Details

sample82.0ms

Algorithm

intervals

Results

37.0ms	78×	body	1280	valid
13.0ms	46×	body	640	valid
11.0ms	187×	body	80	valid
5.0ms	24×	body	320	valid
2.0ms	16×	body	160	valid

simplify9.2s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(expm1 (* a x))

simplify1.3s

Counts

15 → 15

Iterations

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

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))
15.5b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

rewrite67.0ms

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))
31.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
12.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
22.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(expm1 (* a x))
82.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
51.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
49.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
3	2508
2	667
1	258
0	100

prune858.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
1.6b	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))
15.5b	(cbrt (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
21.5b	(log (* (expm1 (* a x)) (expm1 (* a x))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
20.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))
35.0ms	(cbrt (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
7.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
61.0ms	(exp (log (* (expm1 (* a x)) (expm1 (* a x)))))
56.0ms	(cbrt (* (exp (log (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
110.0ms	(log (* (expm1 (* a x)) (expm1 (* a x))))

simplify582.0ms

Counts

92 → 92

Iterations

Iter	Nodes
3	2037
2	600
1	243
0	107

prune930.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
9.9b	(sqrt (expm1 (* a x)))
9.9b	(sqrt (expm1 (* a x)))

rewrite19.0ms

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:

0.0ms	(expm1 (* a x))
12.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
2.0ms	(sqrt (expm1 (* a x)))
3.0ms	(sqrt (expm1 (* a x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(expm1 (* a x))
51.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
80.0ms	(sqrt (expm1 (* a x)))
70.0ms	(sqrt (expm1 (* a x)))

simplify6.3s

Counts

108 → 108

Iterations

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

prune928.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes101.0ms

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

sample2.9s

Algorithm

intervals

Results

1.6s	2649×	body	1280	valid
469.0ms	1341×	body	640	valid
404.0ms	5418×	body	80	valid
161.0ms	759×	body	320	valid
52.0ms	400×	body	160	valid