Details

sample60.0ms

Algorithm

intervals

Results

25.0ms	76×	body	1280	valid
11.0ms	49×	body	640	valid
8.0ms	162×	body	80	valid
4.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
8	2007
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(expm1 (* a x))

simplify1.1s

Counts

15 → 15

Iterations

Iter	Nodes
done	2004
4	2004
3	881
2	231
1	74
0	31

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.0b	(cbrt (expm1 (* a x)))
9.0b	(cbrt (expm1 (* a x)))
9.0b	(cbrt (expm1 (* a x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

17.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
2.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
145.0ms	(cbrt (expm1 (* a x)))
129.0ms	(cbrt (expm1 (* a x)))
129.0ms	(cbrt (expm1 (* a x)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	2002
2	578
1	219
0	89

prune726.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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)))
16.9b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite52.0ms

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:

1.0ms	(expm1 (* a x))
23.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
9.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
18.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(expm1 (* a x))
63.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
54.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
49.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify981.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2005
3	2005
2	729
1	271
0	100

prune750.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (expm1 (* a x)))
9.0b	(cbrt (expm1 (* a x)))
9.0b	(cbrt (expm1 (* a x)))
16.9b	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
416.0ms	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (expm1 (* a x)))
126.0ms	(cbrt (expm1 (* a x)))
132.0ms	(cbrt (expm1 (* a x)))
53.0ms	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))

simplify857.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2033
4	2033
3	1819
2	435
1	160
0	67

prune619.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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

1.1s	2768×	body	1280	valid
363.0ms	5504×	body	80	valid
320.0ms	1344×	body	640	valid
106.0ms	672×	body	320	valid
40.0ms	369×	body	160	valid