Details

sample85.0ms

Algorithm

intervals

Results

37.0ms	76×	body	1280	valid
15.0ms	49×	body	640	valid
12.0ms	162×	body	80	valid
6.0ms	27×	body	320	valid
2.0ms	12×	body	160	valid

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
8	7387
7	1361
6	393
5	143
4	58
3	29
2	17
1	13
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(expm1 (* a x))

simplify1.2s

Counts

15 → 15

Iterations

Iter	Nodes
4	2766
3	788
2	220
1	72
0	31

prune129.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite12.0ms

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:

8.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
142.0ms	(cbrt (expm1 (* a x)))
129.0ms	(cbrt (expm1 (* a x)))
147.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Counts

97 → 97

Iterations

Iter	Nodes
4	6524
3	1691
2	526
1	210
0	89

prune904.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite57.0ms

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))
28.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
12.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
16.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(expm1 (* a x))
78.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
71.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
35.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify1.0s

Counts

96 → 96

Iterations

Iter	Nodes
3	2508
2	667
1	258
0	100

prune956.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))))

rewrite465.0ms

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)))
462.0ms	(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))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (expm1 (* a x)))
131.0ms	(cbrt (expm1 (* a x)))
150.0ms	(cbrt (expm1 (* a x)))
52.0ms	(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))))

simplify3.3s

Counts

66 → 66

Iterations

Iter	Nodes
4	5609
3	1424
2	401
1	158
0	67

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes144.0ms

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
2	5
1	5
0	4

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	2768×	body	1280	valid
416.0ms	5504×	body	80	valid
376.0ms	1344×	body	640	valid
123.0ms	672×	body	320	valid
46.0ms	369×	body	160	valid