Details

sample31.0ms

Algorithm

intervals

Results

23.0ms

540×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
8	5066
7	1261
6	330
5	159
4	89
3	49
2	23
1	10
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

4.0ms

(exp (fma x x -1))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(exp (fma x x -1))

simplify3.3s

Counts

18 → 18

Iterations

Iter	Nodes
5	4006
4	1101
3	344
2	121
1	59
0	34

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (* (* x x) (* x x)) (* x x))
0.0b	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))
0.1b	(* (* x x) (* x x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

114×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
15×	`add-cbrt-cube` `add-exp-log`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
3×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

0.0ms	(fma 1/2 (* (* x x) (* x x)) (* x x))
0.0ms	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))
36.0ms	(* (* x x) (* x x))

series276.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(fma 1/2 (* (* x x) (* x x)) (* x x))
101.0ms	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))
52.0ms	(* (* x x) (* x x))

simplify35.2s

Counts

97 → 97

Iterations

Iter	Nodes
4	16640
3	1914
2	435
1	143
0	81

prune877.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fma x x -1))
1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (exp (fma x x -1)))
1.0b	(cbrt (exp (fma x x -1)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

2.0ms	(exp (fma x x -1))
2.0ms	(cbrt (exp (fma x x -1)))
2.0ms	(cbrt (exp (fma x x -1)))
2.0ms	(cbrt (exp (fma x x -1)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(exp (fma x x -1))
165.0ms	(cbrt (exp (fma x x -1)))
210.0ms	(cbrt (exp (fma x x -1)))
221.0ms	(cbrt (exp (fma x x -1)))

simplify9.1s

Counts

72 → 72

Iterations

Iter	Nodes
5	7284
4	1931
3	595
2	211
1	102
0	60

prune357.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

539.0ms	(expm1 (log1p (cbrt (exp (fma x x -1)))))
189.0ms	(cbrt (exp (fma x x -1)))
228.0ms	(cbrt (exp (fma x x -1)))
182.0ms	(cbrt (exp (fma x x -1)))

simplify2.6s

Counts

69 → 69

Iterations

Iter	Nodes
5	3127
4	992
3	369
2	151
1	82
0	53

prune380.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

15875×

body

valid