Details

sample263.0ms

Algorithm

intervals

Results

131.0ms	235×	body	10240	exit
67.0ms	105×	body	1280	valid
35.0ms	81×	body	640	valid
11.0ms	38×	body	320	valid
2.0ms	15×	body	160	valid
2.0ms	17×	body	80	valid

simplify114.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

114.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize28.0ms

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)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
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×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
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 → 97

Calls

3 calls:

Slowest

74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
32.0ms	(- (exp x) (exp (- x)))
10.0ms	(+ (exp x) (exp (- x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
62.0ms	(- (exp x) (exp (- x)))
39.0ms	(+ (exp x) (exp (- x)))

simplify6.3s

Counts

91 → 106

Calls

91 calls:

Slowest

375.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
365.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
308.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
259.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
254.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune911.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

Slowest

1.0ms

(tanh x)

series101.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

101.0ms

(tanh x)

simplify553.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

310.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
172.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
69.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

Slowest

10.0ms	(* x -1/3)
0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))

series261.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

163.0ms	(fma 2/15 (pow x 5) x)
82.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
16.0ms	(* x -1/3)

simplify1.3s

Counts

18 → 52

Calls

18 calls:

Slowest

191.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
179.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
177.0ms	(+ x (* 2/15 (pow x 5)))
172.0ms	(+ x (* 2/15 (pow x 5)))
171.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune511.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`prod-diff`
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×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
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 → 102

Calls

3 calls:

Slowest

44.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
8.0ms	(- 1 (exp (* -2 x)))
5.0ms	(+ 1 (exp (* -2 x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

91.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
20.0ms	(- 1 (exp (* -2 x)))
16.0ms	(+ 1 (exp (* -2 x)))

simplify18.3s

Counts

102 → 111

Calls

102 calls:

Slowest

724.0ms	(/ (* (* (- 1 (exp (* -2 x))) (- 1 (exp (* -2 x)))) (- 1 (exp (* -2 x)))) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
593.0ms	(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
567.0ms	(/ (exp 1) (exp (exp (* -2 x))))
449.0ms	(- (+ (* 2 x) (* 4/3 (pow x 3))) (* 2 (pow x 2)))
349.0ms	(fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (exp (* -2 x))) (* (cbrt (exp (* -2 x))) (cbrt (exp (* -2 x)))))))

prune890.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.8s

Algorithm

intervals

Results

6.0s	7470×	body	10240	exit
2.3s	3298×	body	1280	valid
1.5s	2493×	body	640	valid
448.0ms	1188×	body	320	valid
100.0ms	583×	body	160	valid
40.0ms	438×	body	80	valid