Details

sample65.0ms

Algorithm

intervals

Results

29.0ms	79×	body	1280	valid
9.0ms	181×	body	80	valid
8.0ms	33×	body	640	valid
5.0ms	29×	body	320	valid
2.0ms	19×	body	160	valid

simplify8.8s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(expm1 (* a x))

simplify1.6s

Counts

15 → 15

Iterations

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

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
14.9b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite44.0ms

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))
23.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
10.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
10.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(expm1 (* a x))
59.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
51.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
42.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify782.0ms

Counts

96 → 96

Iterations

Iter	Nodes
3	2508
2	667
1	258
0	100

prune617.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
14.9b	(cbrt (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (expm1 (* a x)))) (expm1 (* a x))))

rewrite132.0ms

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

series395.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (expm1 (* a x)))
132.0ms	(cbrt (expm1 (* a x)))
107.0ms	(cbrt (expm1 (* a x)))
41.0ms	(cbrt (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (expm1 (* a x)))) (expm1 (* a x))))

simplify3.8s

Counts

66 → 66

Iterations

Iter	Nodes
4	6015
3	1499
2	404
1	148
0	67

prune560.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
8.8b	(sqrt (expm1 (* a x)))
8.8b	(sqrt (expm1 (* a x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up` `log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `expm1-log1p` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 96

Calls

4 calls:

1.0ms	(expm1 (* a x))
11.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
1.0ms	(sqrt (expm1 (* a x)))
1.0ms	(sqrt (expm1 (* a x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(expm1 (* a x))
49.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
74.0ms	(sqrt (expm1 (* a x)))
91.0ms	(sqrt (expm1 (* a x)))

simplify6.6s

Counts

108 → 108

Iterations

Iter	Nodes
4	9194
3	1890
2	540
1	208
0	89

prune652.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

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

sample2.7s

Algorithm

intervals

Results

1.1s	2712×	body	1280	valid
821.0ms	1305×	body	640	valid
321.0ms	5348×	body	80	valid
136.0ms	771×	body	320	valid
77.0ms	424×	body	160	valid