Details

sample323.0ms

Algorithm

intervals

Results

175.0ms	235×	body	10240	exit
78.0ms	105×	body	1280	valid
41.0ms	81×	body	640	valid
11.0ms	38×	body	320	valid
3.0ms	15×	body	160	valid
2.0ms	17×	body	80	valid

simplify57.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

56.0ms

(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize29.0ms

Local error

Found 3 expressions with local error:

4.9b	(- (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `insert-posit16`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Counts

3 → 76

Calls

3 calls:

Slowest

72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
29.0ms	(- (exp x) (exp (- x)))
10.0ms	(+ (exp x) (exp (- x)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

80.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
47.0ms	(- (exp x) (exp (- x)))
25.0ms	(+ (exp x) (exp (- x)))

simplify3.9s

Counts

69 → 85

Calls

69 calls:

Slowest

424.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
325.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
309.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
237.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
225.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune671.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

2.0ms

(tanh x)

series124.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

124.0ms

(tanh x)

simplify735.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

395.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
279.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
60.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.1b	(* (pow x 5) 2/15)
0.0b	(+ (* (* (* x x) -1/3) x) x)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`*-un-lft-identity` `cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down` `add-cube-cbrt`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

56.0ms	(+ (* (* (* x x) -1/3) x) x)
46.0ms	(* (* (* x x) -1/3) x)
14.0ms	(* (* x x) -1/3)
8.0ms	(* (pow x 5) 2/15)

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(+ (* (* (* x x) -1/3) x) x)
67.0ms	(* (pow x 5) 2/15)
52.0ms	(* (* (* x x) -1/3) x)
43.0ms	(* (* x x) -1/3)

simplify4.5s

Counts

55 → 94

Calls

55 calls:

Slowest

705.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
554.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/15 2/15) 2/15))
411.0ms	(* (exp (* (* (* x x) -1/3) x)) (exp x))
277.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* -1/3 -1/3) -1/3))
263.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune682.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

4.9b	(- 1 (exp (* -2 x)))
0.5b	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*`
3×	`pow1` `insert-posit16`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 81

Calls

3 calls:

Slowest

28.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
13.0ms	(+ 1 (exp (* -2 x)))
7.0ms	(- 1 (exp (* -2 x)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

54.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
22.0ms	(- 1 (exp (* -2 x)))
17.0ms	(+ 1 (exp (* -2 x)))

simplify12.7s

Counts

80 → 90

Calls

80 calls:

Slowest

658.0ms	(/ (* (* (- 1 (exp (* -2 x))) (- 1 (exp (* -2 x)))) (- 1 (exp (* -2 x)))) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
477.0ms	(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
349.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
332.0ms	(- (pow 1 3) (pow (exp (* -2 x)) 3))
296.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))

prune665.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.2s	7470×	body	10240	exit
3.0s	3298×	body	1280	valid
1.2s	2493×	body	640	valid
391.0ms	1188×	body	320	valid
108.0ms	583×	body	160	valid
44.0ms	438×	body	80	valid