorithm

intervals

Results

32.0ms	116×	body	1280	valid
19.0ms	65×	body	640	valid
12.0ms	389×	pre	80	true
6.0ms	49×	body	320	valid
5.0ms	141×	body	80	valid
2.0ms	18×	body	160	valid

simplify15.0ms

Calls

1 calls:

Slowest

14.0ms

(- (exp x) 1)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

6.0ms

(- (exp x) 1)

series17.0ms

Calls

1 calls:

Slowest

17.0ms

(- (exp x) 1)

simplify196.0ms

Calls

4 calls:

Slowest

159.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
14.0ms	(+ (sqrt (exp x)) 1)
13.0ms	(- (exp x) 1)
9.0ms	(- (exp x) 1)

prune121.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
2×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
1×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`

Calls

2 calls:

Slowest

5.0ms	(* (+ 1/2 (* x 1/6)) (* x x))
0.0ms	(* x 1/6)

series40.0ms

Calls

2 calls:

Slowest

32.0ms	(* (+ 1/2 (* x 1/6)) (* x x))
8.0ms	(* x 1/6)

simplify1.1s

Calls

13 calls:

Slowest

341.0ms	(* (+ (pow 1/2 3) (pow (* x 1/6) 3)) (* x x))
178.0ms	(* (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6))) (* x x))
165.0ms	(* (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6))) (* (* (* x x) (* x x)) (* x x)))
82.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
80.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize0.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

4.0ms

(- (exp x) 1)

series13.0ms

Calls

1 calls:

Slowest

13.0ms

(- (exp x) 1)

simplify187.0ms

Calls

4 calls:

Slowest

152.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
15.0ms	(- (exp x) 1)
10.0ms	(+ (sqrt (exp x)) 1)
9.0ms	(- (exp x) 1)

prune80.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (* (exp x) (exp x)) (* 1 1))
0.0b	(/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))
0.0b	(* (exp x) (exp x))
0.0b	(+ (exp x) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`add-exp-log` `add-log-exp`
5×	`difference-of-squares`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l*`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv`

Calls

4 calls:

Slowest

28.0ms	(/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))
12.0ms	(- (* (exp x) (exp x)) (* 1 1))
7.0ms	(* (exp x) (exp x))
5.0ms	(+ (exp x) 1)

series93.0ms

Calls

4 calls:

Slowest

50.0ms	(/ (- (* (exp x) (exp x)) (* 1 1)) (+ (exp x) 1))
21.0ms	(- (* (exp x) (exp x)) (* 1 1))
15.0ms	(* (exp x) (exp x))
7.0ms	(+ (exp x) 1)

simplify3.9s

Calls

63 calls:

Slowest

611.0ms	(/ (* (* (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1))) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
206.0ms	(+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2))))
151.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
137.0ms	(- (pow (* (exp x) (exp x)) 3) (pow (* 1 1) 3))
132.0ms	(- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (* 1 1) (* 1 1)))

prune573.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes194.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.4s	3425×	body	1280	valid
603.0ms	2482×	body	640	valid
388.0ms	12012×	pre	80	true
269.0ms	4204×	body	80	valid
174.0ms	1274×	body	320	valid
53.0ms	627×	body	160	valid