Details

sample76.0ms

Algorithm

intervals

Results

29.0ms	82×	body	1280	valid
17.0ms	42×	body	640	valid
8.0ms	176×	body	80	valid
3.0ms	19×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

1.0ms

(expm1 (* a x))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(expm1 (* a x))

simplify2.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2980
3	881
2	231
1	74
0	31

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
17.4b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

0.0ms	(expm1 (* a x))
19.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
7.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
23.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(expm1 (* a x))
82.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
53.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
61.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	2208
2	729
1	271
0	100

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* a x) (* a x)) (* a x))
0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
12.1b	(fma 1/2 (* (* a x) (* a x)) (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

237×	`pow1`
103×	`pow-prod-down`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
42×	`pow-prod-up`
21×	`pow-plus`
20×	`pow-sqr`
5×	`pow2`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative`
2×	`swap-sqr`
1×	`pow3` `fma-udef`

Counts

4 → 162

Calls

4 calls:

157.0ms	(* (* (* a x) (* a x)) (* a x))
31.0ms	(* (* a x) (* a x))
54.0ms	(* (* a x) (* a x))
1.0ms	(fma 1/2 (* (* a x) (* a x)) (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (* a x) (* a x)) (* a x))
40.0ms	(* (* a x) (* a x))
41.0ms	(* (* a x) (* a x))
112.0ms	(fma 1/2 (* (* a x) (* a x)) (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))

simplify1.7s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	846
1	243
0	97

prune435.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

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
done	5
1	5
0	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

864.0ms	2702×	body	1280	valid
741.0ms	5304×	body	80	valid
253.0ms	1366×	body	640	valid
133.0ms	807×	body	320	valid
33.0ms	405×	body	160	valid