Details

sample294.0ms

Algorithm

intervals

Results

140.0ms	252×	body	10240	exit
64.0ms	97×	body	1280	valid
58.0ms	80×	body	640	valid
13.0ms	42×	body	320	valid
4.0ms	22×	body	160	valid
1.0ms	15×	body	80	valid

simplify78.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

78.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.2b

localize25.0ms

Local error

Found 3 expressions with local error:

5.9b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite76.0ms

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

48.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
43.0ms	(- (exp x) (exp (- x)))
34.0ms	(+ (exp x) (exp (- x)))

simplify3.9s

Counts

69 → 85

Calls

69 calls:

Slowest

379.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
330.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
316.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
236.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
203.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune721.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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

1.0ms

(tanh x)

series98.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

98.0ms

(tanh x)

simplify723.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

364.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
275.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
83.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x -1/3)
0.1b	(* (* x x) (* x -1/3))
0.1b	(* (pow x 5) 2/15)
0.0b	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

127.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
33.0ms	(* (* x x) (* x -1/3))
16.0ms	(* (pow x 5) 2/15)
6.0ms	(* x -1/3)

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
69.0ms	(* (* x x) (* x -1/3))
66.0ms	(* (pow x 5) 2/15)
27.0ms	(* x -1/3)

simplify4.7s

Counts

54 → 94

Calls

54 calls:

Slowest

662.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
505.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
441.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
432.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
403.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune822.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

35.9b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
0.0b	(* (tanh x) (tanh x))
0.0b	(tanh x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

171×	`frac-times`
105×	`tanh-def`
63×	`cbrt-div`
57×	`associate-*l/`
33×	`associate-*r/`
30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 218

Calls

4 calls:

Slowest

39.0ms	(* (* (tanh x) (tanh x)) (tanh x))
30.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
19.0ms	(* (tanh x) (tanh x))
1.0ms	(tanh x)

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(* (* (tanh x) (tanh x)) (tanh x))
116.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
109.0ms	(* (tanh x) (tanh x))
104.0ms	(tanh x)

simplify1.4m

Counts

254 → 230

Calls

254 calls:

Slowest

1.1s	(* (* (- (exp (* 2 x)) 1) (tanh x)) (tanh x))
907.0ms	(* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1))
858.0ms	(cbrt (* (* (- 1 (exp (* -2 x))) (tanh x)) (tanh x)))
798.0ms	(cbrt (* (* (tanh x) (- 1 (exp (* -2 x)))) (tanh x)))
764.0ms	(cbrt (* (* (- (exp (* 2 x)) 1) (tanh x)) (tanh x)))

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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

5.7s	7641×	body	10240	exit
2.8s	3336×	body	1280	valid
1.3s	2384×	body	640	valid
567.0ms	626×	body	160	valid
436.0ms	1229×	body	320	valid
77.0ms	425×	body	80	valid