Details

sample54.0ms

Algorithm

intervals

Results

41.0ms

532×

body

valid

simplify150.0ms

Calls

1 calls:

Slowest

150.0ms

(exp (- (- 1 (* x x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (fma x x -1))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`exp-prod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `exp-sum` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `rem-exp-log`

Calls

1 calls:

Slowest

2.0ms

(exp (fma x x -1))

series29.0ms

Calls

1 calls:

Slowest

29.0ms

(exp (fma x x -1))

simplify380.0ms

Calls

8 calls:

Slowest

234.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
91.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
18.0ms	(exp (sqrt (fma x x -1)))
13.0ms	(exp (fma x x -1))
12.0ms	(exp (* x x))

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(pow E (fma x x -1))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow-unpow` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `pow-exp` `add-exp-log`
1×	`expm1-log1p-u` `pow-to-exp` `unpow-prod-up` `e-exp-1` `pow-pow` `add-cbrt-cube` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Calls

1 calls:

Slowest

2.0ms

(pow E (fma x x -1))

series43.0ms

Calls

1 calls:

Slowest

43.0ms

(pow E (fma x x -1))

simplify466.0ms

Calls

12 calls:

Slowest

290.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
74.0ms	(pow (* (cbrt E) (cbrt E)) (fma x x -1))
25.0ms	(* 1 (fma x x -1))
23.0ms	(* (log E) (fma x x -1))
10.0ms	(exp (fma x x -1))

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow E (fma x x -1))
0.0b	(pow E (fma x x -1))
0.0b	(* (sqrt (pow E (fma x x -1))) (sqrt (pow E (fma x x -1))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
53×	`add-sqr-sqrt`
46×	`sqrt-pow1`
28×	`pow1`
27×	`*-un-lft-identity`
26×	`pow-unpow` `unpow-prod-down`
25×	`add-cube-cbrt`
16×	`unswap-sqr`
14×	`sqr-pow`
13×	`swap-sqr`
12×	`pow-prod-up`
11×	`associate-r` `associate-l`
10×	`pow-pow` `pow-prod-down`
8×	`pow1/2` `pow-sqr`
7×	`add-exp-log`
6×	`unpow-prod-up` `fma-udef`
5×	`add-cbrt-cube`
4×	`pow-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `e-exp-1`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

3 calls:

Slowest

41.0ms	(* (sqrt (pow E (fma x x -1))) (sqrt (pow E (fma x x -1))))
4.0ms	(pow E (fma x x -1))
4.0ms	(pow E (fma x x -1))

series215.0ms

Calls

3 calls:

Slowest

74.0ms	(pow E (fma x x -1))
71.0ms	(* (sqrt (pow E (fma x x -1))) (sqrt (pow E (fma x x -1))))
70.0ms	(pow E (fma x x -1))

simplify23.5s

Calls

163 calls:

Slowest

697.0ms	(* (sqrt (pow E (/ (fma x x -1) 2))) (sqrt (sqrt (pow E (fma x x -1)))))
487.0ms	(* (sqrt (sqrt (pow E (fma x x -1)))) (sqrt (sqrt (pow E (fma x x -1)))))
477.0ms	(* (sqrt (cbrt (pow E (fma x x -1)))) (sqrt (cbrt (pow E (fma x x -1)))))
464.0ms	(* (sqrt (sqrt (pow E (fma x x -1)))) (sqrt (sqrt (pow E (fma x x -1)))))
442.0ms	(* (cbrt (sqrt (pow E (fma x x -1)))) (cbrt (sqrt (pow E (fma x x -1)))))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (fma x x -1))
0.0b	(pow E (fma x x -1))
0.0b	(* (sqrt (exp (fma x x -1))) (sqrt (pow E (fma x x -1))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`sqrt-prod`
14×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`associate-r`
10×	`sqrt-pow1`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
7×	`exp-prod` `associate-l` `pow-prod-down`
6×	`pow-unpow` `add-exp-log`
5×	`add-cbrt-cube`
4×	`fma-udef` `add-log-exp` `sqr-pow`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`unpow-prod-up` `pow1/2` `exp-sum` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Calls

3 calls:

Slowest

18.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (pow E (fma x x -1))))
2.0ms	(pow E (fma x x -1))
2.0ms	(exp (fma x x -1))

series258.0ms

Calls

3 calls:

Slowest

176.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (pow E (fma x x -1))))
43.0ms	(exp (fma x x -1))
39.0ms	(pow E (fma x x -1))

simplify6.2s

Calls

71 calls:

Slowest

458.0ms	(* (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (pow E (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))))
310.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
303.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
293.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
223.0ms	(* (sqrt (sqrt (exp (fma x x -1)))) (sqrt (pow E (/ (fma x x -1) 2))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

15957×

body

valid