Details

sample67.0ms

Algorithm

intervals

Results

34.0ms	91×	body	1280	valid
9.0ms	39×	body	640	valid
8.0ms	154×	body	80	valid
4.0ms	30×	body	320	valid
1.0ms	11×	body	160	valid

simplify1.3s

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

prune7.0ms

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(expm1 (* a x))

simplify993.0ms

Counts

15 → 15

Iterations

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

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))
18.4b	(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))
27.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
9.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
13.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(expm1 (* a x))
66.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
49.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
40.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify963.0ms

Counts

96 → 96

Iterations

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

prune252.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
0.0b	(* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
1.7b	(log (exp (* (expm1 (* a x)) (expm1 (* a x)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
8.0ms	(* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))
6.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
4.0ms	(log (exp (* (expm1 (* a x)) (expm1 (* a x)))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x))))
49.0ms	(* (log (exp (* (expm1 (* a x)) (expm1 (* a x))))) (expm1 (* a x)))
38.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
41.0ms	(log (exp (* (expm1 (* a x)) (expm1 (* a x)))))

simplify842.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2007
3	2007
2	727
1	290
0	118

prune403.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

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

sample2.6s

Algorithm

intervals

Results

1.0s	2698×	body	1280	valid
741.0ms	5338×	body	80	valid
416.0ms	1344×	body	640	valid
169.0ms	740×	body	320	valid
51.0ms	427×	body	160	valid