Details

sample55.0ms

Algorithm

intervals

Results

39.0ms

512×

body

valid

simplify8.3s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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`

Counts

1 → 15

Calls

1 calls:

Slowest

2.0ms

(exp (fma x x -1))

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

(exp (fma x x -1))

simplify2.3s

Counts: 18 → 18

prune139.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

1.0b	(expm1 (exp (fma x x -1)))
0.0b	(log1p (expm1 (exp (fma x x -1))))
0.0b	(exp (fma x x -1))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

Slowest

2.0ms	(exp (fma x x -1))
1.0ms	(expm1 (exp (fma x x -1)))
0.0ms	(log1p (expm1 (exp (fma x x -1))))

series402.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

253.0ms	(log1p (expm1 (exp (fma x x -1))))
122.0ms	(expm1 (exp (fma x x -1)))
27.0ms	(exp (fma x x -1))

simplify1.2s

Counts: 48 → 48

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1))))
1.0b	(* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))
1.0b	(expm1 (cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))))
0.0b	(* (exp (fma x x -1)) (exp (fma x x -1)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

45×	`exp-prod`
30×	`pow1`
27×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow-prod-up`
13×	`pow-prod-down`
11×	`add-cbrt-cube`
9×	`pow-sqr`
8×	`associate-r`
7×	`pow-plus`
5×	`associate-l` `exp-sum` `add-exp-log` `fma-udef` `log1p-expm1-u`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `expm1-log1p` `pow1/3` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 106

Calls

4 calls:

Slowest

59.0ms	(* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))
37.0ms	(cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1))))
21.0ms	(* (exp (fma x x -1)) (exp (fma x x -1)))
1.0ms	(expm1 (cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(expm1 (cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))))
90.0ms	(* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1)))
61.0ms	(* (exp (fma x x -1)) (exp (fma x x -1)))
31.0ms	(cbrt (* (* (exp (fma x x -1)) (exp (fma x x -1))) (exp (fma x x -1))))

simplify1.1s

Counts: 118 → 118

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

15849×

body

valid