Details

sample137.0ms

Algorithm

intervals

Results

112.0ms

632×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
4	2160
3	649
2	198
1	56
0	19

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.1b	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.6b	(* (fma a -3 1) (* b b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.0ms	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
12.0ms	(* (fma a -3 1) (* b b))

series844.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
201.0ms	(fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
114.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
443.0ms	(* (fma a -3 1) (* b b))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
3	3014
2	635
1	200
0	94

prune871.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.6b	(* (fma a -3 1) (* b b))
0.6b	(* (fma a -3 1) (* b b))
0.6b	(* (fma a -3 1) (* b b))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-r` `*-commutative` `unswap-sqr`
1×	`pow1/3`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
28.0ms	(* (fma a -3 1) (* b b))
14.0ms	(* (fma a -3 1) (* b b))
13.0ms	(* (fma a -3 1) (* b b))

series477.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (fma 4 (fma a (fma a a a) (* (fma a -3 1) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
70.0ms	(* (fma a -3 1) (* b b))
103.0ms	(* (fma a -3 1) (* b b))
67.0ms	(* (fma a -3 1) (* b b))

simplify991.0ms

Counts

88 → 88

Iterations

Iter	Nodes
3	2339
2	617
1	202
0	88

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (fma a -3 1) (* b b))
0.6b	(* (fma a -3 1) (* b b))
0.6b	(* (fma a -3 1) (* b b))
0.6b	(* (fma a -3 1) (* b b))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* (fma a -3 1) (* b b))
13.0ms	(* (fma a -3 1) (* b b))
12.0ms	(* (fma a -3 1) (* b b))
13.0ms	(* (fma a -3 1) (* b b))

series300.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (fma a -3 1) (* b b))
79.0ms	(* (fma a -3 1) (* b b))
74.0ms	(* (fma a -3 1) (* b b))
67.0ms	(* (fma a -3 1) (* b b))

simplify1.0s

Counts

96 → 96

Iterations

Iter	Nodes
3	2549
2	418
1	107
0	42

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.6b	(* (fma a -3 1) (* b b))
14.7b	(cbrt (* (* (fma (fma a a (* b b)) (fma a a (* b b)) -1) (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`fma-udef`
1×	`cbrt-prod` `pow1/3` `associate-r` `pow3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 53

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
13.0ms	(* (fma a -3 1) (* b b))
9.0ms	(cbrt (* (* (fma (fma a a (* b b)) (fma a a (* b b)) -1) (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
84.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
89.0ms	(* (fma a -3 1) (* b b))
127.0ms	(cbrt (* (* (fma (fma a a (* b b)) (fma a a (* b b)) -1) (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify718.0ms

Counts

65 → 65

Iterations

Iter	Nodes
3	2318
2	495
1	148
0	74

prune848.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.1b

regimes245.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	15
1	15
0	14

end0.0ms

sample4.5s

Algorithm

intervals

Results

4.1s

20616×

body

valid